Cross-Weighted Moments and Affine Invariants for Image Registration and Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ordering and Parameterizing Scattered 3D Data for B-Spline Surface Approximation
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Exact Method for Computing the Area Moments of Wavelet and Spline Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Implicitization of Parametric Curves by Matrix Annihilation
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Using cross-ratios to model curve data for aircraft recognition
Pattern Recognition Letters
Object Contour Extraction Using Adaptive B-Snake Model
Journal of Mathematical Imaging and Vision
Synthesized affine invariant function for 2D shape recognition
Pattern Recognition
Pattern Recognition
An efficient graph-based recognizer for hand-drawn symbols
Computers and Graphics
2D Affine-Invariant Contour Matching Using B-Spline Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Signature Invariants for Effective Motion Trajectory Recognition
International Journal of Robotics Research
Stable Algebraic Surfaces for 3D Object Representation
Journal of Mathematical Imaging and Vision
Multisource data registration based on NURBS description of contours
International Journal of Remote Sensing
Dynamic B-snake model for complex objects segmentation
Image and Vision Computing
A new adaptive B-spline VFC snake for object contour extraction
ICCCI'10 Proceedings of the Second international conference on Computational collective intelligence: technologies and applications - Volume Part III
Sketch parameterization using curve approximation
GREC'05 Proceedings of the 6th international conference on Graphics Recognition: ten Years Review and Future Perspectives
Geometric invariant curve and surface normalization
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part II
An efficient graph-based symbol recognizer
SBM'06 Proceedings of the Third Eurographics conference on Sketch-Based Interfaces and Modeling
Efficient detection of symmetries of polynomially parametrized curves
Journal of Computational and Applied Mathematics
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The article deals with the problem of matching and recognizing planar curves that are modeled by B-splines, independently of possible affine transformations to which the original curve has been subjected (for example, rotation, translation, scaling, orthographic, and semiperspective projections), and possible occlusion. It presents a fast algorithm for estimating the B-spline control points that is robust to nonuniform sampling, noise, and local deformations. Curve matching is achieved by using a similarity measure based on the B-spline knot points introduced by Cohen et al. (1991). This method, however, can neither handle the affine transformation between the curves nor the occlusion. Solutions to these two problems are presented through the use of a new class of weighted B-spline curve moments that are well defined for both open and closed curves. The method has been applied to classifying affine-transformed aircraft silhouettes, and appears to perform well