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Solution techniques. Majority of existing codes for calculation of electromagnetic scattering by a single sphere is based on Mie theory which is an analytical solution of Maxwell's equations in terms of infinite series. Other approximations to scattering by a single sphere include: Debye series, ray tracing ( geometrical optics ), ray tracing ...
In 3D computer graphics, ray tracing is a technique for modeling light transport for use in a wide variety of rendering algorithms for generating digital images . On a spectrum of computational cost and visual fidelity, ray tracing-based rendering techniques, such as ray casting, recursive ray tracing, distribution ray tracing, photon mapping ...
Two such algorithms build a balanced k-d tree to sort triangles in order to improve the execution time of ray tracing for three-dimensional computer graphics. These algorithms presort n triangles prior to building the k -d tree , then build the tree in O ( n log n ) {\displaystyle O(n\log n)} time in the best case.
Möller–Trumbore intersection algorithm. The Möller–Trumbore ray-triangle intersection algorithm, named after its inventors Tomas Möller and Ben Trumbore, is a fast method for calculating the intersection of a ray and a triangle in three dimensions without needing precomputation of the plane equation of the plane containing the triangle. [1]
Shooting and bouncing rays. The shooting and bouncing rays ( SBR) method in computational electromagnetics was first developed for computation of radar cross section (RCS). [1] Since then, the method has been generalized to be used also for installed antenna performance. The SBR method is an approximate method applied to high frequencies.
This algorithm is sometimes also known as the crossing number algorithm or the even–odd rule algorithm, and was known as early as 1962. The algorithm is based on a simple observation that if a point moves along a ray from infinity to the probe point and if it crosses the boundary of a polygon, possibly several times, then it alternately goes ...
A bounding volume hierarchy ( BVH) is a tree structure on a set of geometric objects. All geometric objects, which form the leaf nodes of the tree, are wrapped in bounding volumes. These nodes are then grouped as small sets and enclosed within larger bounding volumes. These, in turn, are also grouped and enclosed within other larger bounding ...
OptiX. Nvidia OptiX ( OptiX Application Acceleration Engine) is a ray tracing API that was first developed around 2009. [1] The computations are offloaded to the GPUs through either the low-level or the high-level API introduced with CUDA. CUDA is only available for Nvidia's graphics products. Nvidia OptiX is part of Nvidia GameWorks.