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Mathematical methods in computer aided geometric design /

Mathematical Methods in Computer Aided Geometric Design.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Lyche, Tom, Schumaker, Larry L., 1939-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston : Academic Press, �1989.
Temas:
Acceso en línea:Texto completo

MARC

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008 100802s1989 mauaf ob 100 0 eng d
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019 |a 1057947964  |a 1100933035 
020 |a 9780124605152  |q (electronic bk.) 
020 |a 012460515X  |q (electronic bk.) 
020 |a 9781483257808  |q (e-book) 
020 |a 1483257800 
020 |z 0126330751 
020 |z 9780126330755 
035 |a (OCoLC)652275488  |z (OCoLC)1057947964  |z (OCoLC)1100933035 
050 4 |a QA448.D38  |b M38 1989 
082 0 4 |a 516/.15/0285  |2 20 
084 |a QH 500  |2 rvk 
084 |a SS 1988  |2 rvk 
245 0 0 |a Mathematical methods in computer aided geometric design /  |c edited by Tom Lyche, Larry L. Schumaker. 
260 |a Boston :  |b Academic Press,  |c �1989. 
300 |a 1 online resource (xv, 611 pages, 4 unnumbered pages of plates) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a Front Cover; Mathematical Methods in Computer Aided Geometric Design; Copyright Page; Table of Contents; PREFACE; PARTICIPANTS; Chapter 1. Scattered Data Interpolation in Three or More Variables; 1. Introduction; 2. Rendering of Trivariate Functions; 3. Tensor Product Schemes; 4. Point Schemes; 5. Natural Neighbor Interpolation; 6. k-dimensional Triangulations; 7. Tetrahedral Schemes; 8. Simplicial Schemes; 9. Multivariate Splines; 10. Transfinite Hypercubal Methods; 11. Derivative Generation; 12. Interpolation on the sphere and other surfaces; 13. Conclusions; Acknowledgments 
505 8 |a Chapter 5. Three Examples of Dual Properties of B�ezier Curves1. Introduction; 2. Example 1. Degree Elevation and Differentiation; 3. Example 2. Transformations to and from Monomial Form; 4. Example 3. de Casteljau and Horner Evaluation; 5. Concluding Remarks; References; Chapter 6. What is the Natural Generalization of a B�ezier Curve?; 1. Introduction; 2. The Canonical Split; 3. B-Spline Properties; 4. P�olya Properties; 5. Shared Properties and Dual Properties; 6. Conclusions; References 
505 8 |a Chapter 7. Convexity and a Multidimensional Version of the Variation Diminishing Property of Bernstein Polynomials1. Notation and Definitions; 2. Piecewise Linear Surface Over a Convex Polyhedron; 3. Variation Diminishing Property of Bernstein Polynomials; Acknowledgment; References; Chapter 8. Gr�obner Basis Methods for Multivariate Splines; 1. Dimensions of Spline Spaces; 2. Gr�obner Bases; 3. Computing Dimension Series and Bases of Splines; 4. Example and Discussion; References; Chapter 9. On Finite Element Interpolation Problems; 1. Introduction; 2. Interpolation Systems in IR 
505 8 |a 3. Interpolation Problem Associated to an Interpolation System4. Argyris Triangle; 5. Construction of the Solution of the Interpolation Problem; 6. Basic Functions for the Argyris Triangle; References; Chapter 10. The Design of Curves and Surfaces by Subdivision Algorithms; 1. Introduction; 2. The Algorithms of de Casteljau and Chaikin; 3. De Rham's Construction of Certain Planar Curves; 4. Algorithms for Surfaces; 5. The Subdivision Algorithm for Bernstein-B�ezier Curves; 6. Subdivision Algorithms for Univariate Spline Functions; 7. Cube Splines and the Line Average Algorithm 
520 |a Mathematical Methods in Computer Aided Geometric Design. 
650 0 |a Geometry  |x Data processing  |v Congresses. 
650 6 |a G�eom�etrie  |0 (CaQQLa)201-0254783  |x Informatique  |0 (CaQQLa)201-0254783  |v Congr�es.  |0 (CaQQLa)201-0378219 
650 7 |a Geometry  |x Data processing  |2 fast  |0 (OCoLC)fst00940870 
650 7 |a Algorithmische Geometrie  |2 gnd  |0 (DE-588)4130267-9 
650 7 |a Computergrafik  |2 gnd  |0 (DE-588)4010450-3 
650 7 |a Datenverarbeitung  |2 gnd  |0 (DE-588)4011152-0 
650 7 |a Geometrische Modellierung  |2 gnd  |0 (DE-588)4156717-1 
650 7 |a Kongress  |2 gnd  |0 (DE-588)4130470-6 
650 7 |a Spline-Approximation  |2 gnd  |0 (DE-588)4182394-1 
650 7 |a Mathematik  |2 gnd  |0 (DE-588)4037944-9 
650 7 |a G�eom�etrie  |x Informatique  |x Congr�es.  |2 ram 
653 0 |a Geometry  |a Use of  |a Computers 
655 0 |a Oslo (1988) 
655 2 |a Congress  |0 (DNLM)D016423 
655 7 |a proceedings (reports)  |2 aat  |0 (CStmoGRI)aatgf300027316 
655 7 |a Conference papers and proceedings  |2 fast  |0 (OCoLC)fst01423772 
655 7 |a Conference papers and proceedings.  |2 lcgft 
655 7 |a Actes de congr�es.  |2 rvmgf  |0 (CaQQLa)RVMGF-000001049 
655 7 |a Oslo (1988)  |2 swd 
700 1 |a Lyche, Tom. 
700 1 |a Schumaker, Larry L.,  |d 1939- 
776 0 8 |i Print version:  |t Mathematical methods in computer aided geometric design.  |d Boston : Academic Press, �1989  |w (DLC) 89032842  |w (OCoLC)19627320 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780124605152  |z Texto completo