Partial differential equation has broad application in image processing. In this paper, we focus on its application in texture analysis and edge location. For that purpose, two new partial differential equation application are proposed. The first process is based on an anisotropic diffusion. Recently, texton has been an intensely researched topic in texture analysis field. Gabor filters based method is commonly applied in this field. But the redundancy of Gabor filters makes texton based methods high time consumption. To reduce the time consumption, anisotropic diffusion (AD) filters are introduced into feature extraction for texton construction. Because anisotropic diffusion use much less nonlinear features to get the feature information of the Gabor filters, this method largely reduces feature vectors and time consumption while getting reliable texton construction. Texture retrieval is taken as example to compare the difference in texton construction and time consumption between Gabor filters and anisotropic diffusion filters. The proposed method’s effectiveness is proved to save 53% time compared with Gabor filters. The second process is based on an improved level set reconstruction. Traditional subpixel edge location algorithms use local model to realize precise edge location. Zigzag effect and discontinuous edge location are side effects. We present a new subpixel edge location algorithm based on partial differential equation (PDE). Level-set reconstruction (LSR) is introduced to smooth edge along their tangents. Anchor and topology constraints are used to avoid over-smoothing and keep edge topology structures. Subpixel edge location experiments with geometric and natural image shows, this method can remove zigzag effect while keeping edge smoothness and continuity.
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