Verfügbarkeit: Tutorials on multiresolution in geometric modelling

Tutorials on multiresolution in geometric modelling: summer school lecture notes

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Bibliographische Detailangaben
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 2002
Schriftenreihe:	Mathematics and visualization
Schlagworte:	Geometrische methoden Modellen Visualisatie Computer graphics Mehrskalenanalyse Geometrische Modellierung Konferenzschrift > 2001 > München
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	X, 421 S. Ill., graph. Darst.
ISBN:	3540436391

Internformat

MARC


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Datensatz im Suchindex

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adam_text	ARMIN ISKE EWALD QUAK MICHAEL S. FLOATER EDITORS TUTORIALS ON MULTIRESOLUTION IN GEOMETRIC MODELLING SUMMER SCHOOL LECTURE NOTES WITH 172 FIGURES, 4 IN COLOR SPRINGER CONTENTS PART I. SUBDIVISION SUBDIVISION OF BOX-SPLINES 3 MALCOLM SABIN 1 B-SPLINES 4 2 UNIVARIATE BOX-SPLINES 8 3 BIVARIATE BOX-SPLINES 12 4 FREEDOM OF TOPOLOGY 17 5 PROGRAMMING SUBDIVISION SCHEMES 21 6 BIBLIOGRAPHIC NOTES 22 REFERENCES 22 INTERPOLATORY SUBDIVISION SCHEMES 25 NIRA DYN 1 THE UNIVARIATE STATIONARY CASE 25 2 NON-STATIONARY UNIVARIATE INTERPOLATORY SCHEMES, EXACT FOR EXPONENTIALS 35 3 TENSOR-PRODUCT INTERPOLATORY SCHEMES FOR SURFACES 37 4 THE BUTTERFLY SCHEME - AN INTERPOLATORY SUBDIVISION SCHEME ON TRIANGULATIONS 39 5 BIBLIOGRAPHIC NOTES 43 REFERENCES 43 APPENDIX: SOLUTIONS OF SELECTED EXERCISES 45 ANALYSIS OF CONVERGENCE AND SMOOTHNESS BY THE FORMALISM OF LAURENT POLYNOMIALS 51 NIRA DYN 1 INTRODUCTION 51 2 ANALYSIS OF UNIVARIATE SCHEMES 52 3 ANALYSIS OF BIVARIATE SCHEMES WITH FACTORIZABLE SYMBOLS 58 4 BIBLIOGRAPHIC NOTES 63 REFERENCES 64 APPENDIX: SOLUTIONS OF SELECTED EXERCISES 65 EIGENANALYSIS AND ARTIFACTS OF SUBDIVISION CURVES AND SURFACES 69 MALCOLM SABIN 1 ANALYSIS OF CURVES 69 2 ANALYSIS OF SUBDIVISION SURFACES 79 3 BIBLIOGRAPHIC NOTES 89 REFERENCES 90 VIII CONTENTS NONLINEAR SUBDIVISION SCHEMES: APPLICATIONS TO IMAGE PROCESSING 93 ALBERT COHEN, BASARAB MATEI EXTENDED ABSTRACT 93 REFERENCES 97 PART II. WAVELETS NONUNIFORM B-SPLINES AND B-WAVELETS 101 EWALD QUAK 1 INTRODUCTION 101 2 B-SPLINES ON NONUNIFORM KNOT SEQUENCES 102 3 REFINEMENT OF B-SPLINES 112 4 A NONUNIFORM SPLINE MULTIRESOLUTION ANALYSIS 120 5 AN EXAMPLE: MULTIRESOLUTION ANALYSIS BASED ON PIECEWISE LINEAR SPLINES 125 6 NONUNIFORM B-WAVELETS 142 REFERENCES 145 BLAC WAVELETS AND NON-NESTED WAVELETS 147 GEORGES-PIERRE BONNEAU 1 INTRODUCTION 147 2 MULTIRESOLUTION ANALYSIS WITH NON-NESTED APPROXIMATING SPACES . . 147 3 BLAC WAVELETS 151 4 MULTIRESOLUTION ANALYSIS ON HIERARCHICAL TRIANGULATIONS 157 REFERENCES 162 MULTIRESOLUTION ON THE SPHERE 165 MATTHIAS CONRAD, JIIRGEN PRESTIN 1 INTRODUCTION 165 2 PRELIMINARIES 166 3 SPHERICAL HARMONICS 173 4 SPHERICAL BASIS FUNCTIONS 191 REFERENCES 200 PART III. SCATTERED DATA MODELLING SCATTERED DATA MODELLING USING RADIAL BASIS FUNCTIONS 205 ARMIN ISKE 1 INTRODUCTION 205 2 INTERPOLATION 207 3 OPTIMAL RECOVERY 210 4 POINTWISE OPTIMALITY 213 5 UNCERTAINTY PRINCIPLE 216 CONTENTS IX 6 OPTIMAL POINT SAMPLING 219 7 LEAST SQUARES APPROXIMATION 224 8 MULTILEVEL APPROXIMATION SCHEMES 227 9 SCATTERED DATA FILTERING 228 REFERENCES 233 APPENDIX: EXERCISES 236 SCATTERED DATA FITTING WITH BIVARIATE SPLINES 243 FRANK ZEILFELDER 1 INTRODUCTION 243 2 SPLINES 246 3 BERNSTEIN-BEZIER TECHNIQUES 251 4 DIMENSION OF BIVARIATE SPLINE SPACES 255 5 INTERPOLATION METHODS FOR BIVARIATE SPLINES 259 6 A DIRECT APPROXIMATION METHOD FOR BIVARIATE SPLINES 270 REFERENCES 276 APPENDIX: EXERCISES 284 PARAMETERIZATION OF TRIANGULATIONS AND UNORGANIZED POINTS . . 