By Dieudonne J.
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In algebraic topology a few classical invariants - akin to Betti numbers and Reidemeister torsion - are outlined for compact areas and finite staff activities. they are often generalized utilizing von Neumann algebras and their lines, and utilized additionally to non-compact areas and limitless teams. those new L2-invariants include very fascinating and novel details and will be utilized to difficulties coming up in topology, K-Theory, differential geometry, non-commutative geometry and spectral thought.
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Extra resources for Algebre lineare et geometrie elementaire
In this paper, we detail two wavelet-based approaches for shape compression using spherical geometry images, and provide comparisons with previous compression schemes. 1 Introduction In previous work , we introduce a robust algorithm for spherical parametrisation, which smoothly maps a genus-zero surface to a sphere domain. This sphere domain can in turn be unfolded onto a square, to allow remeshing of surface geometry onto a regular 2D grid – a geometry image. One important use for such a representation is shape compression, the concise encoding of surface geometry.
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