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Method for computing accurate mirror symmetry of three-dimensional complex model on basis of internal implication transformation

A computational method, a symmetrical technology, applied in computing, 3D modeling, image data processing, etc.

Active Publication Date: 2014-04-16
HEFEI UNIV OF TECH
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Problems solved by technology

When performing three-dimensional reconstruction of the shape of such products or physical models, it is very important to ensure the symmetry of the reconstructed model; in addition, there is currently no effective means to analyze and calculate the symmetry error of the shape of such products

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  • Method for computing accurate mirror symmetry of three-dimensional complex model on basis of internal implication transformation
  • Method for computing accurate mirror symmetry of three-dimensional complex model on basis of internal implication transformation
  • Method for computing accurate mirror symmetry of three-dimensional complex model on basis of internal implication transformation

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Embodiment Construction

[0031] A method for calculating the exact mirror symmetry of a three-dimensional complex model based on intrinsic transformation, comprising the following steps:

[0032] (1), Interactively set or calculate the rough symmetry plane of a given model;

[0033] (2), according to the rough symmetry plane obtained in step (1), transform the given model so that the rough symmetry plane coincides with a coordinate plane, and obtain the transformed model;

[0034] (3), according to the intrinsic transformation of the mirror symmetric model, calculate the exact symmetry plane of the transformed model obtained in step (2);

[0035] (4) Transform the transformed model and the exact symmetry plane obtained in step (2) again to obtain the exact symmetry plane of the original position of the model.

[0036] In step (1), the method of interactively setting or calculating the rough symmetry plane is as follows: rotate the view to a position approximately perpendicular to the theoretical symm...

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Abstract

The invention discloses a method for computing accurate mirror symmetry of a three-dimensional complex model on the basis of internal implication transformation. The method includes interactively setting or computing rough symmetry planes of the model, transforming the given model according to the rough symmetry planes to enable the rough symmetry planes to coincide with a coordinate plane, and computing accurate symmetry planes according to internal implication transformation of a mirror symmetry model; transforming the model and the accurate symmetry planes to obtain accurate symmetry planes of original positions of the model. The method has the advantages that the method is based on strict internal implication transformation relations of the mirror symmetry model, the precision can be controlled, and the method is high in generalization performance and is widely applicable to the field of engineering application.

Description

technical field [0001] The invention relates to the field of three-dimensional geometric modeling and calculation, in particular to a method for calculating the precise mirror symmetry of a three-dimensional complex model based on intrinsic transformation. Background technique [0002] Symmetry is a ubiquitous phenomenon in nature. Whether it is man-made or natural, most of its shapes have different degrees of symmetry, among which mirror symmetry is the main one. The present invention mainly aims at the artificially processed models with mirror symmetry in engineering, especially the problem of symmetry analysis and calculation in three-dimensional reconstruction or error analysis based on the data collected on these physical models. [0003] Compared with natural objects, the symmetry accuracy of man-made objects is much higher, and the accuracy requirements for symmetry analysis and calculation of such models are generally higher. Existing symmetry analysis calculation a...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50G06F19/00G06T17/00
Inventor 李维诗于连栋夏豪杰
Owner HEFEI UNIV OF TECH
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