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Ray tracing implicit surfaces for interactive visualization | Guide …
https://dl.acm.org/doi/book/10.5555/1714319
Ray tracing implicit surfaces for interactive visualization
https://www.semanticscholar.org/paper/Ray-tracing-implicit-surfaces-for-interactive-Knoll/2b009d0182b750c3722805f2191ded8684033ffe
This dissertation presents several advancements in ray tracing implicit surfaces and its applications, namely single-ray and coherent multiresolution methods for isosurface ray tracing of octree-compressed large structured data, a coherent method for isOSurface rendering of tetrahedral meshes, and algorithms for rendering arbitrary implicit forms robustly using interval …
Ray tracing implicit surfaces for interactive visualization
https://www.semanticscholar.org/paper/Ray-tracing-implicit-surfaces-for-interactive-Knoll/2b009d0182b750c3722805f2191ded8684033ffe/figure/2
Figure 3.2: Retrieving a cell from a neighborhood of voxels. Given an octree interior node composed of eight voxels, we seek to intersect a leaf node consisting of a single scalar value. We perform neighbor-finding on the octree structure to retrieve the forward-neighboring voxels. This yields a cell of 8 voxels, which we then use as the intersection primitive from which we …
(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 …
Interactive Ray Tracing of Arbitrary Implicit Functions
https://www.sci.utah.edu/publications/SCITechReports/UUSCI-2007-002.pdf
Scientific Computing and Imaging Institute University of Utah Salt Lake City, UT 84112 USA February 12, 2007 Abstract: We present a practical and efficient algorithm for interactively ray tracing arbitrary implicit surfaces. We use interval arithmetic both for reliable numerical computation and guaranteed detection of topological features.
Interactive modeling of implicit surfaces using a direct …
https://www.sciencedirect.com/science/article/pii/S0097849311000495
Implicit surfaces are amenable to ray tracing, but it is difficult to find intersections of rays with complex surfaces analytically. Thus, ray marching is often used to render implicit surfaces directly, where possible intersections are determined by marching along a ray in small steps until a surface is hit.
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
Interactive Modeling of Implicit Surfaces using a Direct …
https://cg.ivd.kit.edu/publications/p2011/IntModelingSDF/IntModelingSDF.pdf
Implicit surfaces are amenable to ray tracing, but it is di cult to find intersections of rays with complex surfaces analytically. Thus, ray marching is often used to render implicit surfaces directly, where possible in- tersections are determined by marching along …
Interactive Ray Tracing of Arbitrary Implicit Functions
https://www.sci.utah.edu/~wald/Publications/2007/ImplicitsTR/download/rtia-tr.pdf
We present a practical and efficient algorithm for interactively ray tracing arbitrary implicit surfaces. We use interval arithmetic both for reliable numerical computation and guaranteed detection of topologicalfeatures. Inconjunctionwithraytracing,thisallowsfor rendering literally any implicit surface simply from its definition.
Iterative Methods for Visualization of Implicit Surfaces On GPU
https://link.springer.com/chapter/10.1007/978-3-540-76858-6_58
The ray-casting of implicit surfaces on GPU has been explored in the last few years. However, until recently, they were restricted to second degree (quadrics). We present an iterative solution to ray cast cubics and quartics on GPU. Our solution targets efficient implementation, obtaining interactive rendering for thousands of surfaces per frame.
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