2017
DOI: 10.1016/j.image.2017.07.005
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An advanced global point signature for 3D shape recognition and retrieval

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Cited by 10 publications
(2 citation statements)
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“…The recent discretization technique of the Laplacian Eigenspectrum made computational methods efficient and robust. The surface was modeled as a homogeneous vibrating membrane from spectral theory for shape analysis (see References [ 33 , 34 ]), and therefore Equation (2) in Reference [ 35 ] described its harmonic behavior. The powerful Spectral methods used for solving differential equations played a crucial role in object representation, due to the pose-invariant-property of the Laplace–Beltrami operator.…”
Section: Methodsmentioning
confidence: 99%
“…The recent discretization technique of the Laplacian Eigenspectrum made computational methods efficient and robust. The surface was modeled as a homogeneous vibrating membrane from spectral theory for shape analysis (see References [ 33 , 34 ]), and therefore Equation (2) in Reference [ 35 ] described its harmonic behavior. The powerful Spectral methods used for solving differential equations played a crucial role in object representation, due to the pose-invariant-property of the Laplace–Beltrami operator.…”
Section: Methodsmentioning
confidence: 99%
“…It constitutes the foundations for geometric filtering or signal processing used in multi-resolution shape editing and mesh deformation. In recent years, mesh denoising has witnessed increasing demands in the computer graphics community [1], [2]. An important reason is that a large amount of original 3D data has emerged with the popularization of consumer-grade depth sensors and the various visual methods proposed for reconstructing 3D models [3]- [5].…”
Section: Introductionmentioning
confidence: 99%