Ray tracing parametric surface patches utilizing numerical techniques and ray coherence

K. Joy, M. Bhetanabhotla
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引用次数: 65

Abstract

A new algorithm for ray tracing parametric surface patches is presented. The method uses quasi-Newton iteration to solve for the ray/surface intersection and utilizes ray-to-ray coherence by using numerical information from adjoining rays as initial approximations to the quasi-Newton algorithm. Techniques based upon object space subdivision are used to insure convergence to the correct interesection point. Examples are given of the use of the algorithm in scenes containing Bézier surface patches. Results show that a significant number of ray/surface intersections on these parametric surface patches can be found using very few iterations, giving a significant computational savings.
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利用数值技术和射线相干性的射线追踪参数表面贴片
提出了一种射线追踪参数曲面贴片的新算法。该方法采用准牛顿迭代法求解射线/曲面相交,并利用相邻射线的数值信息作为准牛顿算法的初始逼近,利用射线间的相干性。采用基于对象空间细分的技术确保收敛到正确的交点。给出了该算法在含有bsamizier表面补丁的场景中的应用实例。结果表明,使用很少的迭代,可以在这些参数化表面斑块上找到大量的射线/表面交叉点,从而大大节省了计算量。
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Creating highly-interactive and graphical user interfaces by demonstration Constructive solid geometry for polyhedral objects Continuous tone representation of three-dimensional objects illuminated by sky light Ray tracing parametric surface patches utilizing numerical techniques and ray coherence A montage method: the overlaying of the computer generated images onto a background photograph
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