## Gradient Flows and Geometric Active Contour Models (1994)

Citations: | 198 - 15 self |

### BibTeX

@MISC{Kichenassamy94gradientflows,

author = {Satyanad Kichenassamy and Arun Kumar and Peter Olver and Allen Tannenbaum and Anthony Yezzi Jr.},

title = {Gradient Flows and Geometric Active Contour Models},

year = {1994}

}

### Years of Citing Articles

### OpenURL

### Abstract

In this note, we analyze the geometric active contour models proposed in [10, 31] from a curve evolution point of view and propose some modifications based on gradient flows relative to certain new metrics. This leads to a novel snake paradigm in which the feature of interest may be considered to lie at the bottom of a potential well. Thus the snake is attracted very naturally and efficiently to the desired feature. Moreover, we consider some 3-D active surface models based on these ideas. Key words: Active vision, shape and object representation, object recognition, active contours, snakes, visual tracking, edge detection, segmentation, gradient flows, Riemannian metrics, geometric heat equations, curve and surface evolution. Gradient Flows and Geometric Active Contour Models Abstract In this note, we analyze the geometric active contour models proposed in [10, 31] from a curve evolution point of view and propose some modifications based on gradient flows relative to certain new m...