New image segmentation method based on fourth-order partial differential equations for noise removal
Wen Xiao-fang · Jisuanji gongcheng · 2004
A class of fourth-order partial differential equations (PDEs) was proposed to optimize the trade-off between noise removal and edge preservation. These PDEs can remove noise and preserve edges by approximating an observed image with a piecewise planar image, and the gradient of the processed image isn't continuous at the boundary. A novel scheme for the detection of object boundaries was presented. The technique is based on geodesic active contours evolving in time according to intrinsic geometric measures of the Laplacian of image, which is infinite at the boundary after being processed by our fourth-order partial differential equations. The previous models of geodesic active contours were improved, and could detect boundaries more stably and quickly.