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Paul Berg

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2 papers
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2

EAAI Journal 2023 Journal Article

Automatic part segmentation of facial anatomies using geometric deep learning toward a computer-aided facial rehabilitation

  • Duc-Phong Nguyen
  • Paul Berg
  • Bilel Debbabi
  • Tan-Nhu Nguyen
  • Vi-Do Tran
  • Ho-Quang Nguyen
  • Stéphanie Dakpé
  • Tien-Tuan Dao

Detection, identification, and segmentation of facial landmarks and anatomies play an essential role in the automatic reconstruction of patient specific model of the human head for facial diagnosis, monitoring, and rehabilitation. The objective of the present study was to apply geometric deep learning to perform part segmentation on the human face to automatically segment facial anatomies from a 3D point set. A database of Computed Tomography images of 333 subjects was reconstructed. Labels of facial anatomies (eyes, nose, and mouth) were manually performed. Two state-of-the-art geometric deep learning models (PointNet++ and PointCNN) were implemented and evaluated. Then, the best model was applied to perform part segmentation on new Kinect-driven face data of healthy subjects and facial palsy patients. Accuracy and Intersection over Union (IoU) were used as evaluation metrics. An accuracy level of 99. 19% and an IoU of 89. 09% are obtained for the CT database using the PointNet++ model. Regarding the use of the PointCNN model, an accuracy level of 98. 43 and an IoU of 78. 33 were obtained. An accuracy range of [81. 45%–92. 09%] and [81. 05%–84. 08%] was obtained by using PointNet++ model on Kinect data for healthy subjects and facial palsy patients respectively. This study suggested that geometric deep learning can be used for automatic segmentation of facial anatomies from a 3D data set. The obtained outcomes confirmed the accuracy of PointNet++ and PointCNN architectures. As perspectives, the proposed method will be implemented into an available computer vision system for facial monitoring and rehabilitation.

ICLR Conference 2023 Conference Paper

Spherical Sliced-Wasserstein

  • Clément Bonet
  • Paul Berg
  • Nicolas Courty
  • François Septier
  • Lucas Drumetz
  • Minh-Tan Pham

Many variants of the Wasserstein distance have been introduced to reduce its original computational burden. In particular the Sliced-Wasserstein distance (SW), which leverages one-dimensional projections for which a closed-form solution of the Wasserstein distance is available, has received a lot of interest. Yet, it is restricted to data living in Euclidean spaces, while the Wasserstein distance has been studied and used recently on manifolds. We focus more specifically on the sphere, for which we define a novel SW discrepancy, which we call spherical Sliced-Wasserstein, making a first step towards defining SW discrepancies on manifolds. Our construction is notably based on closed-form solutions of the Wasserstein distance on the circle, together with a new spherical Radon transform. Along with efficient algorithms and the corresponding implementations, we illustrate its properties in several machine learning use cases where spherical representations of data are at stake: sampling on the sphere, density estimation on real eath data or hyperspherical auto-encoders.

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