Total variation image edge detection
Peter Ndajah, Hisakazu Kikuchi · International Conference on Electronics, Hardware, Wireless and Optical Communications · 2011
We studied total variation anisotropic image edge detection. We derive the total variation functional from first principles rather than from measure theory and distribution theory. The Euler-Lagrange equation of the total variation functional gives a steady state equation. The steady state equation acts as an anistropic filter on an image. We compared the total variation method to the Marr-Hildreth method and found that the total variation method gives stronger edges and greater image detail at any scale than the Marr-Hildreth method. The zero crossing method used to find edge points in the Marr-Hildreth method is not effective for the total variation method. simple thresholding appears to be more effective.