# Matrix-valued kernels for shape deformation analysis

@inproceedings{Micheli2013MatrixvaluedKF, title={Matrix-valued kernels for shape deformation analysis}, author={Mario Micheli and Joan Alexis Glaun{\`e}s}, year={2013} }

The main purpose of this paper is providing a systematic study and classification of non-scalar kernels for Reproducing Kernel Hilbert Spaces (RKHS), to be used in the analysis of deformation in shape spaces endowed with metrics induced by the action of groups of diffeomorphisms. After providing an introduction to matrix-valued kernels and their relevant differential properties, we explore extensively those, that we call TRI kernels, that induce a metric on the corresponding Hilbert spaces of…

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