Active contour with a tangential component
Chan, Kap Luk
Date of Issue2014
School of Electrical and Electronic Engineering
Conventional edge-based active contours often require the normal component of an edge indicator function on the optimal contours to approach zero, while the tangential component can still be significant. In real images, the full gradients of the edge indicator function along the object boundaries are often small. Hence, the curve evolution of edge-based active contours can terminate early before converging to the object boundaries with a careless contour initialization. We propose a novel Geodesic Snakes (GeoSnakes) active contour that requires the full gradients of the edge indicator to vanish at the optimal solution. Besides, the conventional curve evolution approach for minimizing active contour energy cannot fully solve the Euler–Lagrange equation of our GeoSnakes active contour, causing a pseudo stationary phenomenon (PSP). To address the PSP problem, we propose an auxiliary curve evolution equation, named the equilibrium flow (EF) equation. Based on the EF and the conventional curve evolution, we obtain a solution to the full Euler–Lagrange equation of GeoSnakes active contour. Experimental results validate the proposed geometrical interpretation of the early termination problem, and they also show that the proposed method is able to overcome the problem.
DRNTU::Engineering::Electrical and electronic engineering
Journal of mathematical imaging and vision
© 2014 Springer Science+ Business Media New York. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Mathematical Imaging and Vision, Springer Science+ Business Media New York. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s10851-014-0519-y].