Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?

Image Segmentation Using Active Contours: Calculus Of Variations Or Shape Gradients?

Shape Gradients for Histogram Segmentation using Active Contours

We consider the problem of image segmentation using active contours through the minimization of an energy criterion involving both region and boundary functionals. These functionals are derived through a shape derivative approach instead of classical calculus of variation. The equations can be elegantly derived without converting the region integrals into boundary integrals. From the derivative...

using Prior Shape and Points in Medical Image Segmentation

In this paper we propose a new variational framework for image segmentation that incorporates the information of expected shape and a few points on the boundary into geodesic active contours. The energy functional in this model consists of three terms. One measures high image gradients, the other two measure the disparity in shape between the interface and prior, and the distance from the prior...

Aerial and Satellite Image Segmentation Based on Shape- Constrained Geodesic Active Contours

In this paper, we propose a novel mathematical model to address segmentation from an aerial and satellite imagery. Segmentation is performed through the consistent recovery of the zero iso-surfaces of a level set function towards image’s foreground (desired object for extraction) and background discrimination. The level set method is embedded in a geodesic active contours variational formulatio...

A variational segmentation framework using active contours and thresholding

Segmentation involves separating distinct regions in an image. In this note, we present a novel variational approach to perform this task. We propose an energy functional that naturally combines two segmentation techniques usually applied separately: intensity thresholding and geometric active contours. Although our method can deal with more complex image statistics, intensity averages are used...