| 000 -LEADER |
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| fixed length control field |
06373nam a2200757 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
7987902 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20200413152925.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
170721s2017 caua foab 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781681731407 |
| Qualifying information |
ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781681731391 |
| Qualifying information |
print |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.2200/S00781ED1V01Y201705VCP029 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(CaBNVSL)swl00407638 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)994268518 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
CaBNVSL |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
CaBNVSL |
| Modifying agency |
CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA448.D38 |
| Item number |
P275 2017 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516.00285 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Patanè, Giuseppe, |
| Dates associated with a name |
1974-, |
| Relator term |
author. |
| 245 13 - TITLE STATEMENT |
|---|
| Title |
An introduction to Laplacian spectral distances and kernels : |
| Remainder of title |
theory, computation, and applications / |
| Statement of responsibility, etc. |
Giuseppe Patanè. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
[San Rafael, California] : |
| Name of producer, publisher, distributor, manufacturer |
Morgan & Claypool, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2017. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 PDF (xxv, 113 pages) : |
| Other physical details |
illustrations. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
electronic |
| Source |
isbdmedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Synthesis lectures on visual computing, |
| International Standard Serial Number |
2469-4223 ; |
| Volume/sequential designation |
# 29 |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
System requirements: Adobe Acrobat Reader. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Part of: Synthesis digital library of engineering and computer science. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references (pages 93-112). |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Laplace-Beltrami operator -- 1.1 Discrete Laplacians and spectral properties -- 1.1.1 Laplacian on graphs, meshes, and volumes -- 1.1.2 Laplacian matrix of point sets -- 1.2 Harmonic equation -- 1.3 Laplacian eigenproblem -- 1.3.1 Discrete Laplacian eigenfunctions -- 1.3.2 Stability of the Laplacian spectrum -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
2. Heat and wave equations -- 2.1 Heat equation -- 2.1.1 Heat equation on surfaces and volumes -- 2.1.2 Optimal time value of the heat kernel -- 2.1.3 Comparison of the heat kernel at different scales -- 2.2 Wave equation -- 2.3 Discrete heat equation and kernel -- 2.3.1 Properties of the heat kernel -- 2.3.2 Linear independence of the heat kernel at different points and scales -- 2.4 Computation of the discrete heat kernel -- 2.4.1 Linear approximation -- 2.4.2 Polynomial approximation -- 2.4.3 Rational approximation -- 2.4.4 Special case: heat equation on volumes -- 2.5 Discussion -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
3. Laplacian spectral distances -- 3.1 Green kernel and linear operator -- 3.2 Laplacian spectral operator and kernel -- 3.2.1 Laplacian spectral kernel -- 3.2.2 Spectrum of the spectral operator -- 3.3 Laplacian spectral distances -- 3.3.1 Well-posedness of the spectral kernels and distances -- 3.3.2 Scale invariance and shape signatures -- 3.4 Main examples of spectral distances -- 3.4.1 Selection of the filter map -- 3.4.2 Diffusion distances -- 3.4.3 Commute-time and biharmonic distances -- 3.4.4 Geodesic and transportation distances via heat kernel -- 3.5 Spectrum-free approximation -- 3.5.1 Polynomial filter -- 3.5.2 Arbitrary filter: polynomial approximation -- 3.5.3 Arbitrary filter: rational approximation -- 3.5.4 Arbitrary filter: factorization of the rational approximation -- 3.5.5 Convergence and accuracy -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
4. Discrete spectral distances -- 4.1 Discrete spectral kernels and distances -- 4.2 Native spectral spaces -- 4.3 Computation of the spectral distances -- 4.3.1 Truncated approximation -- 4.3.2 Spectrum-free approximation -- 4.3.3 A unified spectrum-free computation -- 4.4 Discussion -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
5. Applications -- 5.1 Design of scalar functions with constrained critical points -- 5.2 Laplacian smoothing of scalar functions -- 5.2.1 Related work on smoothing -- 5.2.2 Unconstrained and constrained Laplacian smoothing of scalar functions -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
6. Conclusions -- Bibliography -- Author's biography. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
Abstract freely available; full-text restricted to subscribers or individual document purchasers. |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Compendex |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
INSPEC |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google scholar |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google book search |
| 520 3# - SUMMARY, ETC. |
|---|
| Summary, etc. |
In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute-time, biharmonic, diffusion, and wave distances. Within this context, this book is intended to provide a common background on the definition and computation of the Laplacian spectral kernels and distances for geometry processing and shape analysis. To this end, we define a unified representation of the isotropic and anisotropic discrete Laplacian operator on surfaces and volumes; then, we introduce the associated differential equations, i.e., the harmonic equation, the Laplacian eigenproblem, and the heat equation. Filtering the Laplacian spectrum, we introduce the Laplacian spectral distances, which generalize the commute-time, biharmonic, diffusion, and wave distances, and their discretization in terms of the Laplacian spectrum. As main applications, we discuss the design of smooth functions and the Laplacian smoothing of noisy scalar functions. All the reviewed numerical schemes are discussed and compared in terms of robustness, approximation accuracy, and computational cost, thus supporting the reader in the selection of the most appropriate with respect to shape representation, computational resources, and target application. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
|---|
| Additional physical form available note |
Also available in print. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Title from PDF title page (viewed on July 21, 2017). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Geometry |
| General subdivision |
Data processing. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Shapes |
| General subdivision |
Computer simulation |
| -- |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Computer graphics |
| General subdivision |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Laplacian operator. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Harmonic functions. |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Laplace-Beltrami operator |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Laplacian spectrum |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
harmonic equation |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Laplacian eigenproblem |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
heat equation |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
diffusion geometry |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Laplacian spectral distance and kernels |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
spectral geometry processing |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
shape analysis |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
numerical analysis |
| 655 #0 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| International Standard Book Number |
9781681731391 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis digital library of engineering and computer science. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis lectures on visual computing ; |
| Volume/sequential designation |
# 29. |
| International Standard Serial Number |
2469-4223 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to resource |
| Uniform Resource Identifier |
http://ieeexplore.ieee.org/servlet/opac?bknumber=7987902 |
