3D Geometric
3D geometric processing focuses on efficiently and accurately manipulating and analyzing three-dimensional shapes represented as point clouds or meshes. Current research emphasizes improving the robustness and accuracy of fundamental tasks like normal estimation and Laplacian operator calculation, often leveraging graph neural networks and energy-based models to handle noisy or incomplete data. These advancements are crucial for applications ranging from autonomous navigation (requiring precise visibility calculations) to medical imaging (facilitated by automated segmentation tools), improving the speed and accuracy of various 3D processing pipelines. The development of efficient algorithms, particularly those leveraging GPU acceleration, is a key area of ongoing development.