## Background & Summary

The human hand has a fundamental role in many aspects of everyday life. Its morphological structure not only makes it one of the distinctive characteristics of the human species, but it also provides us with unique manipulative abilities1,2. We use it to sense and interact with the environment and it has an essential role in social interactions and communication. Losing a hand therefore has severe physical and psychological consequences on a person’s life. Myoelectric hand prostheses have enabled amputees to restore some of the missing functionality. In their conventional form, prostheses use surface electromyography (sEMG) from an antagonist pair of muscles to open and close a simple gripper. A large number of pattern recognition (PR) approaches have been developed over the years aiming to increase the functionality and control of more dexterous prostheses3,4,5. Despite these efforts, PR-based prostheses have not managed to deliver their full potential in practical clinical applications6,7. One of the primary causes is that they are sensitive to the variability of sEMG, limiting the robustness and reliability in long-term practical applications4,8,9,10,11,12,13,14. This limitation is inherent in the use of sEMG as a control modality, since myoelectric signals are known to depend on factors such as electrode displacement, inconsistency of the skin-electrode interface, changes in arm position, and characteristics of the amputation.

Several techniques have been proposed to address this variability and thus improve the stability of the prosthetic control4,11,15,16. One approach relies on fusing sEMG with complementary sources of information, such as gaze and computer vision17,18,19,20. Studies on eye-hand coordination have in fact shown that gaze typically anticipates and guides grasping and manipulation21,22,23. In other words, humans will look at an object they intend to grasp before executing the movement itself. Gaze behavior therefore holds valuable information for recognizing not only the intention to grasp an object, but also to identify which object the person intends to grasp. The set of likely grasps can then be estimated based on the size, shape, and affordances of this object. For large objects, this may be further refined by considering the exact part or side of the object on which the person fixates.

There are two compelling motivations for using gaze behavior in the context of upper limb prosthetics. The first is that gaze behavior is not necessarily affected by the amputation. Any information on muscular activation recorded from the residual limb, such as sEMG, is inherently degraded due to muscular reorganization after the amputation and subsequent atrophy due to reduced use. The second advantage is that integrating some level of autonomy in a prosthesis can lower the physical and psychological burden placed on its user. Fatigue is one of the causes of variability in sEMG data24,25,26, so reducing it can help to stabilize control.

This paper presents the MeganePro dataset 1 (MDS1) acquired during the MeganePro project, which was designed based on the experience gained during the NinaPro project27. The goals of the MeganePro project were to investigate the use of gaze and computer vision to improve the control of myoelectric hand prostheses for transradial amputees, and to better understand the neurocognitive effects of amputation. This dataset was acquired to explore the first goal: it contains multimodal data from 15 transradial amputees and 30 able-bodied subjects while involved in grasping and manipulating objects using 10 common grasps. Throughout the exercise, we acquired sEMG and accelerometry using twelve electrodes on the forearm. Gaze, first person video, and inertial measurements of the head were recorded using eye tracking glasses.

In the following sections, we describe the experimental protocol, the processing procedures, and the resulting data records. Although prosthetic control was our motivation for acquiring this dataset, it is our belief that the data will find broader applications. For instance, scientists working in neuroscience, psychophysics, or rehabilitation robotics may use it to study gaze and manipulation independently as well as via their coordination. In particular, the data allow direct comparison of able-bodied subjects and transradial amputees in an identical experimental setting. As such, it may contribute not only to develop better prostheses but also a better understanding of human behavior and the implications of amputation.

## Methods

The acquisition of the dataset consisted of defining an experimental protocol and determining the requirements in terms of devices and software. A general overview of the setup and protocol is shown in Fig. 1. Once the ethical approval was obtained, we proceeded with subject recruitment. In the following, all these phases are described in detail.

### Ethical Requirements

The experiment was designed and conducted in accordance with the principles expressed in the Declaration of Helsinki. Ethical approval for our study was requested to and approved by the Ethics Commission of the canton of Valais in Switzerland (CCVEM 010/11) and by the Ethics Commission of the Province of Padova in Italy (NRC AOP1010, CESC 4078/AO/17). Prior to the experiment, each subject was given a detailed written and oral explanation of the experimental setup and protocol. They were then required to give informed consent to participate in the research study.

