Research On Image Denoising And Edge Detection Algorithms Based On SPH

In the field of numerical analysis,the mainstream method is the finite element method,finite difference method and other meshless methods.After years of development,these methods have developed a mature theoretical foundation and are widely used in various engineering fields.In the field of digital image processing,the numerical analysis method based on grid is also a traditional and mainstream computing method.Image denoising and edge detection are indispensable links in digital image processing.The current image denoising and edge detection algorithms are almost based on grid numerical analysis method,which will directly affect the quality of image processing.With the rapid development of meshless numerical analysis methods,some researchers have tried to invent corresponding meshless numerical analysis methods,among which the Smoothed particle hydrodynamics(SPH)method is the most famous.With more and more researchers' research on SPH method,the application field of this method has expanded from the original boundary free astrophysics field to the field of fluid mechanics,solid mechanics,heat conduction and other engineering fields more related to real life.Its active research has fully reflected the meshless advantage of SPH method.At the same time,this method has a broad application prospect in actual industrial production,but it has not been paid more attention and studied in the field of digital image processing.This paper firstly describes the development and application of meshless method in numerical analysis,and then introduces meshless method,which is expected to supplement the numerical analysis method in the field of digital image processing.On this basis,introduced the grid method to developing a mature SPH algorithm and a series of improved algorithm,and according to the SPH model to analyze the heat transfer model of image denoising algorithm in the classical anisotropic diffusion model,put forward a kind of image denoising algorithm based on SPH,and compared with classical algorithms for image denoising performance index,so as to verify the SPH method is used in image processing,image denoising of practical and feasible;At the same time,according to the main idea of SPH method,image pixels are regarded as particles,and the dynamic model between SPH particles is established to simulate the motion of pixel particles.According to the motion results,image edges are fitted,and an image edge detection algorithm based on SPH is proposed.The main work of this paper is as follows:(1)An image denoising algorithm based on SPH is proposed.By establishing suitable for SPH model in the field of image processing and analysis of heat conduction equation based on SPH model,using the equations of classical anisotropic diffusion model of heat transfer calculation was improved,with inherent advantages of meshless method to improve precision and the denoising performance of denoising model,and compared with classical experimental comparison of anisotropic diffusion denoising algorithm.(2)An image edge detection algorithm based on SPH is proposed.By combining the meshless idea of SPH method with the universal gravitation dynamic model,every pixel in the image is regarded as an independent particle,and each particle is endowed with corresponding attributes.The motion of the pixel particles is modeled,and the image edges can be effectively detected according to the final motion results of the pixel particles.(3)Design and develop an algorithm research and experiment platform,which is mainly used for the image processing algorithm in the field of robot vision,and can realize the simulation and optimization of SPH image algorithm.