Offset modeling method of 3D mesh surface with variable thickness based on laplacian differential domain deformation

Abstract

The invention discloses a three-dimensional grid surface variable thickness offset modeling method based on Laplacian differential domain deformation, which comprises the following steps: constructing an initial offset surface based on significant feature information and a Poisson surface reconstruction method; using finite element calculation to analyze the offset According to the stress of the shell, the wall thickness adjustment space is divided according to the stress level of each unit body; the wall thickness is optimized by using the Laplacian differential domain deformation method. The present invention extracts the Morse salient feature points of the original surface, constructs a biased point cloud, and then reconstructs the point cloud into a triangular mesh surface based on the Poisson method, which can maintain the basic shape and detail features of the original model; adopts the Laplacian differential domain deformation method Thickening the high stress area and thinning the low stress area can improve the stress concentration and improve the bearing capacity of the structure.

Description

technical field [0001] The invention belongs to the technical field of additive manufacturing, and in particular relates to a three-dimensional mesh curved surface variable thickness offset modeling method based on Laplacian differential domain deformation. Background technique [0002] Today, the research boom of digital and intelligent manufacturing is developing rapidly all over the world. Digital design is represented by 3D model scanning and modeling, and intelligent manufacturing is represented by additive manufacturing. The combination of the two enriches the methods of capturing and presenting real life, and realizes the design and manufacture of complex 3D models in the real world. However, in order to custom process the 3D scanned surface by 3D printing equipment, it must be converted into a solid model, such as a closed surface model, or a shell model with thickness. In the face of highly complex real scenes, how to efficiently and accurately materialize the 3D s...

AI Technical Summary

Problems solved by technology

The disadvantage of direct offset is that when the offset distance is large, the triangular facets are easy to self-intersect, which will affect the order of the slice outline, which will lead to quality problems in physical processing

Although implicit offset can avoid self-intersection, it also has disadvantages when the offset distance is large. The generated offset surface tends to become too blunt or sharp in the part with large curvature changes, and has obvious details compared with the original surface. feature difference

These two methods are mainly aimed at the restoration of the original surface shape by the offset surface, but they do not consider the real force situation, and their mechanical properties cannot be guaranteed.

Under actual working conditions, due to the influence of external forces, its own structure and other factors, the stress distribution of parts is usually uneven, and stress concentration and even fracture accidents may occur

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