Title :
The support cone: a representational tool for the analysis of boundaries and their interactions
Author :
Dorst, Leo ; van den Boorngaard, R.
Author_Institution :
Amsterdam Univ., Netherlands
fDate :
2/1/2000 12:00:00 AM
Abstract :
We present a directional boundary representation which deals locally and consistently with the boundary´s “inside”. We show that collision and wave propagation are reduced to addition on the spectrum of directions, and we derive transformation laws for differential geometrical properties such as directed curvature
Keywords :
boundary-value problems; differential geometry; edge detection; mathematical morphology; transforms; Gauss map; Huygens wave propagation; Legendre transform; boundary representation; collision detection; differential geometry; directed curvature; directional boundary; mathematical morphology; slope transforms; Acoustic propagation; Algorithm design and analysis; Application software; Gaussian processes; Geometry; Morphology; Object detection; Radar detection; Robots; Shape;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