287 MICHAEL FLOATER, KAI HORMANN 1 INTRODUCTION 287 2 PARAMETERIZATION OF SIMPLE TRIANGULATIONS 288 3 PARAMETERIZATION BY LINEAR METHODS 291 4 CHOOSING THE WEIGHTS 293 5 PARAMETERIZATION BY WEIGHTED LEAST SQUARES 296 6 PARAMETERIZATION BY NON-LINEAR METHODS 298 7 REMESHING, SUBDIVISION CONNECTIVITY, AND MULTIRESOLUTION 305 8 PARAMETERIZATION OF UNORGANIZED POINTS 308 9 PARAMETERIZATION OF MANIFOLD TRIANGULATIONS 311 REFERENCES 314 PART IV. CODING AND DATA STRUCTURES SIMPLIFICATION AND COMPRESSION OF 3D MESHES 319 CRAIG GOTSMAN, STEFAN GUMHOLD, LEI} KOBBELT 1 INTRODUCTION 319 2 MESH DECIMATION TECHNIQUES 323 3 CONNECTIVITY CODING 334 4 COMPRESSION OF GEOMETRIC DATA 346 REFERENCES 356 APPENDIX: EXERCISES 360 X CONTENTS MULTIRESOLUTION MESH REPRESENTATION: MODELS AND DATA STRUCTURES 363 LEILA DE FLORIANI, PAOLA MAGILLO 1 INTRODUCTION 363 2 BACKGROUND NOTIONS 365 3 A REFERENCE FRAMEWORK FOR MULTIRESOLUTION MESHES 369 4 CLASSIFICATION OF MULTIRESOLUTION MESHES 375 5 LEVEL-OF-DETAIL (LOD) QUERIES ON A MULTIRESOLUTION MESH 387 6 GENERAL-PURPOSE DATA STRUCTURES FOR MULTIRESOLUTION MESHES 391 7 DATA STRUCTURES FOR NESTED MODELS 394 8 DATA STRUCTURES FOR NON-NESTED MODELS 397 9 CONCLUDING REMARKS 410 REFERENCES 411 APPENDIX: EXERCISES 417 INDEX 419
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discipline	Informatik Mathematik
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spelling	Tutorials on multiresolution in geometric modelling summer school lecture notes Armin Iske ... ed. Berlin [u.a.] Springer 2002 X, 421 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics and visualization Geometrische methoden gtt Modellen gtt Visualisatie gtt Computer graphics Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Geometrische Modellierung (DE-588)4156717-1 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2001 München gnd-content Geometrische Modellierung (DE-588)4156717-1 s Mehrskalenanalyse (DE-588)4416235-2 s DE-604 Iske, Armin Sonstige oth HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009809823&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Tutorials on multiresolution in geometric modelling summer school lecture notes Geometrische methoden gtt Modellen gtt Visualisatie gtt Computer graphics Mehrskalenanalyse (DE-588)4416235-2 gnd Geometrische Modellierung (DE-588)4156717-1 gnd
subject_GND	(DE-588)4416235-2 (DE-588)4156717-1 (DE-588)1071861417
title	Tutorials on multiresolution in geometric modelling summer school lecture notes
title_auth	Tutorials on multiresolution in geometric modelling summer school lecture notes
title_exact_search	Tutorials on multiresolution in geometric modelling summer school lecture notes
title_full	Tutorials on multiresolution in geometric modelling summer school lecture notes Armin Iske ... ed.
title_fullStr	Tutorials on multiresolution in geometric modelling summer school lecture notes Armin Iske ... ed.
title_full_unstemmed	Tutorials on multiresolution in geometric modelling summer school lecture notes Armin Iske ... ed.
title_short	Tutorials on multiresolution in geometric modelling
title_sort	tutorials on multiresolution in geometric modelling summer school lecture notes
title_sub	summer school lecture notes
topic	Geometrische methoden gtt Modellen gtt Visualisatie gtt Computer graphics Mehrskalenanalyse (DE-588)4416235-2 gnd Geometrische Modellierung (DE-588)4156717-1 gnd
topic_facet	Geometrische methoden Modellen Visualisatie Computer graphics Mehrskalenanalyse Geometrische Modellierung Konferenzschrift 2001 München
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009809823&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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