Title :
From active contours to anisotropic diffusion: connections between basic PDE´s in image processing
Author :
Sapiro, Guillermo
Author_Institution :
Hewlett-Packard Labs., Palo Alto, CA, USA
Abstract :
We present mathematical and qualitative relations between a number of partial differential equations frequently used in image processing and computer vision. We show for example that classical active contours introduced for object detection by Terzopoulos (1988) and colleagues are connected to anisotropic diffusion flows as those defined by Perona and Malik (1990). We also deal with the relation of these flows with shock filters and variational approaches for image restoration
Keywords :
computer vision; filtering theory; image restoration; image segmentation; object detection; partial differential equations; variational techniques; PDE; active contours; anisotropic diffusion flows; computer vision; image processing; image restoration; object detection; partial differential equations; shock filters; variational approaches; Active contours; Anisotropic magnetoresistance; Computer vision; Electric shock; Filters; Image processing; Image restoration; Milling machines; Object detection; Partial differential equations;
Conference_Titel :
Image Processing, 1996. Proceedings., International Conference on
Conference_Location :
Lausanne
Print_ISBN :
0-7803-3259-8
DOI :
10.1109/ICIP.1996.559537
