图像修复技术

Inpainting algorithm for Jacquared Image Based on Phase-Field Model

Zhilin Feng1, Jianwei Yin2, Jianan Zhou3

1. College of Zhijiang, Zhejiang University of Technology, Hangzhou, 310024, China

2. State Key Laboratory of CAD & CG, Zhejiang University, Hangzhou, 310027, China

3. Department of Information and Technology, Zhejiang Vocational College of Commerce,

Hangzhou, 310053, China

zjhzjacky@, zjuyjw@, pearl@

Abstract

Jacquard image inpainting is an interesting new research topic in pattern preprocessing for jacquard CAD. Phase field model has been well acknowledged as an important method for image inpainting. This paper discussed the problem of jacquard image inpainting by approaching the phase field paradigm from a numerical approximation perspective. The basic idea is to represent the damaged pattern of interest in implicit form, and fill-in the damaged parts with a system of geometric partial differential equations derived from phase-field model. The novelty of our approach lies primarily in exploiting explicitly the constraint enforced by the numerical solving of the sequential evolving of phase-field model. Extensive experiments are carried out in order to validate and compare the algorithm both quantitatively and qualitatively. They show the advantages of our algorithm and its readily application to jacquard texture.

1. Introduction

CAD technique has been broadly used in jacquard texture industry. One of the most important aspects of the jacquard CAD system is to simulate the appearance of jacquard texture during output[1]. Automatic inpainting and restoration are closely related to jacquard CAD system[2]. Jacquard image inpainting is to restore a damaged image with missing information, so it is needed to determine which parts of the image the computer needs to retouch and in many cases the missing delineation of objects yields valuable information[3]. Jacquard image inpainting has become an indispensable process to quantitative analysis of images for jacquard CAD system. The process of inpainting is challenging due to poor image contrast and artifacts that result in missing or diffuse pattern boundaries. Thus, this task involves incorporating as much prior information as possible into a single framework. Traditionally, jacquard image inpainting techniques require some form of expert human supervision to provide accurate and consistent identification of pattern structures of interest[4].

A key difficulty associated with digital inpainting is to set up a measure of visual sensitivity towards defects which can be used in computer code. Most inpainting mechanisms use a singular resolution approach on the extrapolation or interpolation of pixels. Oliveira et al. introduced a simple and faster mechanism to filling the damaged area[4]. This algorithm can inpainting an image in just a few seconds, it can be used for interactive construction of tight masks. Bertalmio et.al decomposes the original image into two components, one of which is processed by inpainting and the other by texture synthesis[5]. The output image is the sum of the two processed components. This approach still remains limited to the removal of small image gaps, however, as the diffusion process continues to blur the filled region. Chan and Shen develop inpainting schems from the viewpoint of variational principles and image prior mode [6]. The method explains successfully some aspects of the human disocclusion process in vision psychology. Esedoglu et al. [7] have presented a technique for filling image regions based on a texture-segmentation step and a tensor-voting algorithm for the smooth linking of structures across holes.

In the last decades, many algorithms that deal with image processing using phase-field models have been presented in the literatures [8-11]. The range of applications of phase field models in image processing includes noise removal, image segmentation and shape optimization problems. What is common to all these models is that they are all solved by minimization of an

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