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Computer-Aided Geometric Design [chapter]

Gerald Farin
<span title="1998-12-29">1998</span> <i title="CRC Press"> Handbook of Grid Generation </i> &nbsp;
Fast approach for computing roots of polynomials using cubic clipping.  ...  Acknowledgement This work is supported by the joint grant by National Natural Science Foundation of China and Microsoft Research Asia (No. 60776799).  ...  Fast approach for computing roots of polynomials using cubic clipping. Computer Aided Geometric Design (2009), doi:10.1016/j.cagd.2009.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1201/9781420050349.ch28">doi:10.1201/9781420050349.ch28</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cfu6kuwt3zcjbeucys5aocewt4">fatcat:cfu6kuwt3zcjbeucys5aocewt4</a> </span>
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The short review of Gerald Farin's book «Curves and Surfaces for CAGD. A Practical Guide (5th edition), Morgan-Kaufmann, 2002, ISBN 1-55860-737-4»

Rushan Ziatdinov
<span title="">2013</span> <i title="Academic Publishing House Researcher"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5dhjwzatbbbnhovmtdf7c6be4e" style="color: black;">Evropejskij Issledovatelʹ</a> </i> &nbsp;
Краткий обзор книги Джералда Фарина «Curves and Surfaces for CAGD.  ...  European Researcher, 2013, Vol.(46), № 4-2 UDC 51-74 The short review of Gerald Farin's book «Curves and Surfaces for CAGD.  ... 
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Page 21 of Electronic Publishing Vol. 5, Issue 2 [page]

<span title="">1992</span> <i title="John Wiley &amp; Sons, Inc."> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_electronic-publishing" style="color: black;">Electronic Publishing</a> </i> &nbsp;
Gerald Farin, Curves and Surfaces for Computer Aided Geometric Design, Academic Press, San Diego, CA, 1982.  ...  TEACHING DIGITAL TYPOGRAPHY Carl de Boor, A Practical Guide to Splines, Springer Verlag, New York, 1978.  ... 
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Page 50 of Journal of Research and Practice in Information Technology Vol. 27, Issue 2 [page]

<span title="">1995</span> <i title="Australian Computer Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_journal-of-research-practice-information-technology" style="color: black;">Journal of Research and Practice in Information Technology </a> </i> &nbsp;
., MEHAUTE, A. and SCHUMAKER., L . (ed. ) (1994): Curves and Surfaces in Geometric Design, AK Peters, Ltd., 490pp.  ...  NIELSEN, J . ( 1995 ): Multimedia and Hypertext: The Internet and Beyond, AP Professional, 479pp. FARIN, Gerald (1995): NURB Curves and Surfaces, AK Peters, 229pp.  ... 
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Page 3198 of Mathematical Reviews Vol. , Issue 97E [page]

<span title="">1997</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
(1-AZS-C; Tempe, AZ) * Curves and surfaces for computer-aided geometric design.  ...  A practical guide. Fourth edition. Chapter | by P. Bézier; Chapters 11 and 22 by W. Boehm. With | IBM-PC floppy disk (3.5 inch; HD). Computer Science and Scientific Computing.  ... 
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Page 6296 of Mathematical Reviews Vol. , Issue 93k [page]

<span title="">1993</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Yu Yu Feng (PRC-HEF) 93k:65016 65D17 65Dxx 65Nxx Farin, Gerald (1-AZS-C) * Curves and surfaces for computer aided geometric design. (English. English summary) A practical guide. Third edition.  ...  (E-ZRGZ-AM) Dual Bézier curves and convexity preserving interpolation. (English summary) Comput. Aided Geom. Design 9 (1992), no. 6, 435-445.  ... 
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Page 1724 of Mathematical Reviews Vol. , Issue 90C [page]

<span title="">1990</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
, Gerald (1-AZS) * Curves and surfaces for computer aided geometric design.  ...  ISBN 0-12-249050-9 This is a valuable guide to the use of piecewise curves and surfaces in geometric design. It concentrates on the geometric aspects of the problem.  ... 
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The effects of computer assisted and distance learning of geometric modelling [article]

Omer Faruk Sozcu, Rushan Ziatdinov, Ismail Ipek
<span title="2013-05-10">2013</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The effects of computer-assisted and distance learning of geometric modeling and computer aided geometric design are studied.  ...  It was shown that computer algebra systems and dynamic geometric environments can be considered as excellent tools for teaching mathematical concepts of mentioned areas, and distance education technologies  ...  Gerald Farin. (2002). Curves and Surfaces for CAGD: A Practical Guide, 5th edition, Morgan-Kaufmann, USA. 4. Hohenwarter, M. and Fuchs, K. (2004).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1305.2276v1">arXiv:1305.2276v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dibmezimvjb7vhbsa26iczbrdy">fatcat:dibmezimvjb7vhbsa26iczbrdy</a> </span>
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Page 5079 of Mathematical Reviews Vol. , Issue 911 [page]

