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Ray tracing of surfaces of revolution using cone and revolute quadric subdivision

Authors Lam, Gibson
Issue Date 2002
Summary A new algorithm for ray tracing surfaces of revolution is presented. The objective is to improve the computation cost and data structure during the intersection determination between a ray and a surface of revolution. As a preprocessing step, a surface of revolution is subdivided into a series of simple primitives. We experimented our method with two subdivision schemes. In the first subdivision scheme, a surface of revolution is approximated by bounded cones. The offset curve of a surface of revolution is subdivided into linear segments. A series of bounded cones is produced by revolving these linear segments around the axis of rotation. The second subdivision scheme uses revolute quadric surfaces to reconstruct a surface of revolution. The offset curve is approximated by connected conic sections. These conic sections are converted to a series of coaxial revolute quadric surfaces by revolving the conic sections around the axis of rotation. After a surface of revolution is subdivided into bounded cones or revolute quadric surfaces, a binary bounding volume tree structure is built and used for finding the intersection between a ray and the surface of revolution. Calculating the intersection of a ray and a surface of revolution is then reduced to a simple tree searching routine with the data structure. Further reduction of the processing time can be achieved by using range searching and adaptive bounding volumes for the surfaces.
Note Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2002
Language English
Format Thesis
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