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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 implicit …

Rendering Implicit Surfaces and Distance Fields: Sphere Tracing …

    https://www.scratchapixel.com/lessons/advanced-rendering/rendering-distance-fields/basic-sphere-tracer?url=advanced-rendering/rendering-distance-fields/basic-sphere-tracer
    The magic happens in the function sphereTrace() as you may have guessed. Though before we look at this function, note that the parameter scene is a list of implicit objects. All implicit shapes that our program will support are derived from the base class ImplicitShape.The important method from this base class that all derived classes need to implement is the …

Non-linear sphere tracing for rendering deformed …

    https://cs.dartmouth.edu/wjarosz/publications/seyb19nonlinear.pdf
    For SDFs, sphere tracing [Bálint and Valasek 2018; Hart 1996; Kein-ert et al. 2013; Reiner et al. 2011] is the preferred alternative to ray marching, since it provides automatic adaptive stepping and an-tialiasing. Unfortunately, it is not currently compatible with general non-linear deformations since they invalidate the SDF’s distance

Non-linear sphere tracing for rendering deformed signed …

    https://cs.dartmouth.edu/~wjarosz/publications/seyb19nonlinear.html
    We tackle the problem of rendering deformed signed distance fields (a), by phrasing sphere tracing in object space (b) as an initial value problem. Under non-linear deformation the straight deformed space ray becomes a curve, which we follow via numerical integration (c). We go to great lengths to avoid computing the inverse deformation. This enables us to easily apply …

Sphere-Tracing Signed Distance Fields with OptiX

    https://www.researchgate.net/publication/266557056_Sphere-Tracing_Signed_Distance_Fields_with_OptiX
    To represent subtle details, ray-tracing method is preferred to... | Find, read and cite all the research you need on ResearchGate ... Article. Sphere …

GitHub - sungiant/sdf: Sphere tracing signed distance …

    https://github.com/sungiant/sdf
    Sphere Tracing SDFs Given a point p we can use an SDF to quickly determine the distance between that point and the nearest surface defined by that SDF. Standard SDF query It would, however, be very useful if we could find the distance from our point p to the nearest surface constrained along a specific direction. Constrained SDF query

GitHub - jdiemke/webgl-sphere-tracing: Signed distance …

    https://github.com/jdiemke/webgl-sphere-tracing
    Signed distance field sphere tracing using WebGL and TypeScript. - GitHub - jdiemke/webgl-sphere-tracing: Signed distance field sphere tracing using WebGL and TypeScript.

Ray Marching and Signed Distance Functions - Jamie Wong

    http://jamie-wong.com/2016/07/15/ray-marching-signed-distance-functions/
    Points inside the sphere will have a distance from the origin less than the radius, points on the sphere will have distance equal to the radius, and points outside the sphere will have distances greater than the radius. So our first SDF, for a sphere centered at the origin with radius 1, looks like this:

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