Spectral Geometry of Shapes

Written By Jing Hua
Spectral Geometry of Shapes
  • Publsiher : Academic Press
  • Release : 15 January 2020
  • ISBN : 0128138424
  • Pages : 195 pages
  • Rating : /5 from reviews
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Download or read book entitled Spectral Geometry of Shapes by author: Jing Hua which was release on 15 January 2020 and published by Academic Press with total page 195 pages . This book available in PDF, EPUB and Kindle Format. Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods, hence the need for this comprehensive resource. Presents the latest advances in spectral geometric processing for 3D shape analysis applications, such as shape classification, shape matching, medical imaging, etc. Provides intuitive links between fundamental geometric theories and real-world applications, thus bridging the gap between theory and practice Describes new theoretical breakthroughs in applying spectral methods for non-isometric motion analysis Gives insights for developing spectral geometry-based approaches for 3D shape analysis and deep learning of shape geometry

Spectral Geometry of Shapes

Spectral Geometry of Shapes
  • Author : Jing Hua,Zichun Zhong,Jiaxi Hu
  • Publisher : Academic Press
  • Release Date : 2019-10-24
  • Total pages : 152
  • ISBN : 0128138424
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Summary : Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who ...

Spectral Geometry of Shapes

Spectral Geometry of Shapes
  • Author : Jing Hua,Zichun Zhong
  • Publisher : Academic Press
  • Release Date : 2020-01-15
  • Total pages : 195
  • ISBN : 0128138424
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Summary : Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who ...

Shape Analysis Using Spectral Geometry

Shape Analysis Using Spectral Geometry
  • Author : Jiaxi Hu
  • Publisher : Unknown
  • Release Date : 2015
  • Total pages : 95
  • ISBN : 0128138424
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Summary : Finally we prove the shape spectrum is a continuous function to a scale function on the conformal factor of the manifold. The derivatives of the eigenvalues are analytically expressed with those of the scale function. The property applies to both continuous domain and discrete triangle meshes. On the triangle meshes, ...

Shape Optimization and Spectral Theory

Shape Optimization and Spectral Theory
  • Author : Antoine Henrot
  • Publisher : De Gruyter Open
  • Release Date : 2017-05-08
  • Total pages : 474
  • ISBN : 0128138424
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Summary : "Shape optimization and spectral theory" is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization. It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequalities and qualitative behaviour ...

The Application of Spectral Geometry to 3D Molecular Shape Comparison

The Application of Spectral Geometry to 3D Molecular Shape Comparison
  • Author : Matthew Seddon
  • Publisher : Unknown
  • Release Date : 2017
  • Total pages : 212
  • ISBN : 0128138424
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Summary : Read online The Application of Spectral Geometry to 3D Molecular Shape Comparison written by Matthew Seddon, published by which was released on 2017. Download full The Application of Spectral Geometry to 3D Molecular Shape Comparison Books now! Available in PDF, ePub and Kindle....

Dirac Operators and Spectral Geometry

Dirac Operators and Spectral Geometry
  • Author : Giampiero Esposito
  • Publisher : Cambridge University Press
  • Release Date : 1998-08-20
  • Total pages : 209
  • ISBN : 0128138424
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Summary : A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students and researchers....

Old and New Aspects in Spectral Geometry

Old and New Aspects in Spectral Geometry
  • Author : M.-E. Craioveanu,Mircea Puta,Themistocles RASSIAS
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • Total pages : 446
  • ISBN : 0128138424
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Summary : It is known that to any Riemannian manifold (M, g ) , with or without boundary, one can associate certain fundamental objects. Among them are the Laplace-Beltrami opera tor and the Hodge-de Rham operators, which are natural [that is, they commute with the isometries of (M,g)], elliptic, self-adjoint second order differential ...

On Perturbative Methods in Spectral Geometry

On Perturbative Methods in Spectral Geometry
  • Author : Mikhail Panine
  • Publisher : Unknown
  • Release Date : 2017
  • Total pages : 122
  • ISBN : 0128138424
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Summary : The goal of spectral geometry is to establish how much information about the geometry of compact Riemannian manifolds is contained in the spectra of natural differential operators, especially Laplacians, defined on them. Ideally, one would like to be able to recover the Riemannian manifold, up to isometry, from the spectra ...

