Point to Plane Distance

Point-to-plane distance, a measure of the shortest distance between a point and a plane, is central to various geometric problems, particularly in 3D shape analysis and registration. Current research focuses on improving the robustness and efficiency of algorithms using this distance metric, including developing symmetrized versions for non-rigid registration and incorporating it into deep learning architectures for tasks like multi-view stereo reconstruction and point cloud registration. These advancements are impacting fields such as medical image analysis, robotics, and computer vision by enabling more accurate and efficient processing of 3D data.