| 000 -LEADER |
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| fixed length control field |
05044nam a2200709 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
6949411 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20200413152915.0 |
| 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 |
141119s2014 caua foab 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781627054454 |
| Qualifying information |
ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781627054447 |
| Qualifying information |
print |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.2200/S00599ED1V01Y201409CGR017 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(CaBNVSL)swl00404340 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)896433954 |
| 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 |
T385 |
| Item number |
.A534 2014 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
006.6869 |
| Edition number |
23 |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
|---|
| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
|
| Local cutter number (OCLC) ; Book number/undivided call number, CALL (RLIN) |
MoCl |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Anjyo, Ken., |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Mathematical basics of motion and deformation in computer graphics / |
| Statement of responsibility, etc. |
Ken Anjyo, Hiroyuki Ochiai. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
San Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) : |
| Name of producer, publisher, distributor, manufacturer |
Morgan & Claypool, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2014. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 PDF (xii, 71 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 computer graphics and animation, |
| International Standard Serial Number |
1933-9003 ; |
| Volume/sequential designation |
# 17 |
| 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 65-69). |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Introduction -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
2. Rigid transformation -- 2.1 Translation in 2D -- 2.2 Rotation in 2D -- 2.3 Rigid transformation in 2D -- 2.4 Reflections in 2D -- 2.5 3D rotation: axis-angle -- 2.6 3D rotation: Euler angle -- 2.7 3D rotation: quaternion -- 2.8 Dual quaternion -- 2.9 Using complex numbers -- 2.10 Dual complex numbers -- 2.11 Homogeneous expression of rigid transformations -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
3. Affine transformation -- 3.1 Several classes of transformations -- 3.2 Semidirect product -- 3.3 Decomposition of the set of matrices -- 3.3.1 Polar decomposition -- 3.3.2 Diagonalization of positive definite symmetric matrix -- 3.3.3 Singular value decomposition (SVD) -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
4. Exponential and logarithm of matrices -- 4.1 Exponential: definitions and basic properties -- 4.2 Lie algebra -- 4.3 Exponential map from Lie algebra -- 4.4 Another definition of Lie algebra -- 4.5 Lie algebra and decomposition -- 4.6 Loss of continuity: singularities of the exponential map -- 4.7 The field of blending -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
5. 2D affine transformation between two triangles -- 5.1 Triangles and an affine transformation -- 5.2 Comparison of three interpolation methods -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
6. Global 2D shape interpolation -- 6.1 Local to global -- 6.2 Formulation -- 6.3 Error function for global interpolation -- 6.4 Examples of local error functions -- 6.5 Examples of constraint functions -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
7. Parametrizing 3D positive affine transformations -- 7.1 The parametrization map and its inverse -- 7.2 Deformer applications -- 7.3 Integrating with Poisson mesh editing -- 7.3.1 The Poisson edits -- 7.3.2 Harmonic guidance -- 7.3.3 The parametrization map for Poisson mesh editing -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
8. Further readings -- Bibliography -- Authors' biographies. |
| 506 1# - 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. |
This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation. |
| 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 November 19, 2014). |
| 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 |
Computer animation |
| General subdivision |
Mathematics. |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
motion |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
deformation |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
quaternion |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Lie group |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Lie algebra |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ochiai, Hiroyuki, |
| Dates associated with a name |
1965-, |
| Relator term |
author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| International Standard Book Number |
9781627054447 |
| 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 in computer graphics and animation ; |
| Volume/sequential designation |
# 17. |
| International Standard Serial Number |
1933-9003 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to full text |
| Uniform Resource Identifier |
http://dx.doi.org/10.2200/S00599ED1V01Y201409CGR017 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to resource |
| Uniform Resource Identifier |
http://ieeexplore.ieee.org/servlet/opac?bknumber=6949411 |