### Subject Recruitment

A total of 15 transradial amputees and 30 able-bodied subjects were recruited for this study. The former group consists of 13 male and 2 female (13.3%) participants with an average age of (47.13 ± 14.16) years. As seen in Table 1, among them are diverse causes for amputation and different preferences with respect to prosthetic use. To remove possible confounding variables, we recruited a control group of able-bodied participants that matched the former group as much as possible in terms of age and gender. This group is composed of 27 male and 3 female (10.0%) subjects, with an average age of (46.63 ± 15.11) years.

### Acquisition Setup

We designed an acquisition setup that allowed us to perform eye tracking and to acquire sEMG from the forearm, while leaving the subjects as free as possible in their movements. Custom developed software interfaced with the acquisition devices and provided stimuli instructing the subjects when to grasp which object.

#### Sensors

The electrical activity of the forearm muscles was recorded with a Delsys Trigno Wireless sEMG System (Delsys Inc., USA, http://www.delsys.com/). This system consists of sEMG electrodes with an inter-sensor latency lower than 500 μs and a signal baseline noise lower than 750 nV Root Mean Square (RMS). In addition, a three-axial accelerometer is embedded in each electrode. Up to 16 electrodes communicate wirelessly with the base station, which is connected through a USB 2.0 cable to the acquisition laptop. The sEMG data are sampled at 1926 Hz and the accelerometer at 148 Hz. The accelerometer range was set at ±1.5 g, for which the device documentation reports a noise of 0.007 g RMS. The corresponding offset error is ±0.201 g for the X and Y axes and (0.201 to −0.343) g for the Z axis28.

The gaze behavior and first person video were recorded with the Tobii Pro Glasses 2 (Tobii AB, Sweden, http://www.tobiipro.com/). The head unit of this device is similar to regular eyeglasses and equipped with four eye cameras recording the eye movement, a camera capturing the scene in front of the subject, an Inertial Measurement Unit (IMU), and a microphone. It weighs only 45 g and corrective lenses can be applied for subjects with visual deficit. The eyes are tracked using corneal reflection and dark pupil methods with automatic parallax and slippage compensation. These eye tracking data are sampled at 100 Hz with a theoretical accuracy and precision of 0.5° and 0.3° RMS29. Video with Full HD resolution (1920 px × 1080 px) is recorded at 25 fps by the scene camera with a horizontal and vertical field of view of approximately 82° and 52°. The head unit is connected via a cable to a portable recording unit that is responsible for transmitting the data wirelessly and storing them on a memory card. A rechargeable and replaceable battery powers both head and recording units and provides a maximum recording time of approximately 120 min. The system can quickly and easily be calibrated with a single point calibration procedure.

#### Acquisition Software

The role of the acquisition software is to simultaneously acquire and store the data from all sensor devices, and to guide the subject through the exercises. To ensure high performance and low latency, the application was developed in C++ and based on the multithreaded producer-consumer pattern, as implemented in CEINMS30. More specifically, for each data source there is a dedicated producer thread responsible for acquiring its data, assigning a high-resolution timestamp, and then storing these in a queue. Per queue there is at least one consumer thread that stores available data to a file. The advantage of this architecture is that it uncouples the data acquisition from I/O latency when saving the data to a persistent storage.

A Graphical User Interface (GUI) developed in Qt5 (https://www.qt.io/) was added to the application to demonstrate using videos and images how to perform the exercises. In previous studies, such as NinaPro27, the subjects had to mimic a grasp movement that was shown in a video. This approach is not compatible with the present study, since it influences the subject’s gaze behavior. We therefore opted to avoid the need for visual attention and to instruct the subjects via vocal instructions during the real exercise. These instructions were automatically synthesized by a text-to-speech engine, which allowed us to prepare instructions in English, Italian, French, and German. At the start of the exercise subjects could choose the language they were most comfortable with.

#### Grasp Types and Objects

A total of ten grasp types were selected for our exercise from well-known hand taxonomies31,32,33,34 based on their relevance for Activities of Daily Living (ADLs)35. These grasp types were then matched with three household objects each that would regularly be manipulated using a given grasp. An overview of the ten grasp types and eighteen objects is given in Table 2. When possible, these pairings were chosen to obtain a many-to-many relationship between objects and grasp types; that is, a grasp could be used with multiple objects and vice versa. This requirement helped to limit the possibility that the mere presence of an object would be sufficient to unequivocally determine the grasp type.

