Distance Computation

Distance computation, the process of determining the separation between data points, is crucial across numerous scientific fields and applications. Current research focuses on improving the speed and accuracy of distance calculations, particularly in complex spaces like Riemannian manifolds, using techniques such as Eikonal solvers, fast marching methods, and graph-based approaches like HNSW, often incorporating GPU acceleration and neural network approximations for efficiency. These advancements are driving progress in areas like robotics (real-time path planning and collision avoidance), machine learning (nearest neighbor search), and geometric modeling (surface reconstruction), where efficient distance computation is essential for performance and accuracy.