Name
Abstract | ||
|---|---|---|
This paper presents a new method for recognizing 3D objects based on the comparison of invariants of their 2D projection curves. We show that Euclidean equivalent 3D surfaces imply affine equivalent 2D projection curves that are obtained from the projection of cross-section curves of the surfaces onto the coordinate planes. Planes used to extract cross-section curves are chosen to be orthogonal to the principal axes of the defining surfaces. Projection curves are represented using implicit polynomial equations. Affine algebraic and geometric invariants of projection curves are constructed and compared under a variety of distance measures. Results are verified by several experiments with objects from different classes and within the same class. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s10044-010-0179-5 | Pattern Anal. Appl. |
Keywords | Field | DocType |
implicit polynomial equation,geometric invariants,affine algebraic,projection curve,different class,euclidean equivalent,affine equivalent,distance measure,defining surface,recognitionalgebraic surfaces � implicit polynomialsinvariantsprincipal axes,object recognition,cross-section curve,cross section | Graphical projection,Projection (mathematics),Family of curves,Orthographic projection,Mathematical analysis,Artificial intelligence,Geometry,Projection plane,Affine geometry of curves,Planar projection,Pattern recognition,Projection (set theory),Mathematics | Journal |
Volume | Issue | ISSN |
13 | 4 | 1433-755X |
Citations | PageRank | References |
3 | 0.36 | 34 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mustafa Ünel | 1 | 154 | 20.71 |
| Octavian Soldea | 2 | 150 | 11.96 |
| Erol Ozgur | 3 | 27 | 6.17 |
| Alp Bassa | 4 | 7 | 1.83 |