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Item Parallel Collision Detection Oriented to Distributed Memory Architectures for High-Resolution Meshes(The Eurographics Association, 2021) Novalbos, Marcos; Sánchez, Alberto; Silva, F. and Gutierrez, D. and Rodríguez, J. and Figueiredo, M.Higher resolution meshes should be used in graphics applications to make them as realistic as they can. However, they imply a high computational. Several approaches have been built to solve collision detection, although most of them do not take into account this feature. This paper presents a scalable parallel algorithm for collision detection designed for working with high resolution meshes. The algorithm is based on distributed memory architectures taking advantage of their benefits and overcoming their drawbacks.Item GPU Collision Detection in Conformal Geometric Space(The Eurographics Association, 2021) Roa, Eduardo; Theoktisto, Víctor; Fairén, Marta; Navazo, Isabel; Silva, F. and Gutierrez, D. and Rodríguez, J. and Figueiredo, M.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.Item Inexpensive 3D Stereo for Two Users Using a Single Display(The Eurographics Association, 2021) Re, Armando de la; Martorell, Eduardo; Camahort, Emilio; Abad, Francisco; Silva, F. and Gutierrez, D. and Rodríguez, J. and Figueiredo, M.Multiuser computer systems allow several users to collaborate on the same task. Medium sized displays, like workbenches or tabletops provide a shared view of the task and a set of input devices to interface with the system. Some of the existing installations also provide 3D stereoscopic viewing, often also shared by all the participants and therefore incorrect for all of them but one. In these cases a different stereoscopic view for each user is desirable. We implemented two hardware configurations that support independent stereo viewing for two users sharing a common display using a 120Hz monitor and a 120Hz projector. Our prototypes use off-the-shelf parts to create a functional, responsive and inexpensive two-user 3D stereo display system. We also apply our systems to a competitive game, where each user has a private stereoscopic view of the game table, and a two-user multimedia player, where each user can watch and hear a different video on the same display.