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- W2105165055 abstract "We develop a mathematical framework for describing local features of a geometric object—such as the edges of a square or the apex of a cone—in terms of algebraic topological invariants. The main tool is the construction of a tangent complex for an arbitrary geometrical object, generalising the usual tangent bundle of a manifold. This framework can be used to develop algorithms for automatic feature location. We give several examples of applying such algorithms to geometric objects represented by point-cloud data sets." @default.
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- W2105165055 date "2006-08-01" @default.
- W2105165055 modified "2023-09-25" @default.
- W2105165055 title "AN ALGEBRAIC TOPOLOGICAL METHOD FOR FEATURE IDENTIFICATION" @default.
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- W2105165055 doi "https://doi.org/10.1142/s021819590600204x" @default.
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