In the case that an object is not usually found on a table (e.g., a door handle or a door lock), a custom made support was created. To avoid complications during the exercise, the key, bulb, lid of the jar, and the screw used with the screwdriver were modified such that they could not be completely removed from the support. Furthermore, the pull tab of the can was bent to facilitate the execution of the grasp.

During the exercise, at least five objects were simultaneously placed in the scene with a predefined position. The presence of multiple objects in front of the subjects helped to simulate a real environment, while a standardized object arrangement minimized the possibility of an error during the placement of the objects. In addition, these objects were spread throughout the subject’s reachable workspace so that grasps had to be performed while reaching in various directions.

### Acquisition Protocol

After the ethical requirements were fulfilled, the subject’s data, such as age, gender, height, weight, and handedness were collected. The amputees were asked additional information regarding the amputation, such as cause, type, years since amputation, and prosthesis use. A summary of this information is reported in Table 1.

The subjects were asked to sit with the forearm comfortably leaning on a desk and, for amputees, to remove the prosthesis. The skin was cleaned with isopropyl alcohol and twelve sEMG electrodes were placed in two arrays around the right forearm or residual limb. An array of eight electrodes was placed equidistantly around the forearm, starting at the radio-humeral joint and moving in the direction of pronation. A second array was located approximately 45 mm more distally and aligned with the gaps between electrodes one and two, three and four, and so on (see Fig. 1). In addition to the Trigno-specific adhesive strips, a latex-free elastic band was wrapped around the electrodes to assure a good and reliable interface with the skin. As widely done in the field of PR myoelectric control, the sEMG electrodes were placed around the proximal part of the forearm, where most of the extrinsic muscles of the hand lie, following an untargeted approach5. This approach consists of several equidistantly placed electrodes, recording the forearm (intact or residual) musculature’s electrical activity from multiple sEMG sites, without targeting any specific muscles or muscle parts36.

The subject was then asked to wear the Tobii Pro glasses, where we made sure to choose the nose pad that aligned the eye tracking cameras’ appropriately. Once the subject felt ready, the Tobii Pro glasses were calibrated using the built-in one point target calibration procedure and, in case of success, the subject was asked to perform a calibration assessment. This assessment consisted in asking the subject to fixate a black cross against a green background that was displayed on a monitor at a distance of about 1.3 m. This cross remained fixed for 3 s in the same location before alternating to another one out of five positions in total.

The actual exercise consisted of repeatedly executing the grasps on the set of corresponding objects, as described in Table 2. In the first part, which we refer to as static, subjects were requested to grasp the objects without actually moving or lifting them. Prior to executing a grasp, videos in first and third person perspectives demonstrated the grasp and the three corresponding objects. The subjects were however instructed to execute the movements spontaneously, rather than trying to mimic the exact kinematics of the demonstration videos. Amputees were asked to attempt executing the movements as naturally as possible, as they would intuitively perform the grasp with the missing hand. During these videos, the subject was free to decide whether to perform or not the grasps to get confident about the exercise. Once the grasp and objects had been shown, the subject had to repeat each combination four times while seated and then another four times while standing. This change in position was intended to include variability in the limb position in the data. The duration of the movement and rest periods depends on the selected language for the vocal instructions. A grasp interval lasted approximately 5.2 s, 5.7 s, 5.9 s, and 6.0 s for English, Italian, French, and German. A rest period followed for about 4.1 s, 4.7 s, 4.7 s, and 4.7 s for English, Italian, French, and German. The exact order of the objects within each repetition was randomized to avoid learning and habituation effects. A vocal command guided the subject through the exercise, indicating which object to grasp, when to return to the rest position, and when to stand up or sit. These instructions were accompanied by a static image of the current grasp type, which was intended as an undistracting reminder of the stimulus. When finishing a grasp series, an experimenter changed the object scene when necessary before resuming with the next grasp.

