Matrix analysis
Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing the polar decomposition with applications
SIAM Journal on Scientific and Statistical Computing
Classification of Partial 2-D Shapes Using Fourier Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Application of Affine-Invariant Fourier Descriptors to Recognition of 3-D Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Complex Autoregressive Model for Shape Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-based correspondence: an eigenvector approach
Image and Vision Computing - Special issue: BMVC 1991
Efficiently Locating Objects Using the Hausdorff Distance
International Journal of Computer Vision
Invariance signatures: characterizing contours by their departures from invariance
Computer Vision and Image Understanding
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
A new point matching algorithm for non-rigid registration
Computer Vision and Image Understanding - Special issue on nonrigid image registration
"GrabCut": interactive foreground extraction using iterated graph cuts
ACM SIGGRAPH 2004 Papers
Graphical Models and Point Pattern Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Classification Using the Inner-Distance
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust symbolic representation for shape recognition and retrieval
Pattern Recognition
Geometry-Based Image Retrieval in Binary Image Databases
IEEE Transactions on Pattern Analysis and Machine Intelligence
Affine-invariant contours recognition using an incremental hybrid learning approach
Pattern Recognition Letters
Fourier Descriptors for Plane Closed Curves
IEEE Transactions on Computers
Efficient partial shape matching of outer contours
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part I
Distance sets for shape filters and shape recognition
IEEE Transactions on Image Processing
Affine-permutation invariance of 2-D shapes
IEEE Transactions on Image Processing
Hi-index | 0.01 |
An efficient and rigorous algorithm is proposed for contour matching invariant to the full set of affine transformations. The algorithm is based on an invariant theory of orthogonal projection matrices derived from configuration matrices of point sets. Diagonals of the orthogonal projection matrices (DOPM) are used as contour descriptors and affinity measures are deduced to act as criteria for contour matching. Perturbation analysis is performed using the theory of polar decomposition, resulting in quantitative perturbation bounds for the affine-invariant descriptors and the affinity measures. A useful schema of outlier removal based upon the monotonic property of contour correspondence is also embedded in the algorithm. Experiments for synthetic and real-world data are provided to test the algorithm and compare it with the state-of-the-art methods, validating that the algorithm is fast, robust and able to match partial contours with occlusions and outliers under affine or more complex transformations.