关键词: 小波变换, 偏微分方程, 图像分解, 边缘检测, 结构, 纹理

Abstract: In the decomposition of natural image containing texture, the edge information of structure image is easy to be regarded as the texture, which results in blurred edge of the structural image and inaccurate detected edge. An image decomposition and edge detection method was proposed based on wavelet transform of Partial Differential Equation (PDE). At first, wavelet transform threshold was used to extract texture information. Then the improved PDE image decomposition model was used to further decompose the image and extract the edge. The numerical experimental results show that this method improves the quality of image decomposition, makes the texture extraction through and the structure image piecewise smooth, and better protects the edge of the structure.

Key words: wavelet transform, Partial Differential Equation (PDE), image decomposition, edge detection, structure, texture