<span title="">1991</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Shou Shan Jiang (Xi’an) 65D Numerical approximation 911:65040 91i:65036 65D17 65Dxx 65Nxx Farin, Gerald (1-AZS-C) * Curves and surfaces for computer aided geometric design. A practical guide.  ...  For a set of scattered 2D data, Delaunay triangulation provides an efficient method for treating closest point problems and other computational geometric problems such as surface fitting.  ... 
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Subdivision Based Interpolation with Shape Control

Fengtao Fan, Fuhua (Frank) Cheng, Shuhua Lai
<span title="">2008</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pi3hyyuwnfg5dd3mhrjdei4nj4" style="color: black;">Computer-Aided Design and Applications</a> </i> &nbsp;
It is proved that the progressive interpoaltion process converges for any parameters between ¼ and ½. Therefore, this is a well-defined process.  ...  The interpolation is a progressive process which iteratively updates the given mesh, through a two-phase Doo-Sabin subdivision scheme, until a control mesh whose limit surface interpolates the given mesh  ...  Acknowledgement Research work presented in this paper is supported by NSF (DMI-0422126) and KSTC (COMM-Fund-712).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3722/cadaps.2008.539-547">doi:10.3722/cadaps.2008.539-547</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mybtqlhm3nbwra2lebevukttty">fatcat:mybtqlhm3nbwra2lebevukttty</a> </span>
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08221 Abstracts Collection – Geometric Modeling

Gerald Farin, Stefanie Hahmann, Jörg Peters, Wenping Wang
<span title="2008-06-25">2008</span>
From May 26 to May 30 2008 the Dagstuhl Seminar 08221 "Geometric Modeling" was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl.  ...  During the seminar, several participants presented their current research, and ongoing work and open problems were discussed.  ...  Sakai, Inflection points and singularities on planar rational cubic curve segments, Computer Aided Geometric Design, 16, 149-156, 1999 .  ... 
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Reviews and Descriptions of Tables and Books

<span title="1993-01-01">1993</span> <i title="American Mathematical Society (AMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5bz4zmidbngqxk6yv4msbkm54u" style="color: black;">Mathematics of Computation</a> </i> &nbsp;
in the computer used.  ...  In the case of the standard finite element method for an elliptic boundary value problem, the approximation error is the error between the exactly computed solution of the discretized problem and the continuous  ...  -Gerald Farin (Editor), NURBS for Curve and Surface Design, SIAM, Philadelphia, PA, 1991, ix + 161 pp., 25^ cm.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1090/s0025-5718-93-99738-4">doi:10.1090/s0025-5718-93-99738-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bf235cgq5ffujil2mhv6ydmiwu">fatcat:bf235cgq5ffujil2mhv6ydmiwu</a> </span>
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Reviews and Descriptions of Tables and Books

<span title="">1990</span> <i title="American Mathematical Society (AMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5bz4zmidbngqxk6yv4msbkm54u" style="color: black;">Mathematics of Computation</a> </i> &nbsp;
Introductory facts about general curves and surfaces, leading to appropriate representations and data structures for them, and followed by fundamental algorithmic paradigms for manipulating those representations  ...  The book lacks a binding theme and comes across as a potpourri of facts, piled one upon the other. A more modular approach would be highly desirable.  ...  -Gerald Farin, Curves and Surfaces for Computer Aided Geometric Design-A Practical Guide, Computer Science and Scientific Computing, Academic Press, Boston, 1988, xv + 334 pp., 23 \ cm. Price $39.95.  ... 
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Page 1301 of Mathematical Reviews Vol. , Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
., 97m:65006 Farin, Gerald *% Curves and surfaces for computer-aided geometric design. 97e:65022 Ferziger, Joel H. (with Peri¢, Milovan) *& Computational methods for fluid dynamics.  ...  (English summary) 97g:65013 Fornberg, Bengt * A practical guide to pseudospectral methods. 97g:65001 Gradshtein, 1.S. (with Ryzhik, 1.  ... 
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Page 334 of Mathematical Reviews Vol. , Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Lawrynowicz) 91¢:83008 83C22 (83C40) Farin, Gerald *% Curves and surfaces for computer aided geometric design. A practical guide. With contributions by P. Bézier and W. Boehm. Second edition.  ...  Curves and surfaces in CAGD °89 (Oberwolfach, 1989). Comput. Aided Geom. Design 7 (1990), no. 1-4, 281-292. (Summary) 91g:65037 65D17 — (with Worsey, A. J.)  ... 
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