The static part of the exercise was followed by a dynamic one. This second part followed the same structure as the first, but in this case the grasp had to be used to perform a functional task with an object. The motivation for this variation was again to introduce variability into the data but this time by means of a dynamic, goal-oriented movement. As can be seen in Table 3, these functional movements reflect common activities with the combination of grasp type and object, such as drinking from a can held with a medium wrap. To limit the total duration of the exercise, the ten grasps were only combined with two objects each and executed either standing or seated. This position was chosen based on how the action would usually be performed in real life, for instance a door is more frequently opened while standing.

After the exercise finished the amputated subjects underwent three more exercises and a comprehensive questionnaire to investigate the neurocognitive effects of the amputation. The data and results of those exercises and the questionnaire will be published separately.

### Post-Processing

Several processing steps were applied to the raw data acquired with the protocol described above. The objective of these steps was to sanitize the data, synchronize all modalities, and remove identifying information from the videos. In the following, we describe all procedures in detail.

#### Timestamp Correction

Due to an unfortunate implementation error, during a number of acquisitions the modalities were assigned timestamps from individual clocks. To unify all timestamps in a shared clock, the offset of all clocks was estimated and corrected with respect to the clock of the sEMG modality using statistics of their relative timing collected during trial acquisitions. Validations on the remaining unaffected acquisitions confirm that the maximum deviation of our estimate from the ground truth is less than 12 ms.

#### sEMG and Accelerometer Data

For computational efficiency, the sEMG and accelerometer streams from the Delsys Trigno device were acquired and timestamped in batches. During post-processing, individual timestamps were assigned to each sample via piecewise linear interpolation. A new piece is created if the linear model results in a deviation of more than 100 ms, which may happen if the fit is skewed due to missing or delayed data.

For the sEMG data, we furthermore filtered outliers by replacing samples that exceeded 30 standard deviations from the mean within a sliding window of 1 s with the preceding sample. The signals were subsequently filtered for power-line interference at 50 Hz (and its harmonics) using a Hampel filter, which interpolates the spectrum in processing windows only when it detects a clear peak37. Contrary to the more common notch filter, this method does not affect the spectrum if there is no interference.

#### Gaze Data

The data from the Tobii Pro glasses were acquired as individually timestamped JavaScript Object Notation (JSON) messages. During post-processing, these messages were decoded and separated based on their type. Messages that arrived out-of-order were filtered and the resulting set of messages was used to determine the skew and offset between the computer clock and the one of the Tobii Pro glasses. This routine removes the constant part of the transmission delay as much as possible, while avoiding the possibility to antedate any events. The messages that relate directly to gaze information, such as gaze points, pupil diameter and so on, were then grouped together based on their timestamps.

#### Stimulus

The text-to-speech engine that was used to give vocal instructions introduced noticeable delays in the corresponding changes of the stimulus. We measured these delays for all sentences and languages, and moved the stimulus changes forward by these amounts during post-processing. Furthermore, small refinements were made to the object column, whereas its more specific object-part counterpart was calculated based on a fixed mapping from the original stimulus information.

#### Synchronization

For the standard data records (see the following section) all modalities were resampled at the original 1926 Hz sampling rate of the sEMG stream. For real-valued signals, this was done using a linear interpolation, while for discrete signals we used a nearest-neighbor interpolation. The signals that indicate the time and index of the MP4 video were handled separately using a custom routine, since they require to identify the exact change-point where one video transitions to the next.

#### Concatenation

The static and dynamic parts of the protocol were acquired independently and therefore produced separate sets of raw acquisition files. Furthermore, our acquisition protocol and software allowed to interrupt and resume the acquisition, either at request of the subject or to handle technical problems. After applying the previous processing steps to the individual acquisition segments, they were concatenated to obtain the standard data record. During this merging, we incremented the timestamps and video counter to ensure that they are monotonically increasing. Furthermore, if part of the protocol was repeated when resuming the acquisition, we took care to insert the novel segment at exactly the right place to avoid duplicate data.

