| 000 -LEADER |
|---|
| fixed length control field |
05558nam a2200769 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
7588213 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20200413152921.0 |
| 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 |
161021s2017 caua foab 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781627054676 |
| Qualifying information |
ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9781627059053 |
| Qualifying information |
paperback |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.2200/S00729ED1V01Y201608VCP025 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(CaBNVSL)gtp00566482 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)960760474 |
| 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 |
QA643 |
| Item number |
.K535 2017 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516.352 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Kiciak, Przemysław, |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Geometric continuity of curves and surfaces / |
| Statement of responsibility, etc. |
Przemysław Kiciak. |
| 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 (xv, 233 pages) : |
| Other physical details |
illustrations. |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Source |
rdacontent |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
still image |
| 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 |
# 25 |
| 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 221-225) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface -- Notation -- 1. Introduction -- 2. Geometric continuity of curves: 2.1. Equations of geometric continuity; 2.2. Interpretation; 2.3. Geometric spline curves; 2.4. Tensor product geometric spline patches -- 3. Pairs of surface patches: 3.1. Geometric continuity at a common boundary; 3.2. Interpretation; 3.3. A little bit of algebra; 3.4. Polynomial solutions of equations of geometric continuity; 3.5. Constructing pairs of patches; 3.6. Approximating smooth junctions -- 4. Compatibility conditions: 4.1. Hahn's scheme of filling polygonal holes; 4.2. Compatibility conditions at a common corner; 4.3. Compatibility conditions around a point; 4.4. Beyond the curvature continuity and towards practice -- 5. Filling polygonal holes: 5.1. Theoretical background; 5.2. Constructing function spaces; 5.3. Minimisation of quadratic forms; 5.4. Constructions with shape optimisation; 5.5. Conclusion -- 6. Images of surface shape: 6.1. Characteristic lines and shape functions; 6.2. Planar sections; 6.3. Isophotes; 6.4. Reflection lines; 6.5. Highlight lines; 6.6. Surface curvatures -- A. Background -- A.1. Lagrange and Hermite interpolation -- A.2. Bézier curves -- A.3. Bézier patches -- A.4. B-spline curves -- A.5. Tensor product B-spline patches -- A.6. Meshes and generalised B-spline surfaces -- A.7. Rational curves and patches -- A.8. Spline curves of interpolation -- A.9. Coons patches -- A.10. Curvatures of curves and surfaces -- A.11. Fàa di Bruno's formula -- Bibliography -- Author's biography -- Index. |
| 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 book is written for students, CAD system users and software developers who are interested in geometric continuity--a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. Textbooks on computer graphics usually cover the most basic and necessary information about spline curves and surfaces in order to explain simple algorithms. In textbooks on geometric design, one can find more details, more algorithms and more theory. This book teaches how various parts of the theory can be gathered together and turned into constructions of smooth curves and smooth surfaces of arbitrary topology. The mathematical background needed to understand this book is similar to what is necessary to read other textbooks on geometric design; most of it is basic linear algebra and analysis. More advanced mathematical material is introduced using elementary explanations. Reading Geometric Continuity of Curves and Surfaces provides an excellent opportunity to recall and exercise necessary mathematical notions and it may be your next step towards better practice and higher understanding of design principles. |
| 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 October 21, 2016). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Continuity. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Curves. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Surfaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Spline theory. |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
parametric curves and surfaces |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Bézier curves and patches |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
B-spline curves and patches |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Coons patches |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
cubic splines of interpolation |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
trigonometric spline functions |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
geometric splines |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
geometric continuity |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
modules |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
mesh refinement |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
compatibility conditions |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
filling polygonal holes |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
shape badness measures |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
shape optimisation |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
shape functions |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
shape visualisation |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Fàa di Bruno's formula |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| International Standard Book Number |
9781627059053 |
| 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 |
# 25. |
| 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=7588213 |
