Using the Shape Gradient for Active Contour Segmentation: from the Continuous to the Discrete Formulation

• Published in: Journal of mathematical imaging and vision Vol. 28; no. 1; pp. 47 - 66
• Main Authors: Debreuve, É., Gastaud, M., Barlaud, M., Aubert, G.
• Format: Journal Article
• Language: English
• Published: Springer Verlag 01.05.2007
• Subjects: Computer Science; Engineering Sciences; Signal and Image processing; active contour; segmentation; discrete formulation; shape optimization; variational approach; shape derivative

A variational approach to image or video segmentation consists in defining an energy depending on local or global image characteristics, the minimum of which being reached for objects of interest. This study focuses on energies written as an integral on a domain of a function which can depend on thi...