#### Relabeling

The response of the subject and therefore the sEMG activation may not be aligned perfectly with the stimulus. As a consequence, the stimulus labels around the on- or offset of a grasp movement may be incorrect, resulting in an undue reduction in recognition performance. We addressed this shortcoming by realigning the stimulus boundaries with the procedure described by Kuzborskij et al.38. In short, this method optimizes the log-likelihood of a rest-grasp-rest sequence on the whitened sEMG data within a feasible window that spans from 1 s before until 2 s after the original grasp stimulus. As opposed to the uniform prior used in the earlier method, we adopted a smoothed variant of the original stimulus label as prior. The advantage is that for trials without a clear difference in muscular activity during rest and the movement (i.e., the “evidence”), we recover the original label boundaries. Based on visual inspection of the updated movement boundaries, we assigned a certainty of $$p=0.6$$ to this prior and selected a Gaussian filter with $$\sigma =0.5\,{\rm{s}}$$ as smoothing operator. The recalculated stimulus boundaries were saved in addition to the original ones.

#### Removing Identifying Information

All videos were checked manually for identifying information of anyone other than the experimenters. The segments of video that were marked as privacy-sensitive were subsequently anonymized with a Gaussian blur. In this procedure, we took care to re-encode only the private segments and to preserve the exact number and timestamps of all frames. In addition, the audio stream was removed from all videos for privacy reasons.

## Data Records

The data that were acquired and processed with the described methodology are stored in the Harvard Dataverse repository39. For each subject, this repository contains two data files in Matlab format (http://www.mathworks.com) and a series of corresponding videos encoded with MPEG-4 AVC in an MP4 container. The dataset39 is provided with the DatasetContentCRC.sfv file, which contains a description of the dataset structure together with the Cyclic Redundancy Check (CRC) value for each file. This document can therefore be used to investigate how the dataset is structured as well as to verify the correctness of the downloaded data. The primary data file contains the concatenated sEMG data at their original sampling rate, to which all other modalities were resampled. An exhaustive listing of all the fields in these files together with a description is provided in Table 4. Further information regarding the content of the fields are described below:

• The fields (re)grasp, (re)object, and (re)objectpart contain the grasp, object, and objectpart IDs as described in Tables 2 and 3.

• The emg field typically (see the Usage Notes section) contains 12 columns: columns 1–8 refer to the signals of the electrodes forming the proximal array while columns 9–12 the signals of the electrodes forming the distal array.

• The same structure is maintained for the acceleration data in the acc field, in which groups of 3 columns are used to report the acceleration in the X, Y and Z axes for each electrode. In all the electrodes, the X axis is parallel to the forearm, the Z axis is orthogonal to the forearm surface, and the Y axis obeys the right-hand rule28.

• The gazepoint field contains the position of the gaze point relative to the video frame expressed in $$(x,y)$$ coordinates, having the origin of the coordinate system in the top left corner40.

• The fields gazepoint3D, pupilcenterleft, pupilcenterright, gazedirectionleft, and gazedirectionright are expressed in $$(x,y,z)$$ coordinates relative to the scene camera reference system, which has origin in the center of the camera, X axis pointing to the subject’s left, Y axis pointing upwards, and the Z axis obeying the right-hand rule40. The gazedirectionleft and gazedirectionright fields are unit vectors, with the respective left and right pupil centers as origin.

• The angular velocity and the acceleration of the Tobii Glasses in the X, Y, and Z axes are contained in the tobiigyr and tobiiacc fields40.

Since resampling may not always be desirable due to its impact on the the signal spectrum, we also provide an auxiliary data file with all non-sEMG modalities at their original sampling rate. Each of these includes a timestamp column, which can be used to synchronize them with each other or with the sEMG data in the primary data file. The fields and their detailed specification is shown in Table 5.

## Technical Validation

Our intended purpose for the dataset is to investigate the fusion of sEMG with gaze behavior. In this section we therefore concentrate on validating these two modalities. Some of these analyses are low-level to ensure the quality of the recorded signals, while others are meant to verify that the data can in fact be used for the motivations and objectives for which they were created.

### Gaze Data

#### Error Validation

The quality of gaze data primarily depends on the correctness of the initial calibration phase of the Tobii Pro glasses. Validating the effectiveness of this calibration consists of acquiring gaze data while the user is focused on a known target and subsequently comparing the measured gaze location with this ground truth41,42. We used the data recorded during the calibration assessment described in the Acquisition Protocol section to evaluate the effectiveness of the calibration as well as possible quality degradation. These data were typically collected at the beginning and end of an exercise. If the exercise was interrupted, the procedure was shown again before resuming it. We determined the ground truth by manually locating the cross position in pixels at intervals of 0.2 s using custom software. Since we also included calibration data for the other exercises done jointly as part the MeganePro project, a total of 498 acquisitions were processed in this manner.

