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On the spectral properties of tangent vector fields on surfaces with applications to geometry processing

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On the spectral properties of tangent vector fields on surfaces with applications to geometry processing
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22
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Tangent vector fields on surfaces are linear operators acting on scalar functions. Taking this classical view as the starting point for the discretization of tangent vector fields on discrete surfaces, leads to interesting operator-based insights and applications. For example, geometric properties of the vector field can be expressed as algebraic properties of its matrix representation. We will present some theoretical properties and applications to geometry processing.