圆像修复论文图像修复的变分模型及其SplitBregman算法.docVIP

圆像修复论文：图像修复的变分模型及其Split-Bregman算法 【中文摘要】数字图像修复技术是数字图像处理领域内的重要研究内容之一,是机器视觉和计算机图形学领域的研究热点之一,应用领域十分广泛,在图像处理领域有着举足轻重的地位。图像修复主要是指根据破损图像周围的信息来填补图像中丢失的信息,包括补充破损区域、修复想要得到图像的遮挡物、消除图像上的刻痕等等。目前与修复相关的两个研究方向就是结构图像修复和纹理合成,本文主要以图像处理的偏微分方程为核心,对图像修复的原理、方法和应用进行了研究和探讨。由于之前的图像修复算法效率低,计算速度慢,近年来一种新的算法Split Bregman快速算法得到了广泛的研究与应用。本文集中讨论了经典偏微分方程在图像修复方面的应用和研究,并设计讨论了它们的Split Bregman快速算法。主要工作和创新成果包括以下几个方面：第一,本文深入研究了现行的几种图像修复的数学模型和修复算法,并对这几种修复模型的优缺点进行了较为深入的分析和探讨。第二,本文将SplitBregman快速算法加入到经典图像修复模型中,观察运算速度及计算结果比较。第三,本文将Split Bregman算法运用到几种彩色图像耦合处理模型对他们的结果进行了比较分析。综上所述,本文对数字图像修复技术进行了深入的研究,取得了一些有价值的研究成果。数字图像修复仍然是一个较有潜力的研究领域,值得我们进行更深入的研究。 【英文摘要】Image inpainting is an important part of image science. Digital image inpainting is researched focus on the field of machine vision and computer graphics. Also it has a wide range of applications and has a significant place in the image processing. The objective of image inpainting is to fill in its lost part according to the surrounding information. And restoration of the current research is related to images of both repair and synthesis. In this paper, around the partial differential equations to image processing, the principle, methods and applications of image inpainting have been studied and discussed. Because of the low calculate efficiency of the image inpainting algorithm, recent years, a new algorithm named Split Bregman algorithm has been extensive research and application. This article focuses on the classical partial differential equations in image inpainting and discusses their fast algorithm, Split Bregman algorithm. The main work and innovations include the following:Firstly, the existing mathematical model of image inpainting and their algorithm were in-depth studied, and the advantages and disadvantages of these models were deep analysis and discussion. Secondly, the Split Bregman algorithm to be used in the classical image inpainting models, compare the speed of operation and the results compared. Thirdly, this algorithm was used in some colo