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Introduction - Real-Time Audio Simulation with Implicit Surfaces u…

    https://1library.net/article/introduction-real-audio-simulation-implicit-surfaces-sphere-tracing.y6jerwmg#:~:text=A%20method%20aimed%20to%20simplify%20ray%20tracing%20of,rendering%20commonly%20known%20as%20GPU%20%28graphics%20processing%20unit%29.
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Numerical Methods for Ray Tracing Implicitly …

    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

(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 ) …

Improvements in the Ray Tracing of Implicit Surfaces …

    http://gilab.udg.edu/wp-content/uploads/thesis/JorgeFlorezPhD.pdf
    The efficiency of the ray tracing of implicit surfaces is improved by means of the evaluation of groups of rays instead of individual ones, which permits thus saving com-putational time in the entire ray tracing process. The quality of the visualization is improved by means of the creation of an adaptive anti aliasing algorithm. Using this

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 …

Fast Ray Tracing of Arbitrary Implicit Surfaces with …

    https://www.sci.utah.edu/publications/knoll09/CGF-implicits-2009.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) wheref: 3⊆R →R.Inraytracing,weseektheintersec-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 f t(t) = f(o x+td ,o y+td ,o z+td)(3)

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) where f :Ω⊆R3 →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)

Rendering Implicit Surfaces and Distance Fields: Sphere Tracing

    https://www.scratchapixel.com/lessons/3d-basic-rendering/rendering-distance-fields
    It is hard to know exactly who and when the technique was introduced to the CG community, but in 1996, John Hart published an important paper on this topic entitled Sphere Tracing: A Geometric Method for the Antialiased Ray Tracing of Implicit Surfaces. Few people before him had already made some research on rendering implicit surfaces and distance fields (an …

Guaranteed Ray Intersections with Implicit Surfaces

    https://www.cs.drexel.edu/~david/Classes/Papers/p297-kalra.pdf
    tersections of rays with the implicit surface. 2.1 Mathematical Preliminaries: We first present some mathematical definitions and preliminaries: Definition of Implicit Surface: A general implicit surface S is defined by (See Figure 1) or, in vector notation, …

Sphere Tracing: A Geometric Method for the …

    https://graphics.stanford.edu/courses/cs348b-20-spring-content/uploads/hart.pdf
    to the better treatment of antialiasing cone tracing provides, implicit surfaces are often defined by very expensive functions, and reducing the number of function evaluations by tracing a single cone per pixel, instead of many rays per pixel, makes antialiasing more efficient.

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