IEEE Transactions on Pattern Analysis and Machine Intelligence
Object recognition based on moment (or algebraic) invariants
Geometric invariance in computer vision
Differential and Numerically Invariant Signature Curves Applied to Object Recognition
International Journal of Computer Vision
Numerically Invariant Signature Curves
International Journal of Computer Vision
Noise-Resistant Invariants of Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
PIMs and Invariant Parts for Shape Recognition
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Affine invariant fitting of algebraic curves using Fourier descriptors
Pattern Analysis & Applications
Rotations, translations and symmetry detection for complexified curves
Computer Aided Geometric Design
Affine normalization of symmetric objects
ACIVS'05 Proceedings of the 7th international conference on Advanced Concepts for Intelligent Vision Systems
Affine-invariant B-spline moments for curve matching
IEEE Transactions on Image Processing
Improving the stability of algebraic curves for applications
IEEE Transactions on Image Processing
Rational Hausdorff divisors: A new approach to the approximate parametrization of curves
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
We present efficient algorithms for detecting central and mirror symmetry for the case of algebraic curves defined by means of polynomial parametrizations. The algorithms are based on the existence of a linear relationship between two proper polynomial parametrizations of the curve, which leads to a triangular polynomial system (with complex unknowns) that can be solved in a very fast way; in particular, curves parametrized by polynomials of serious degrees can be analyzed in a few seconds. In our analysis we provide a good number of theoretical results on symmetries of polynomial curves, algorithms for detecting rotation and mirror symmetry, and closed formulas to determine the symmetry center and the symmetry axis, when they exist. A complexity analysis of the algorithms is also given.