Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/79428
Title: Active contour with a tangential component
Authors: Wang, Junyan
Chan, Kap Luk
Keywords: DRNTU::Engineering::Electrical and electronic engineering
Issue Date: 2014
Source: Wang, J., & Chan, K. L. (2014). Active contour with a tangential component. Journal of mathematical imaging and vision, 51(2), 229-247.
Series/Report no.: Journal of mathematical imaging and vision
Abstract: 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.
URI: https://hdl.handle.net/10356/79428
http://hdl.handle.net/10220/24230
ISSN: 0924-9907
DOI: 10.1007/s10851-014-0519-y
Schools: School of Electrical and Electronic Engineering 
Rights: © 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].
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

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