A Fourth Order Partial Differencial Equation Combining the Total Variation with Wavelet Transform for Image Restoration

摘要：

In this paper we present a fourth order partial differential equation combining the total variation with wavelet transform for image denoising. The TV method provides fast adaptive wavelet-based solvers for the TV model. Our approach employs a wavelet collocation method applied to the TV model using twodimensional anisotropic tensor product of Daubechies wavelets. The algorithm inherently not only combines the denoising property of wavelet compression algorithms with that of the TV model, but also gives a relative new TV functional, so that we produced a fourth order partial differential equation , and produces results superior to each method when implemented alone. We present a detailed description of our method and results which indicate that a combination of wavelet based denoising techniques with the TV model produces superior results.

关键词： fourth order partial differential equation TV model Wavelet transform image Restoration

作者: Dong-Hong Zhao Xiang-Kui Zhao Lai-Sheng Wang

作者单位: University of Science and Technology of Beijing School of Applied Science,Department of Mathematics University of Science and Technology of Beijing School of Applied Science,Department of Mathematics Agriculture University of China, School of Science Department of Mathematics Beijing, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1630-1635

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）