ChanVeseBinarize

• ChanVeseBinarize implements an iterative active contour method to achieve a two-level segmentation of an image.

• ChanVeseBinarize works with arbitrary grayscale and multichannel images.

• In ChanVeseBinarize, marker can be given either as an image, a graphics object, or a list of points in the standard image coordinate system, where x runs from 0 to width and y runs from 0 to height, and position corresponds to the bottom-left corner of the image.

• ChanVeseBinarize uses the Euclidean distance between channel vectors to determine the similarity between pixels inside and outside of the contour.

• ChanVeseBinarize iteratively minimizes a functional that is a weighted sum of the contour length, the enclosed area, and the deviation between the image and the two-level segmentation.

• The weights can be specified with the following options:

• With the setting , both foreground and background colors can be specified.

• The maximum number of iteration steps is given by the MaxIterations option with default setting 100.

• The Chan-Vese segmentation of an image domain into the two segments and with contour minimizes the following functional of image :

• 

• The Chan-Vese functional is parametrized by the length penalty , the area penalty , and level penalties and .

• The Chan-Vese algorithm partitions image such that the first segment will differ as little as possible from constant and the second segment will deviate as little as possible from constant . If constants and are not specified, one assumes c₁=Mean[f] in , and c₂=Mean[f] in .

• The contour between the two resulting segments and will exhibit a short length for , and for the area of will tend to be small or for tend to be large.

• The weighting coefficients , , , and are accessible through the following options.