Old and New Aspects in Spectral Geometry

Old and New Aspects in Spectral Geometry
  • Author : M. -E. Craioveanu,Mircea Puta,Themistocles Rassias
  • Publisher : Unknown
  • Release Date : 2014-01-15
  • Total pages : 460
  • ISBN : 0128138424
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Summary : Read online Old and New Aspects in Spectral Geometry written by M. -E. Craioveanu,Mircea Puta,Themistocles Rassias, published by which was released on 2014-01-15. Download full Old and New Aspects in Spectral Geometry Books now! Available in PDF, ePub and Kindle....

The Geometry of Walker Manifolds

The Geometry of Walker Manifolds
  • Author : Miguel Brozos-Vázquez
  • Publisher : Morgan & Claypool Publishers
  • Release Date : 2009
  • Total pages : 159
  • ISBN : 0128138424
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Summary : Basic algebraic notions -- Introduction -- A historical perspective in the algebraic context -- Algebraic preliminaries -- Jordan normal form -- Indefinite geometry -- Algebraic curvature tensors -- Hermitian and para-Hermitian geometry -- The Jacobi and skew symmetric curvature operators -- Sectional, Ricci, scalar, and Weyl curvature -- Curvature decompositions ...

Spectral Geometric Methods for Deformable 3D Shape Retrieval

Spectral Geometric Methods for Deformable 3D Shape Retrieval
  • Author : Chunyuan Li
  • Publisher : Unknown
  • Release Date : 2013
  • Total pages : 212
  • ISBN : 0128138424
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Summary : Read online Spectral Geometric Methods for Deformable 3D Shape Retrieval written by Chunyuan Li, published by which was released on 2013. Download full Spectral Geometric Methods for Deformable 3D Shape Retrieval Books now! Available in PDF, ePub and Kindle....

Applications of Representation Theory to Dynamics and Spectral Geometry

Applications of Representation Theory to Dynamics and Spectral Geometry
  • Author : Craig J. Sutton
  • Publisher : Unknown
  • Release Date : 2001
  • Total pages : 212
  • ISBN : 0128138424
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Summary : Read online Applications of Representation Theory to Dynamics and Spectral Geometry written by Craig J. Sutton, published by which was released on 2001. Download full Applications of Representation Theory to Dynamics and Spectral Geometry Books now! Available in PDF, ePub and Kindle....

Geometric Approaches for 3D Shape Denoising and Retrieval

Geometric Approaches for 3D Shape Denoising and Retrieval
  • Author : Anis Kacem
  • Publisher : Unknown
  • Release Date : 2013
  • Total pages : 212
  • ISBN : 0128138424
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Summary : Read online Geometric Approaches for 3D Shape Denoising and Retrieval written by Anis Kacem, published by which was released on 2013. Download full Geometric Approaches for 3D Shape Denoising and Retrieval Books now! Available in PDF, ePub and Kindle....

Steklov Geometry Processing

Steklov Geometry Processing
  • Author : Wang Yu (S.M.)
  • Publisher : Unknown
  • Release Date : 2018
  • Total pages : 80
  • ISBN : 0128138424
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Summary : We propose using the Dirichlet-to-Neumann operator as an extrinsic alternative to the Laplacian for spectral geometry processing and shape analysis. Intrinsic approaches, usually based on the Laplace-Beltrami operator, cannot capture the spatial embedding of a shape up to rigid motion, and many previous extrinsic methods lack theoretical justification. Instead, we ...

On Infinitesimal Inverse Spectral Geometry

On Infinitesimal Inverse Spectral Geometry
  • Author : Eduardo Dos Santos Lobo Brandao
  • Publisher : Unknown
  • Release Date : 2011
  • Total pages : 99
  • ISBN : 0128138424
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Summary : Spectral geometry is the field of mathematics which concerns relationships between geometric structures of manifolds and the spectra of canonical differential operators. Inverse Spectral Geometry in particular concerns the geometric information that can be recovered from the knowledge of such spectra. A deep link between inverse spectral geometry and sampling ...