Name
Abstract | ||
|---|---|---|
A novel approach to grouping symmetrical planar curves under a projective transform is described. Symmetric curves are important as a generic model for object recognition where an object class is defined by the set of symmetries that any object in the class obeys. In this paper, a new algorithm is presented for grouping curves based on their correspondence under a plane projectivity. The correspondence between curves is established from an initial correspondence between two pairs of distinguished lines, such as lines tangent to inflection points. This initial correspondence leads to a reduced dimensional form for the projective mapping between the curves and a natural method for establishing correspondence between all points on the curves. A saliency measure is introduced which permits grouping results to be ordered in terms of the degree of symmetry supported by each curve pair. This saliency measure provides a basis for recognition in the case of approximate symmetry. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1109/ICCV.1998.710856 | Bombay |
Keywords | Field | DocType |
approximate symmetry,object recognition,grouping curve,projective mapping,plane projective symmetry,saliency measure,distinguished line,class obeys,initial correspondence,curve pair,object class,computer vision,geometry,solid modeling,inflection points,layout,computer science | Real projective plane,Computer vision,Blocking set,Line at infinity,Pencil (mathematics),Artificial intelligence,Fano plane,Duality (projective geometry),Projective plane,Mathematics,Projective space | Conference |
Volume | Issue | ISBN |
1998 | 1 | 81-7319-221-9 |
Citations | PageRank | References |
8 | 0.73 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Rupert W. Curwen | 1 | 62 | 13.26 |
| J. L. Mundy | 2 | 1352 | 280.31 |
| Charles V. Stewart | 3 | 8 | 0.73 |