2020/03/18 by Karim Makki, Amine Bohi, Makki, Karim +5
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #Analysis of PDEs (math.AP) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Medical Image Segmentation Techniques #Morphological variations and asymmetry
paper · pdf · doi:10.48550/arxiv.2003.08332
openalex publication_date 2020/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we propose a method for characterizing 3D shapes from point\nclouds and we show a direct application on a study of organ temporal\ndeformations. As an example, we characterize the behavior of a bladder during a\nforced respiratory motion with a reduced number of 3D surface points: first, a\nset of equidistant points representing the vertices of quadrilateral mesh for\nthe surface in the first time frame are tracked throughout a long dynamic MRI\nsequence using a Large Deformation Diffeomorphic Metric Mapping (LDDMM)\nframework. Second, a novel geometric feature which is invariant to scaling and\nrotation is proposed for characterizing the temporal organ deformations by\nemploying an Eulerian Partial Differential Equations (PDEs) methodology. We\ndemonstrate the robustness of our feature on both synthetic 3D shapes and\nrealistic dynamic MRI data portraying the bladder deformation during forced\nrespiratory motions. Promising results are obtained, showing that the proposed\nfeature may be useful for several computer vision applications such as medical\nimaging, aerodynamics and robotics.\n