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

Volume

1

fYear

1996

fDate

16-19 Sep 1996

Firstpage

477

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1996. Proceedings., International Conference on

Conference_Location

Lausanne

Print_ISBN

0-7803-3259-8

Type

conf

DOI

10.1109/ICIP.1996.559537

Filename

559537