Heterogeneous material entity modeling method based on three-dimensional T spline

Abstract

The invention discloses a heterogeneous material entity modeling method based on a three-dimensional T spline, and the method comprises the steps: inputting a heterogeneous material tetrahedral grid,taking geometric coordinates and material information at the vertex of each grid as data points, and carrying out the parameterization of the data points to a given cube parameter domain; expressing the heterogeneous material entity as a geometric three-dimensional T spline and a material three-dimensional T spline, and initializing an initial three-dimensional T grid; according to the current geometric three-dimensional T spline or the material three-dimensional T spline, defining two corresponding energy functions to calculate an error between the current three-dimensional T spline and the tetrahedral mesh data point; secondly, dynamically optimizing corresponding control points by minimizing an energy functional until the difference value of two optimization results tends to zero, at the moment, if the fitting error does not meet the precision requirement, adjusting a three-dimensional T grid by inserting nodes through self-adaptive grid division based on an octree structure, and continuing the step of iteratively optimizing the control points; and if the fitting error meets the precision requirement, generating a required three-dimensional T spline fitting result.

Description

technical field [0001] The invention relates to the field of solid model reconstruction in CAD (Computer Aided Design), in particular to a T-spline solid-based heterogeneous material solid modeling method. Background technique [0002] The heterogeneous material model is composed of one or more materials, and can be divided into multi-material model, functionally graded material model, microelectromechanical model or porous model according to the change structure of its material components. In the fields of mechanics, biomedicine, and optics, the modeling methods of heterogeneous material models have attracted the attention and research of many scholars. Different from the traditional CAD modeling method, the modeling method of the heterogeneous material model not only needs to accurately express the geometric structure and external shape of the model, but also pays more attention to the accurate expression of the distribution of its internal material components. [0003] B...

AI Technical Summary

Problems solved by technology

[0005] In order to solve the problems existing in the existing model reconstruction technology in the solid modeling of heterogeneous materials, and obtain the geometric structure and material distribution information at the same time, the present invention provides a 3D T-spline based solid modeling method for heterogeneous materials

Images