Rendering Method Based on Anisotropic Spherical Gaussian Function

Abstract

The invention relates to the technical field of three-dimensional image processing, in particular to a rendering method based on an aeolotropy spherical Gaussian function. The rendering method includes the steps that (S11) fitting is carried out on a light source and a bidirectional reflection distribution function by means of the aeolotropy spherical Gaussian function; (S21) spherical distortion from a semivector to the incidence direction is carried out on the bidirectional reflection distribution function represented by the aeolotropy spherical Gaussian function; (S31) by means of multiplication closure of the aeolotropy spherical Gaussian function, the distorted bidirectional reflection distribution function is multiplied by the light source to obtain a distribution function; (S41) the distribution function obtained in the step (S31) is integrated to obtain the final rendering color, wherein the aeolotropy spherical Gaussian function is a novel spherical Gaussian function provided by the rendering method based on the aeolotropy spherical Gaussian function. The rendering method can remarkably improve the rendering frame rate, and therefore real-time rendering is better achieved.

Description

technical field [0001] The invention relates to the technical field of three-dimensional computer image processing, in particular to a rendering method based on an anisotropic spherical Gaussian function. Background technique [0002] The efficient and concise expression of spherical functions has always been an important part of computer graphics applications, especially rendering applications; A spherical Gaussian function is used to efficiently simulate light sources, a bidirectional reflectance distribution function, and a visibility function are used to calculate light transmission. The reason why the spherical Gaussian function is chosen is mainly because of its good properties: for example, it expresses a wide range of frequency domains, so the spherical Gaussian function can well express signals of any frequency band; it has rotation invariance; for its integral, the spherical Gaussian function between There are analytical expressions for products, convolutions, etc...

AI Technical Summary

Problems solved by technology

Under a certain precision requirement, the higher the degree of anisotropy of the real distribution function, the more spherical Gaussian functions are needed; however, since each function in the mixed spherical Gaussian function is not orthogonal to each other, two n-term mixed spherical Gaussian functions The product operation requires O(n 2 ) complexity

Therefore, when it is necessary to use the mixed spherical Gaussian function to express the real anisotropic distribution function for rendering, it is usually necessary to balance accuracy and performance, which will affect the improvement of the rendering frame rate, which is not conducive to the better realization of real-time rendering

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