GPU Collision Detection in Conformal Geometric Space
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2021Pay-Per-View via TIB Hannover:
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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.
BibTeX
@inproceedings {10.2312:pt.20111143,
booktitle = {V Ibero-American Symposium in Computer Graphics},
editor = {Silva, F. and Gutierrez, D. and Rodríguez, J. and Figueiredo, M.},
title = {{GPU Collision Detection in Conformal Geometric Space}},
author = {Roa, Eduardo and Theoktisto, Víctor and Fairén, Marta and Navazo, Isabel},
year = {2021},
publisher = {The Eurographics Association},
ISBN = {978-3-03868-152-6},
DOI = {10.2312/pt.20111143}
}
booktitle = {V Ibero-American Symposium in Computer Graphics},
editor = {Silva, F. and Gutierrez, D. and Rodríguez, J. and Figueiredo, M.},
title = {{GPU Collision Detection in Conformal Geometric Space}},
author = {Roa, Eduardo and Theoktisto, Víctor and Fairén, Marta and Navazo, Isabel},
year = {2021},
publisher = {The Eurographics Association},
ISBN = {978-3-03868-152-6},
DOI = {10.2312/pt.20111143}
}