| A Depth-Compatible Multiscale Analysis of Movies (2007) | |||||||||||||||
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| Using an axiomatic formulation, we devise a diffusion equation on movies that preserves the 3D structure of objects, an interesting property for depth recovery tasks. Since this equation presents a strong singularity and is not handled by the classical theory of viscosity solutions, we study the existence and unicity of weak solutions, and point out some properties, including a variational interpretation. Last, we propose a very simple numerical scheme based on inf-sup operators and show some experiments on a real movie. Key words : second order parabolic partial differential equation, non-linear multiscale analysis, image processing, structure from motion, projective invariance, variational problem, numerical scheme. 1 Introduction : the depth recovery problem A recurrent aim of computer vision is to recover the tridimensional structure of an object represented on images from different points of view. Theoretically, two views (stereovision) are sufficient, but in practice m... | |||||||||||||||
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