Internal Pore Design Method of Pseudo-Periodic Minimal Surface Based on Tetrahedral Mesh

Abstract

The invention provides an internal pore design method of a simulation periodic minimum surface based on a tetrahedral mesh. The method comprises the steps of (1) extracting an image, (2) generating a tetrahedral mesh, (3) carrying slicing processing, (4) selecting a layer of slicing plane, (5) obtaining scanning lines in particular directions, (6) finding the tetrahedrons T from all scanning line starting points to end points, (7) calculating the intersection starting points A and the intersection end points B of the tetrahedrons T which intersect with each scanning line, (8) establishing a four-variable implicit function by using the four vertices of the tetrahedrons T, (9) comparing a sampling point function value and a set value C, and skipping if the sampling point function value is larger then the set value C, otherwise going to a step (10), (10) carrying a sampling point function value into a 3D printing path, (11) judging whether the processing of the slicing plane is completed or not, outputting the 3D printing path if so, otherwise selecting another slicing plane, and going to the step (5). According to the method, the deficiency of the existing triply periodic minimum surface technology is made up.

Description

technical field [0001] The invention relates to the technical field of biomaterials, in particular to an internal pore design method based on a tetrahedral grid imitating period minimal curved surface. Background technique [0002] As an emerging medical technology, biomedical tissue engineering has gradually moved from the laboratory to the actual medical application. The basic principle is to use a 3D scaffold with good biocompatibility and reasonable structure to cultivate normal human tissue cells outside the human body, and then implant the cultured cells and scaffold complex into human tissues or organs. The damaged part is naturally fused with the body's own tissue cells in the body to achieve the purpose of repairing the wound. [0003] An important step in biomedical tissue engineering is the design and fabrication of 3D scaffolds. Such scaffolds usually require complex and well-connected internal pore structures for cells to grow and form functional tissues withi...

AI Technical Summary

Problems solved by technology

This internal pore generation technology is based on a single cuboid definition domain. The design is simple and flexible, but there are several obvious shortcomings: 1. When dealing with parts with complex surface shapes, we usually need to perform three-dimensional solid division on the parts

But the intersection of a plane and a general hexahedron is far more complicated than the intersection of a plane and a tetrahedron

This complexity not only reduces the reliability of the algorithm, but also greatly increases the computational cost

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