| 金正猛,杨孝平.图像修复中BSCB模型的粘性分析[J].数学年刊A辑,2010,31(1):107~118 |
| 图像修复中BSCB模型的粘性分析 |
| Viscosity Analysis on the BSCB Models for Image Inpainting |
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| DOI： |
| 中文关键词: BSCB方程 变形的BSCB方程组 粘性消失 图像修复 |
| 英文关键词:BSCB equation Modified BSCB system Vanishing viscosity Image inpainting |
| 基金项目:教育部博士点专项基金，南京理工大学优秀博士基金资助的项目 |
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| 中文摘要: |
| 考虑图像修复中BSCB方程和变形的BSCB方程组的粘性问题.运用半群理论,得到粘性BSCB方程光滑解的存在唯一性.此外,利用粘性消失方法还得到:当粘性系数ν→0时,粘性变形的BSCB方程组的解在经典意义下收敛到变形的BSCB方程组的解. |
| 英文摘要: |
| The authors consider the viscous problems of BSCB equation and modified BSCB system for image inpainting.They obtain the existence and uniqueness of global smooth solutions of the viscous BSCB equation by using semigroup theory.In addition,they employ the method of vanishing viscosity to get that the solution of viscous modified BSCB system tends to the solution of Modified BSCB system as the viscosity coefficient ν→0. |
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