Improved Functional Mappings via Product Preservation
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DOI: 10.1111/cgf.13352
Abstract: In this paper, we consider the problem of information transfer across shapes and propose an extension to the widely used functional map representation. Our main observation is that in addition to the vector space structure… read more here.
Keywords: mappings via; functional mappings; improved functional; transfer ... See more keywords
Discrete Optimization for Shape Matching
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DOI: 10.1111/cgf.14359
Abstract: We propose a novel discrete solver for optimizing functional map‐based energies, including descriptor preservation and promoting structural properties such as area‐preservation, bijectivity and Laplacian commutativity among others. Unlike the commonly‐used continuous optimization methods, our approach… read more here.
Keywords: shape matching; optimization shape; discrete solver; discrete optimization ... See more keywords
A Data‐Driven Approach to Functional Map Construction and Bases Pursuit
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DOI: 10.1111/cgf.14360
Abstract: We propose a method to simultaneously compute scalar basis functions with an associated functional map for a given pair of triangle meshes. Unlike previous techniques that put emphasis on smoothness with respect to the Laplace–Beltrami… read more here.
Keywords: data driven; map; map construction; functional map ... See more keywords
WTFM Layer: An Effective Map Extractor for Unsupervised Shape Correspondence
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DOI: 10.1111/cgf.14656
Abstract: We propose a novel unsupervised learning approach for computing correspondences between non‐rigid 3D shapes. The core idea is that we integrate a novel structural constraint into the deep functional map pipeline, a recently dominant learning… read more here.
Keywords: map; shape correspondence; functional map; wtfm layer ... See more keywords
Scalable and Efficient Functional Map Computations on Dense Meshes
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DOI: 10.1111/cgf.14746
Abstract: We propose a new scalable version of the functional map pipeline that allows to efficiently compute correspondences between potentially very dense meshes. Unlike existing approaches that process dense meshes by relying on ad‐hoc mesh simplification,… read more here.
Keywords: dense meshes; scalable efficient; efficient functional; map computations ... See more keywords