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Fast robust non-sequential optical ray-tracing with implicit algebraic ...
https://www.spiedigitallibrary.org/conference-proceedings-of-spie/9578/1/Fast-robust-non-sequential-optical-ray-tracing-with-implicit-algebraic/10.1117/12.2185078.full#:~:text=The%20fastest%2C%20most%20robust%2C%20general%20technique%20for%20non-sequentially,geometric%20modeling%20with%20algebraic%20%28i.e.%20polynomial%29%20implicit%20surfaces.
Fast Ray Tracing of Implicit Surfaces - Sherstyuk - 1999
https://onlinelibrary.wiley.com/doi/full/10.1111/1467-8659.00364
A ray-tracing algorithm is described for rendering implicit surfaces formed with C 1 -continuous bounded functions f ( x, y, z ). This class of functions includes such popular implicit models as blobby molecules, metaballs, soft objects and convolution surfaces. The algorithm employs analytical methods only, which makes it fast, robust, and numerically stable.
Fast Ray Tracing of Arbitrary Implicit Surfaces with …
https://www.sci.utah.edu/publications/knoll09/CGF-implicits-2009.pdf
A. Knoll et al./Fast Ray Tracing of Arbitrary Implicit Surfaces with Interval and Affine Arithmetic 27 preserves the inclusion property (Section 5.3); and a stack-less interval bisection algorithm for ray-tracing implicits on the GPU (Section 5.5). Together, these enable real-time ren-dering of complex implicit functions. Shader metaprogram-
Fast Ray Tracing of Arbitrary Implicit Surfaces with …
https://www.sci.utah.edu/~knolla/cgrtia.pdf
3.1. Ray Tracing Implicit Surfaces A surface S in implicit form in 3D is the set of solutions of an equation f(x,y,z)=0 (1) 3 →R. In ray tracing, we seek the intersec-tion of a ray ~p(t)=~o+td~ (2) with this surface S. By simple substitution of these position coordinates, we derive a unidimensional expression ft(t)= f(ox +tdx,oy +tdy,oz +tdz) (3)
Fast Ray Tracing of Implicit Surfaces - DeepDyve
https://www.deepdyve.com/lp/wiley/fast-ray-tracing-of-implicit-surfaces-aZpP92uxBq
A ray‐tracing algorithm is described for rendering implicit surfaces formed with C1‐continuous bounded functions f(x, y, z). This class of functions includes such popular implicit models as blobby molecules, metaballs, soft objects and convolution surfaces.
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