GPU Collision Detection in Conformal Geometric Space

We derive a conformal algebra treatment unifying all types of collisions among points, vectors, areas (defined by bivectors and trivectors) and 3D solid objects (defined by trivectors and quadvectors), based in a reformulation of collision queries from R3 to conformal R4,1 space. The algebraic formulation in this 5D space is then implemented in GPU to allow faster parallel computation queries. Results show expected orders of magnitude improvements computing collisions among known mesh models, allowing interactive rates without using optimizations and bounding volume hierarchies.
V Ibero-American Symposium in Computer Graphics
Modeling and Simulation
153
156
Eduardo Roa, Víctor Theoktisto, Marta Fairén, and Isabel Navazo
Categories and Subject Descriptors (according to ACM CCS): I.3.1 [Computer Graphics]: Hardware Architecture-Graphics processors, parallel processing, I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Boundary representations, Collision detection, I.1.2 [Computer Graphics]: Algorithms-Algebraic algorithms