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Title: Script geometry
Author: Cerejeiras, P.
Kahler, U.
Sommen, F.
Vajiac, A.
Keywords: Script
Simplicial topology
Discrete exterior derivative
Hodge–Dirac operator
Discrete Laplacian
Issue Date: 23-Nov-2016
Publisher: Springer International Publishing
Abstract: In this paper we describe the foundation of a new kind of discrete geometry and calculus called Script Geometry. It allows to work with more general meshes than classic simplicial complexes. We provide the basic definitions as well as several examples, like the Klein bottle and the projective plane. Furthermore, we also introduce the corresponding Dirac and Laplace operators which should lay the groundwork for the development of the corresponding discrete function theory.
DOI: 10.1007/978-3-319-42529-0_5
ISBN: 978-3-319-42528-3
Appears in Collections:CIDMA - Capítulo de livro
CHAG - Capítulo de livro

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