An Isogeometric Analysis Method Based on Geometric Reconstruction Model
An isogeometric analysis and geometric model technology, applied in the field of three-dimensional model reconstruction, can solve the problem that isogeometric analysis cannot be directly applied to engineering models, and achieve the effect of solving technical bottlenecks
Active Publication Date: 2020-12-15
SOUTH CHINA UNIV OF TECH
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Problems solved by technology
In practical applications, a complex analysis model cannot be represented by a spline model in the form of a complete tensor product, which makes isogeometric analysis cannot be directly applied to engineering models with complex topological structures
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[0034] In this embodiment, an isogeometric analysis method based on a geometric reconstruction model is provided, including steps:
[0035] S1. Divide the boundary of the CAD model into triangular patches, generate a closed embedded domain based on the triangular patch boundary, and divide the embedded domain into regular subdomains, i.e. units; for point clouds, the embedded domain can be established based on points. The regular units are cuboids with the same size.
[0036] Such as figure 1 Shown is a schematic diagram of obtaining the discrete boundary representation of the design model and the point cloud model. Specifically, the embedded domain is constructed according to the computer-aided design CAD model or the point cloud, and the embedded domain is divided into regular subdomains, that is, units.
[0037] S2, according to the positional relationship between the patch boundary / point and the unit, the unit is divided into two categories: the unit with the patch bounda...
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The invention discloses an isogeometric analysis method based on a geometric reconstruction model, comprising the steps of: dividing the boundary of a CAD model into triangular patches or directly according to point cloud data, generating a closed regular embedding domain, and dividing the embedding domain into A regular subdomain; according to the positional relationship between the triangle patch boundary / point and the unit, the unit is divided into a clipping unit and a non-clipping unit; calculate the minimum directed distance from each vertex of the clipping unit to the triangle patch near the clipping unit; use the Divide the non-clipping unit into real and virtual units by the directional distance; take the minimum directional distance as the level set function value, and use the moving tetrahedron algorithm to reconstruct a displayed geometric model based on the rule embedding domain; after obtaining the level set function value, calculate The level set function value of the Gaussian points within the cell. The present invention can be directly used to analyze complex models with arbitrary geometric shapes, and can also be used to analyze point cloud models from reverse engineering and voxel models from image data.
Description
technical field [0001] The invention relates to the technical field of three-dimensional model reconstruction, in particular to an isogeometric analysis method based on a geometric reconstruction model. Background technique [0002] The isogeometric analysis method was proposed by Hughes, which uses the same basis function for geometric models and computer models to complete computer-aided design and engineering analysis, and has become an efficient digital analysis method. Because it uses the same basis functions as CAD, isogeometric analysis is an efficient method for building CAD models and engineering analysis. And the isogeometric analysis method has the advantages of low computer performance consumption and high precision, so isogeometric analysis is widely used in various models and engineering analysis. However, CAD's boundary representation and tensor product curve-surface structure make isogeometric analysis of 3D complex geometric models very difficult. The most...
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IPC IPC(8): G06F30/20G06T17/20
CPCG06F30/20G06T17/20G06F30/10G06T17/00G06T7/12G06T7/60G06T2207/10028G06T2210/21G06T2210/56
Inventor 王英俊李璟慧李振聪张建城王楠
Owner SOUTH CHINA UNIV OF TECH