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This paper presents a sparse representation of 2D pla-nar shape through the composition of warping functions, termed formlets, localized in scale and space. Each formlet subjects the 2D space in which the shape is embedded to a localized isotropic radial deformation. By constraining these localized warping transformations to be diffeomor-phisms, the(More)
The midlevel visual cortical area V4 in the primate is thought to be critical for the neural representation of visual shape. Several studies agree that V4 neurons respond to contour features, e.g., convexities and concavities along a shape boundary, that are more complex than the oriented segments encoded by neurons in the primary visual cortex. Here we(More)
a r t i c l e i n f o We propose a sparse representation of 2D planar shape through the composition of warping functions, termed formlets, localized in scale and space. Each formlet subjects the 2D space in which the shape is embedded to a localized isotropic radial deformation. By constraining these localized warping transformations to be diffeomorphisms,(More)
23 24 The mid-level visual cortical area V4 in the primate is thought to be critical for the neural 25 representation of visual shape. Several studies agree that V4 neurons respond to 26 contour features, e.g., convexities and concavities along a shape boundary, that are 27 more complex than the oriented segments encoded by neurons in the primary visual 28(More)
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