Notes on the curvature tensor

descriptionPublicationkeyboard_double_arrow_right Article 01 Nov 2012 English Publisher:Elsevier BVJournal:Graphical Models, volume 74, pages 321-325 (issn: 1524-0703,

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Authors: Nicole Lehmann; Ulrich Reif;

doi: 10.1016/j.gmod.2012.04.003

Notes on the curvature tensor

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Abstract

Graphical abstractDisplay Omitted Highlights? We derive formulas for the curvature tensor of parametrized surf and provide integrability conditions for surface reconstruction. ? We derive formulas for the curvature tensor of implicit surfaces. ? We derive formulas for the curvature tensor of surfaces obtained by space deformation of a given surface. We present a collection of formulas for computing the curvature tensor on parametrized surfaces, on implicit surfaces, and on surfaces obtained by space deformation.

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TU Darmstadt
Germany

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