A Method of Image Boundary Element Processing

Abstract

The invention discloses an image boundary element processing method. The image boundary element processing method comprises the following steps of: S01, converting a multi-dimensional image from a physical space to a computing space, wherein the step S01 comprises the following steps of: S011, judging whether the multi-dimensional image has a singularity boundary or not, if so, entering the step S012, and if not, entering the step S013; S012, eliminating the singularity boundary by utilizing a smoothed particle, and entering the step S013; and S013, performing mesh generation of the multi-dimensional image, and converting into the computing space; S02, solving a divided mesh boundary by utilizing a boundary integral equation; S03, performing accelerated convergence of the mesh boundary by utilizing an extrapolation method; and S04, constructing an internal field and an external field of the mesh boundary. According to the image boundary element processing method disclosed by the invention, the physical space of the image is converted into the computing space by utilizing a smoothed particle method; the converted computing space is suitable for the extrapolation method; therefore, the computing precision is increased; and the mesh processing number is reduced.

Description

technical field [0001] The invention relates to the field of image boundary processing, in particular to an image boundary element processing method. Background technique [0002] The smooth particle method is a Lagrangian mesh-free particle method. It uses the kernel function to approximate the physical problems, and uses discrete particles to describe the macroscopic continuous distribution of microscopic fluids that are still particles, and each particle carries various properties of the fluid at its location, such as mass, density, and velocity. , energy, etc. The smooth particle method was proposed independently by Lucy (1977) and Gingold & Monaghan (1977) to deal with astrophysical problems. Later, the smooth particle method was extended to the fields of aerodynamics, incompressibility, explosion, solid mechanics, and elastic bodies. [0003] Singular boundaries often appear in images. For the processing of singular boundaries, there are currently many traditional m...

AI Technical Summary

Problems solved by technology

However, when using multi-level boundary element methods, a large amount of auxiliary calculations will be added, and extrapolation cannot be used to improve accuracy

At the same time, the matrix generated by the multi-level boundary element method has a very large condition number, which will cause new problems in matrix inversion

Moreover, in dealing with singularity problems, especially in dealing with the most difficult cracks, etc., the accuracy is not high, and it consumes a lot of machine time

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