The quality of eye tracking is often quantified in terms of accuracy and precision41,43. For each axis, the former measures the systematic error, that is, the mean offset between the actual and expected gaze locations. Precision, on the other hand, measures the dispersion around the gaze position and thus the random error of the gaze point. In Fig. 2 these values are visualized with respect to the location within the video frame. This separation is intentional, as the eye tracking appears to be more accurate and precise in the center of the frame, namely (−3.5 ± 19.4) px and (−1.5 ± 29.6) px on the x and y axes. Moving away from the center, the gaze results systematically shift towards the borders of the frame and its random error increases. We only visualize regions where we acquired at least 40 validation samples. Pooling all data, the overall accuracy and precision is (−0.8 ± 25.8) px and (−9.9 ± 33.6) px on the horizontal and vertical axes. At a typical manipulation distance of 0.8 m, this corresponds to a real-world precision and accuracy of approximately (−0.4 ± 11.5) mm and (−4.4 ± 14.9) mm. This is deemed sufficiently accurate considering the size of the household objects used in our experimental protocol.

To establish whether the calibration deteriorated over time, we compared the accuracy and precision collected at the beginning of an acquisition with those taken at the end. In total, we considered 210 uninterrupted acquisitions in which there was a calibration validation routine both at the beginning and the end. We found no statistically significant difference in accuracy (sign test, $$p=0.95$$ and $$p=1.0$$ in the horizontal and vertical axes) or precision (sign test, $$p=0.24$$ and $$p=0.37$$) indicating that drift does not pose an issue for the gaze data.

#### Statistical Parameters

To statistically describe a user’s gaze behavior during the exercises and validate it against related literature, we first identified fixations and saccades in our eye tracking data using the Identification Velocity Threshold (IVT) method44. To ensure that we could calculate the angular velocity of both eyes for a maximum number of samples, we linearly interpolated gaps of missing pupil data when shorter than 0.075 s45. We used a threshold of 70°/s to discriminate between fixations and saccades46. When the Tobii Pro glasses failed to produce a valid eye-gaze point, even after interpolating small gaps, the corresponding sample was marked as invalid. Excluding one subject who had strabismus, the percentage of such invalid samples ranged between (1.7 to 21.0)% and (4.3 to 30.7)% for able-bodied and amputated subjects. Sequences of events of the same type were then merged into segments identified by a time range and processed following the approach described by Komogortsev et al.46. First, to filter noise or other disturbances, fixations separated by a short saccadic period of less than 0.075 s and 0.5° amplitude are merged. Second, fixations shorter than 0.1 s are marked as invalid and are excluded from the analysis.

In the resulting sequence of gaze events, the majority of invalid data are located between two periods of saccades, namely (92.2 ± 2.7)% and (92.6 ± 3.9)% for able-bodied and amputated subjects. This indicates that the Tobii Pro glasses fail predominantly to register high velocity data. Devices with sampling frequency lower than 250 Hz have indeed been categorized as “fixation pickers”47 and often do not provide reliable results for all saccades. For this reason, in the following analysis we concentrate on fixation events.

Figure 3 shows the distribution of the duration of fixations for both types of subjects. The characteristics of these distributions, summarized in Table 6, coincide with those described in analogous studies21,48,49. For instance, the mean values are similar to the mean duration of around 0.5 s reported by Hessels et al.50. Moreover, both the median duration and the range between the 25th and 75th percentile are comparable with the results of Johansson et al.21, who report 0.286 s as median duration and (0.197 to 0.536) s as range between the same percentiles. These similarities confirm the quality of the eye tracking data and highlight that the subjects maintained a natural gaze behavior throughout the exercise.

