A. Gabdulkhakova,W. Kropatsch:

"Confocal ellipse-based distance and confocal elliptical field for polygonal shapes";

Talk: 23rd Computer Vision Winter Workshop (CVWW), Český Krumlov, Czech Republic (invited); 2018-02-05 - 2018-02-07.

The paper introduces a novel confocal ellipse-based distance (CED), that is based on the properties of the confocal ellipses. This distance is used to produce a confocal elliptical field (CEF). The Euclidean Distance Transform (EDT) of a single point (called seed) generates a distance field of concentric circles. The sum of two such distance fields of two distinct seed points produces a distance field of confocal ellipses. This fact enables to adapt CED and CEF to the discrete case, referred to as CEDDT and CEF-DT. The properties of the CEF and CEF-DT make them useful for skeletonization, in particular for efficient removal of the spurious branches.

https://publik.tuwien.ac.at/files/publik_272892.pdf

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