Title :
Discrete circular arcs
Author :
Worring, Marcel ; Smeulders, Arnold W M
Author_Institution :
Fac. of Math. & Comput. Sci., Amsterdam Univ., Netherlands
Abstract :
In this contribution we consider in all detail the effect of digitization on circular arcs. Given a specific discrete circular arc we find the set of all continuous arcs which by digitization would result in this pattern. From this characterization we provide optimal estimates of the radius (or curvature) of the original arc. This estimator achieves the ultimate precision one can reach in estimation which we call the geometric minimum variance bound (GMVB)
Keywords :
curvature measurement; GMVB; curvature estimation; digitization; discrete circular arcs; geometric minimum variance bound; radius estimation; Computer science; Grid computing; High-resolution imaging; Image resolution; Mathematics; Quantization; Shape; Spatial resolution; Stochastic resonance; Stochastic systems;
Conference_Titel :
Pattern Recognition, 1994. Vol. 1 - Conference A: Computer Vision & Image Processing., Proceedings of the 12th IAPR International Conference on
Conference_Location :
Jerusalem
Print_ISBN :
0-8186-6265-4
DOI :
10.1109/ICPR.1994.576252