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  2. Ray transfer matrix analysis - Wikipedia

    en.wikipedia.org/wiki/Ray_transfer_matrix_analysis

    The ray tracing technique is based on two reference planes, called the input and output planes, each perpendicular to the optical axis of the system. At any point along the optical train an optical axis is defined corresponding to a central ray; that central ray is propagated to define the optical axis further in the optical train which need ...

  3. Ray tracing (graphics) - Wikipedia

    en.wikipedia.org/wiki/Ray_tracing_(graphics)

    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 ...

  4. Monte Carlo method - Wikipedia

    en.wikipedia.org/wiki/Monte_Carlo_method

    The approximation of a normal distribution with a Monte Carlo method. Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be deterministic in principle.

  5. Point in polygon - Wikipedia

    en.wikipedia.org/wiki/Point_in_polygon

    Point in polygon. In computational geometry, the point-in-polygon ( PIP) problem asks whether a given point in the plane lies inside, outside, or on the boundary of a polygon. It is a special case of point location problems and finds applications in areas that deal with processing geometrical data, such as computer graphics, computer vision ...

  6. Line–sphere intersection - Wikipedia

    en.wikipedia.org/wiki/Line–sphere_intersection

    In analytic geometry, a line and a sphere can intersect in three ways: Intersection in two points. Methods for distinguishing these cases, and determining the coordinates for the points in the latter cases, are useful in a number of circumstances. For example, it is a common calculation to perform during ray tracing.

  7. Constructive solid geometry - Wikipedia

    en.wikipedia.org/wiki/Constructive_solid_geometry

    Constructive solid geometry ( CSG; formerly called computational binary solid geometry) is a technique used in solid modeling. Constructive solid geometry allows a modeler to create a complex surface or object by using Boolean operators to combine simpler objects, [1] potentially generating visually complex objects by combining a few primitive ...

  8. Ray marching - Wikipedia

    en.wikipedia.org/wiki/Ray_marching

    Ray marching. Ray marching is a class of rendering methods for 3D computer graphics where rays are traversed iteratively, effectively dividing each ray into smaller ray segments, sampling some function at each step. For example, in volume ray casting the function would access data points from a 3D scan. In Sphere tracing, the function estimates ...

  9. Ray tracing (physics) - Wikipedia

    en.wikipedia.org/wiki/Ray_tracing_(physics)

    Ray tracing (physics) In physics, ray tracing is a method for calculating the path of waves or particles through a system with regions of varying propagation velocity, absorption characteristics, and reflecting surfaces. Under these circumstances, wavefronts may bend, change direction, or reflect off surfaces, complicating analysis.

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