Method for compressing matrixes through dual quaternions

A technology of compressing matrices and quaternions, which is applied in the computer field, can solve the problems of small application range, complicated calculation process, and large memory occupation, and achieve the effect of wide application range, simple calculation process, and small memory occupation

Inactive Publication Date: 2014-10-08
WUXI FANTIAN INFORMATION TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] In the process of realizing the present invention, the inventor found that there are at least defects in the prior art such as complicated calculation process, large memory occupation and small application range.

Method used

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  • Method for compressing matrixes through dual quaternions
  • Method for compressing matrixes through dual quaternions
  • Method for compressing matrixes through dual quaternions

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Embodiment Construction

[0025] The preferred embodiments of the present invention will be described below in conjunction with the accompanying drawings. It should be understood that the preferred embodiments described here are only used to illustrate and explain the present invention, and are not intended to limit the present invention.

[0026] According to an embodiment of the present invention, such as figure 1 As shown, a method of using double quaternion compression matrix is ​​provided, specifically, a method involving quaternion compression for matrix reduction calculation animation transformation.

[0027] In the technical scheme of the present invention, both the quaternion and the matrix can simulate the realization of animation, and the quaternion has a scalar and a vector to form a complex quaternion, which has dual characteristics of real numbers and complex numbers. According to the characteristics of the quaternion itself, its advantages are that there are many ways to represent the ro...

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Abstract

The invention discloses a method for compressing matrixes through dual quaternions. The method mainly includes the steps that a CPU calculates the matrixes to be transformed, namely calculates vertex data information to be processed and decomposes each matrix into two quaternions after obtaining a matrix list; the solved quaternions are transmitted to a GPU, and new vertex data information (namely new positions of vertexes) are obtained through rotation, translation and shrinkage transformation. By the utilization of the method for compressing the matrixes through the dual quaternions, the defects that in the prior art, the calculation process is complex, occupied internal storage is large and the application range is narrow are overcome, and the method has the advantages that the calculation process is concise, occupied internal storage is small and the application range is wide.

Description

technical field [0001] The invention relates to the field of computer technology, in particular to a method for compressing a matrix using double quaternions. Background technique [0002] In 1843, the concept of quaternion was proposed by HAMILTON (Hamilton, W.R). The theory he established was to study the method of using complex numbers in a two-dimensional plane from the vector of three-dimensional space. Currently, quaternion is applied to In many ways, this is determined by its own characteristics. Quaternion can be expressed as a rotation or as a transformation; its advantages: high linearity, less calculation time, small calculation error, etc., and the diversity of expression methods are constantly being used in industries, such as: robots Technology, mechanics of multibody systems, artificial satellites, etc. [0003] Although quaternions are used in various aspects, there are many special effect algorithms of their own, so the realization of multiple effects can ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M7/30
Inventor 张翼
Owner WUXI FANTIAN INFORMATION TECH
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