Web14 de out. de 2016 · In this paper, we present a novel geometric method for efficiently and robustly computing intersections between a ray and a triangular Bézier patch defined over a triangular domain, called the hybrid clipping (HC) algorithm. If the ray pierces the patch only once, we locate the parametric value of the intersection to a smaller triangular domain, … WebAbstract. This paper presents a new approach for ray tracing parametric surfaces. Instead of performing the computations in object space, the intersection search is more efficiently …
Efficient ray tracing for Bezier and B-spline surfaces
Web1 de jul. de 1993 · When using parametric surfaces, the curve-surface intersection is solved directly, usually by a numerical method. There are plenty of algorithms for ray … Webwise polynomials, ray tracing, Bézier clipping, Bernstein– Bézier patches, Chebyshev boxing 1. Introduction Piecewise polynomial surfaces, or parametric free–form surfaces, have proven useful for representing objects in computer aided design and computer graphics (for an intro-duction, see 8). In general, we have to distinguish two types ... flipped analysis
Efficient Ray Tracing of Parametric Surfaces for Advanced Effects
Web1 de nov. de 2013 · Ray and parametric surface intersection Similar to the ray and curve intersection, the ray and parametric surface intersection can be solved by using the four methods: Newton–Raphson, Halley, the first and the second order methods. Web1 de abr. de 2013 · Ray-tracing method for creeping waves on arbitrarily shaped nonuniform rational B-splines surfaces Ray-tracing method for creeping waves on arbitrarily shaped nonuniform rational B-splines surfaces J Opt Soc Am A Opt Image Sci Vis. 2013 Apr 1;30 (4):663-70. doi: 10.1364/JOSAA.30.000663. Authors WebThe choice of cell size determines the discretization of the laser heat flux as well as the number of rays being generated. As depicted in Fig. 1 (a), the incident ray r i,j from the laser undergoes multiple reflections in the vapor depression zone and upon every interaction of the ray with the molten metal, the energy of the ray is reduced. The surface normal … flipped and vintage