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Fast Ray Tracing of Implicit Surfaces - Sherstyuk - 1999 - Comput…
https://onlinelibrary.wiley.com/doi/full/10.1111/1467-8659.00364#:~:text=A%20ray-tracing%20algorithm%20is%20described%20for%20rendering%20implicit,blobby%20molecules%2C%20metaballs%2C%20soft%20objects%20and%20convolution%20surfaces.
(PDF) Ray Tracing Implicit Surfaces - ResearchGate
https://www.researchgate.net/publication/2414006_Ray_Tracing_Implicit_Surfaces
In a ray tracing algorithm of implicit surfaces the smallest positive root of an appropriate equation in the ray-parameter t p is finding, where H (t p ) …
Real-time ray tracing of implicit surfaces on the GPU
https://pubmed.ncbi.nlm.nih.gov/20075486/
In this paper, we present a ray-tracing procedure to render general implicit surfaces efficiently on the GPU. Though only the fourth or lower order surfaces can be rendered using analytical roots, our adaptive marching points algorithm can ray trace arbitrary implicit surfaces without multiple roots, by sampling the ray at selected points till a root is found.
Numerical Methods for Ray Tracing Implicitly Defined Surfaces
https://www.cs.williams.edu/~morgan/cs371-f14/reading/implicit.pdf
closest to the ray origin that satisfies a primary ray’s explicit equation and the primitive’s (e.g., triangle’s, sphere’s) implicit equation. An explicit equation for a surface generates points on the surface from parameters; for a ray with origin P and direction ˆ!, it is X(t)=P +ˆ!t. An implicit equation for a surface defines
Ray tracing implicit surfaces - Pennsylvania State …
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.309.5334&rep=rep1&type=pdf
implicit surfaces with a per-pixel approach. Ray tracing the implicit model directly has several benefits as opposed to processing tessellated meshes, but also invokes new kinds of problems. The main challenge is efficiently finding the first ray-surface intersection point where the surface is not given in an explicit form. Our
Ray tracing implicit surfaces using Sturm's theorem
https://computergraphics.stackexchange.com/questions/8136/ray-tracing-implicit-surfaces-using-sturms-theorem
There are still many visible artifacts when rendering implicit surfaces with this algorithm in double precision and there will still be artifacts when rendering with even greater floating point precision. Hence, the above question is asking for different methods / algorithms to compute a Sturm sequence that don't have these numerical problems.
Ray Tracing Implicit Surfaces with Constructive Solid Geometry
http://farpeek.com/BScThesisKJM.pdf
Ray Tracing Implicit Surfaces with Constructive Solid Geometry. of repeated root isolation results In long rendenng times. 1 his report presents a generalization ot existing quadric surface schemes for the construction and navigation of oct-trees [2611291, which exploit spatial model coherency to provide a means of accelerating ray tracing. Constructive Solid Ray tracing is a …
Improvements in the Ray Tracing of Implicit Surfaces …
http://gilab.udg.edu/wp-content/uploads/thesis/JorgeFlorezPhD.pdf
When an implicit surface is ray traced, some small and thin features disappear in the final visualization. This problem is related with the use of point sampling in the intersection test. Point sampling fails because floating-point arithmetic in the computer can not represent all …
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)
Guaranteed Ray Intersections with Implicit Surfaces
https://www.cs.drexel.edu/~david/Classes/Papers/p297-kalra.pdf
Surface Figure 1:A,1 implicit surface is defined by f(~, V, z) = 0. f(x, y, z) is negative inside the surface, positive outside the surface and zero on the surface. The ray intersects the surface at Xnear and X Jar.
Sphere Tracing: A Geometric Method for the Antialiased Ray …
https://graphics.stanford.edu/courses/cs348b-20-spring-content/uploads/hart.pdf
Sphere tracing is a robust technique for ray tracing implicit surfaces. Unlike LG-surfaces or interval analysis, it does not require the ability to evaluate the derivative of the function. Instead, it requires only a bound on the magnitude of the derivative --- that the …
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