Scale-space and edge detection using anisotropic diffusion：（使用各向异性扩散尺度空间和边缘检测）.pdfVIP

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE. VOL. 12. NO. 7. JULY 1990 629 Sca le-Spaceand Edge Detection Us ing An isotropic D iffus ion PIETRO PERONA AND JITENDRA MALIK Abstract-The scale-space technique introduced by Witkin involves generating coarser resolution images by convolving the original image with a Gaussian kernel. This approach has a major drawback: it is difficult to obtain accurately the locations of the “semantically mean- ingful” edges at coarse scales. In this paper we suggest a new definition of scale-space, and introduce a class of algorithms that realize it using a diffusion process. The diffusion coefficient is chosen to vary spatially in such a way as to encourage intraregion smoothing in preference to interregion smoothing. It is shown that the “no new maxima should be generated at coarse scales” property of conventional scale space is pre- served. As the region boundaries in our approach remain sharp, we obtain a high quality edge detector which successfully exploits global information. Experimental results are shown on a number of images. The algorithm involves elementary, local operations replicated over the Fig. 1. A family of 1-D signals 1(x, t) obtained by convolving the original image making parallel hardware implementations feasible. one (bottom) with Gaussian kernels whose variance increases from bot- tom to top (adapted from Witkin 1211). Ind