Since one of the intended uses of these data is to investigate gaze behavior in anticipation of object manipulation, we also verified that subjects indeed looked at the object when asked to manipulate it. With the help of an automated approach to detect objects, we determined for each grasp trial whether the distance between the gaze point and the boundary of the object of interest was at least once lower than 20 px. On average, this was the case in 95.9% of the subject’s trials. Manual examination of the remaining 4.1% indicated that the fixation exceeded the distance 20 px not because of lack of subject engagement, but due to a low accuracy calibration of the Tobii Pro glasses. Regardless of this, in the vast majority of the trials the subjects visually located and fixated the object prior to its manipulation. For purely illustrative purposes, an example of gaze behavior of an able-bodied subject while grasping a door handle and a bottle is given in Fig. 4.

### Myoelectric signals

#### Spectral Analysis

To assure the soundness of the recorded sEMG, we first analyzed the spectral properties and compared these with known results from the literature. For each subject and for each channel, we calculated the power spectral density via Welch’s method with a Hann window of length 1024 (approximately 530 ms) and 50% overlap. Figure 5a shows the distribution over these densities via its median and the range between the 10th and 90th percentiles. The first observation is that nearly all of the energy of the signals is contained within (0 to 400) Hz, as is typical for sEMG51. Furthermore, there is no sign of powerline interference at 50 Hz or its harmonics, confirming the efficacy of the filtering approach detailed in the previous section.

We do however observe a rather large variability of densities among subjects and electrodes. The reason is that the spectrum and amplitude of sEMG depend on the exact position of an electrode over a muscle24. In our protocol, none of the electrodes was positioned precisely on a muscle belly, thus causing a wide variety in the spectrum. In some cases, the signal may even be almost absent (e.g., an electrode over the radial bone).

The same variability is also noticeable in Fig. 5b, which reports the distribution of the median frequency over all subjects and electrodes throughout the entire exercise. The median frequencies we find are close to the approximately (120 to 130) Hz typically reported for the flexor digitorum superficialis52,53, which is one of the muscles we primarily recorded from with our electrode positioning. Finally, we note that the distribution of the median frequency remains relatively stable over time, indicating that there are no persistent down- or upward shifts in the spectrum.

#### Grasp Classification

As a more high-level validation of the sEMG signals, we verify that these can indeed be used to discriminate the grasp a subject was performing, which is one of the anticipated applications of this dataset. We employ the standard window-based classification approach described by Englehart and Hudgins54 with a window length of 400 samples (approximately 208 ms) and 95% overlap between successive windows. As feature-classifier combinations we consider:

• a (balanced) Linear Discriminant Analysis (LDA) classifier used with the popular four time-domain features54;

• k-Nearest Neighbors (KNN) applied on RMS features55; and

• Kernel Regularized Least Squares (KRLS) with a nonlinear exponential $${\chi }^{2}$$ kernel and marginal Discrete Wavelet Transform (mDWT) features55,56.

As commonly done in the field, a within-subject classification was performed. In contrast to prior work where we employed a single train-test split55,56, the classification accuracy is defined here as the average accuracy of 4-fold cross validation. In each of these folds, one of the four repetitions per grasp-object-position combination was used as held-out test data, while the remaining three repetitions formed the training data. Similarly, any hyperparameters were optimized via nested 3-fold cross validation on the train repetitions. For all methods, the training data were downsampled with a factor of 10 for computational reasons, while the data used for hyperparameter optimization were downsampled with an additional factor of 4.

The results in Fig. 6 show a median classification accuracy between 63 and 82% for either able-bodied or amputated subjects, depending on the classification method. This is significantly higher than the approximately 50% accuracy a baseline classifier would achieve by simply predicting the most frequent rest class, confirming the discriminative power of the sEMG signals for the grasp type. Although a quantitative comparison with related work is of limited value due to discrepancies in experimental setup and protocol, the current results are a few percentage points higher than those presented by Atzori et al.55. The most likely explanation is the lower number of grasps (i.e., only 10 rather than 40), which inevitably boosts performance. For amputees, the fact that we are considering subjects with different clinical parameters from previous studies may contribute to influence the performance difference, since it has been shown that remaining forearm length, phantom limb sensation intensity, and years passed since the amputation can influence the classification outcome57.

