3D object recognition using invariants of 2D projection curves

Ünel, Mustafa and Soldea, Octavian and Özgür, Erol and Bassa, Alp (2010) 3D object recognition using invariants of 2D projection curves. Pattern Analysis and Applications, 13 (4). pp. 451-468. ISSN 1433-7541

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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.
Item Type: Article
Uncontrolled Keywords: Recognition; Algebraic surfaces; Implicit polynomials; Invariants; Principal axes
Subjects: T Technology > T Technology (General)
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering and Natural Sciences > Academic programs > Mechatronics
Faculty of Engineering and Natural Sciences
Depositing User: Mustafa Ünel
Date Deposited: 08 Nov 2010 16:49
Last Modified: 25 May 2011 14:12
URI: https://research.sabanciuniv.edu/id/eprint/15104

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