On the Stability of Functional Maps and Shape Difference Operators
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DOI: 10.1111/cgf.13238
Abstract: In this paper, we provide stability guarantees for two frameworks that are based on the notion of functional maps—the framework of shape difference operators and the one of analyzing and visualizing the deformations between shapes.… read more here.
Keywords: functional maps; shape difference; difference operators; stability functional ... See more keywords
A parametric analysis of discrete Hamiltonian functional maps
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DOI: 10.1111/cgf.14072
Abstract: In this paper we develop an in‐depth theoretical investigation of the discrete Hamiltonian eigenbasis, which remains quite unexplored in the geometry processing community. This choice is supported by the fact that Dirichlet eigenfunctions can be… read more here.
Keywords: functional maps; analysis discrete; discrete hamiltonian; hamiltonian functional ... See more keywords
Complex Functional Maps: A Conformal Link Between Tangent Bundles
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DOI: 10.1111/cgf.14437
Abstract: In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their orientation awareness. More specifically,… read more here.
Keywords: functional maps; orientation; conformal link; tangent bundles ... See more keywords