## Usage Notes

### Relabeling

The data records come with both the original stimulus as well as a variant that has been aligned to actual sEMG activation (see the Post-Processing section). The latter variant is preferable when the stimulus is used as ground-truth of the grasp type, such as grasp recognition, since it reduces the number of incorrect labels due to response times. In other studies one may actually be interested in these response times, such as when investigating the psychophysical response to the vocal instruction. In these cases we advise users to use the original stimulus.

### Trial Repetitions

In the experimental protocol, each new grasp started with two videos in first and third person perspective per object to introduce the subject to the grasp and the objects. Although subjects were encouraged to practice the grasps during this phase, some of them did not do this and focused on the video on the computer screen. For this reason, the hand and gaze behavior are unreliable and users of the dataset are advised to remove movements where the (re)objectrepetition column has a value of −3 or −2.

### sEMG & Accelerometer Data

A problem with sEMG and accelerometer data concerned electrode number 8 (the 8th column of the emg field and the 22nd, 23rd, and 24th columns of the acc field). Unfortunately, the data from this electrode seem unreliable. Myoelectric and accelerometer data recorded by this electrode sometimes have a substantially lower amplitude than the others, indicating a probable hardware issue. We therefore recommend to carefully consider this aspect when using the data.

Accelerometer data are known to be affected by systematic errors and noise. Therefore, we applied the method described in Tedaldi et al.58 to estimate the calibration parameters for the accelerometers embedded in the Delsys Trigno electrodes as well as for the IMU of the Tobii glasses. The parameters and the original data are provided in the archive accelerometer_calibration.tgz.

#### S024

Due to the difficulties reported in the previous subsection, no myoelectric data were received from electrode number 8 during this acquisition. Therefore, the sEMG and accelerometer data for this subject were recorded from eleven electrodes instead of twelve.

#### S115 & S039

The small circumference of these participants’ residual limb and forearm prevented the placement of 8 electrodes in the proximal array. For these two subjects only, the proximal array was composed of 7 electrodes and the distal one with the usual 4 electrodes. The corresponding emg field has therefore 11 columns instead of 12 as well as the acc field, which is composed of 33 columns and not 36 as for the other subjects.

#### S108

The high amputation level of S108 prevented the placement of the second array of electrodes. Therefore, only the first array consisting of eight electrodes was placed on the residual limb of this subject.

### Gaze

It is known that various factors, such as physical characteristics of the test participant, recording environment, eye tracker features, and quality of calibration affect the gaze data quality41. The experiment was intentionally relatively unconstrained (e.g., the head was not fixed and subjects could move their torso) to encourage natural behavior. In the following cases we have identified potential problems with gaze data that may require consideration.

#### S111

A high percentage (~30%) of invalid gaze data were obtained for this subject. This is probably due to this participant’s specific eye physiology, which is known to influence the tracking performance42,59. The gaze data are included in the dataset for completeness.

#### S114

For this subject, calibration could not be performed due to strabismus. In such cases, the Tobii Pro glasses use a built-in default calibration. This allowed us to continue the experiment, but the quality of eye tracking is significantly worse40. The difficulty in tracking the subject’s eye in this particular condition is highlighted by the high proportion of invalid gaze samples (~50%). Although included in the dataset, the use of the gaze data for this subject should be carefully evaluated.

#### S115

A specific physical condition of this subject prevented a stable placement of the Tobii Pro glasses. The slippage compensation of the device may have helped to limit the consequences, as the proportion of invalid gaze samples (~10%) indicates a proper tracking of the eye. This condition should nonetheless be taken into account when analyzing the gaze and Tobii Pro glasses’ IMU data for this subject.

### Video

MPEG transport stream (MPEG-TS) videos were recorded wirelessly via the Tobii Pro glasses Application Programming Interface (API). The fields pts, tspipelineidx, and tsvideoidx of the data records serve to synchronize the data with these videos. We however release only the MP4 videos, this for two main reasons: to limit the size of the dataset and to ensure a high quality of the scene camera videos, since the MP4 videos were immune to packet loss problems.

### Communication

Being able to select among four languages allowed the subjects to choose the one they were most comfortable with and, in most cases, it corresponded to their native language. For S111 only, none of the languages available in the acquisition software were appropriate. We were however able to communicate in Italian and, in case of difficulties, communication was facilitated by a relative of the subject translating from Italian to the subject’s native language.