Axial representations of shape
Computer Vision, Graphics, and Image Processing
Classification of Partial 2-D Shapes Using Fourier Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
A survey of the Hough transform
Computer Vision, Graphics, and Image Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative point matching for registration of free-form curves and surfaces
International Journal of Computer Vision
Active shape models—their training and application
Computer Vision and Image Understanding
SIGMOD '95 Proceedings of the 1995 ACM SIGMOD international conference on Management of data
IEEE Transactions on Pattern Analysis and Machine Intelligence
BMVC '95 Proceedings of the 1995 British conference on Machine vision (Vol. 1)
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computable elastic distances between shapes
SIAM Journal on Applied Mathematics
Nonlinear component analysis as a kernel eigenvalue problem
Neural Computation
Stochastic Jump-Diffusion Process for Computing Medial Axes in Markov Random Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
An introduction to support Vector Machines: and other kernel-based learning methods
An introduction to support Vector Machines: and other kernel-based learning methods
Content-Based Image Retrieval at the End of the Early Years
IEEE Transactions on Pattern Analysis and Machine Intelligence
New Measurements and Corner-Guidance for Curve Matching with Probabilistic Relaxation
International Journal of Computer Vision
Modal Matching for Correspondence and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Matching and Object Recognition Using Shape Contexts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generic Shape Learning and Recognition
ECCV '96 Proceedings of the International Workshop on Object Representation in Computer Vision II
Classes of kernels for machine learning: a statistics perspective
The Journal of Machine Learning Research
A Multi-scale Generative Model for Animate Shapes and Parts
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Curves vs. skeletons in object recognition
Signal Processing - Special section on content-based image and video retrieval
Fourier Descriptors for Plane Closed Curves
IEEE Transactions on Computers
Comparing support vector machines with Gaussian kernels to radialbasis function classifiers
IEEE Transactions on Signal Processing
Shape retrieval based on dynamic programming
IEEE Transactions on Image Processing
Improving the stability of algebraic curves for applications
IEEE Transactions on Image Processing
Adaptive quasiconformal kernel discriminant analysis
Neurocomputing
International Journal of Business Intelligence and Data Mining
Fusion of IR and visible light modalities for face recognition
BTAS'09 Proceedings of the 3rd IEEE international conference on Biometrics: Theory, applications and systems
Adaptive kernel principal component analysis
Signal Processing
Information Sciences: an International Journal
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We present in this paper a novel approach for shape description based on kernel principal component analysis (KPCA). The strength of this method resides in the similarity (rotation, translation and particularly scale) invariance of KPCA when using a family of triangular conditionally positive definite kernels. Beside this invariance, the method provides an effective way to capture non-linearities in shape geometry. A given two-dimensional curve is described using the eigenvalues of the underlying manifold modeled in a high-dimensional Hilbert space. Using Fourier analysis, we will show that this eigenvalue description captures low to high variations of the shape frequencies. Experiments conducted on standard databases including the SQUID, the Swedish and the Smithsonian leaf databases, show that the method is effective in capturing invariance and generalizes well for shape matching and retrieval.