Name
Abstract | ||
|---|---|---|
A new method is presented for identifying and comparing closed, bounded, free-form curves that are defined by even implicit polynomial (IP) equations in the Cartesian coordinates x and y. The method provides a new expression for an IP involving a product of conic factors with unique conic factor centers. The critical points for an IP curve also are defined. The conic factor centers and the critical points are shown to be useful related points that directly map to one another under affine transformations. In particular, the explicit determination of such points implies both a canonical form for the curves and the transformation matrix which relates affine equivalent curves. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1109/34.722620 | Pattern Analysis and Machine Intelligence, IEEE Transactions |
Keywords | Field | DocType |
computer vision,edge detection,object recognition,polynomials,transforms,Cartesian coordinates,affine transformations,canonical curves,computer vision,conic factors,implicit polynomial,object recognition,pose estimation,transformation matrix | Affine transformation,Affine shape adaptation,Family of curves,Artificial intelligence,Transformation matrix,Affine geometry of curves,Discrete mathematics,Pattern recognition,Affine combination,Pure mathematics,Canonical form,Conic section,Mathematics | Journal |
Volume | Issue | ISSN |
20 | 10 | 0162-8828 |
Citations | PageRank | References |
24 | 1.61 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| William A. Wolovich | 1 | 31 | 2.89 |
| Mustafa Ünel | 2 | 154 | 20.71 |