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The NURBS book:

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Bibliographic Details
Main Authors:	Piegl, Les A. (Author), Tiller, Wayne (Author)
Format:	Book
Language:	German
Published:	Berlin [u.a.] Springer 1997
Edition:	2. ed.
Series:	Monographs in visual communications
Subjects:	Geometrische Modellierung - NURBS Datenverarbeitung Computer-aided design Spline theory > Data processing Geometrische Modellierung NURBS
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 629 - 638
Physical Description:	XIV, 646 S. graph. Darst.
ISBN:	3540615458 3540550690

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MARC


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Record in the Search Index

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adam_text	LES PIEGL WAYNE TILLER THE NURBS BOOK SECOND EDITION WITH 334 FIGURES IN 578 PARTS A) SPRINGER CONTENTS CHAPTER ONE CURVE AND SURFACE BASICS 1.1 IMPLICIT AND PARAMETRIC FORMS 1 1.2 POWER BASIS FORM OF A CURVE 5 1.3 BEZIER CURVES 9 1.4 RATIONAL BEZIER CURVES 25 1.5 TENSOR PRODUCT SURFACES 34 EXERCISES 43 CHAPTER TWO B-SPLINE BASIS FUNCTIONS 2.1 INTRODUCTION 47 2.2 DEFINITION AND PROPERTIES OF B-SPLINE BASIS FUNCTIONS 50 2.3 DERIVATIVES OF B-SPLINE BASIS FUNCTIONS 59 2.4 FURTHER PROPERTIES OF THE BASIS FUNCTIONS 63 2.5 COMPUTATIONAL ALGORITHMS 67 EXERCISES 78 CHAPTER THREE B-SPLINE CURVES AND SURFACES 3.1 INTRODUCTION 81 3.2 THE DEFINITION AND PROPERTIES OF B-SPLINE CURVES 81 3.3 THE DERIVATIVES OF A B-SPLINE CURVE 91 3.4 DEFINITION AND PROPERTIES OF B-SPLINE SURFACES 100 3.5 DERIVATIVES OF A B-SPLINE SURFACE 110 EXERCISES 116 CHAPTER FOUR RATIONAL B-SPLINE CURVES AND SURFACES 4.1 INTRODUCTION 117 4.2 DEFINITION AND PROPERTIES OF NURBS CURVES 117 4.3 DERIVATIVES OF A NURBS CURVE 125 4.4 DEFINITION AND PROPERTIES OF NURBS SURFACES 128 4.5 DERIVATIVES OF A NURBS SURFACE 136 EXERCISES 138 XII CONTENTS CHAPTER FIVE FUNDAMENTAL GEOMETRIC ALGORITHMS 5.1 INTRODUCTION 141 5.2 KNOT INSERTION 141 5.3 KNOT REFINEMENT 162 5.4 KNOT REMOVAL 179 5.5 DEGREE ELEVATION 188 5.6 DEGREE REDUCTION 212 EXERCISES 227 CHAPTER SIX ADVANCED GEOMETRIC ALGORITHMS 6.1 POINT INVERSION AND PROJECTION FOR CURVES AND SURFACES . . . . 229 6.2 SURFACE TANGENT VECTOR INVERSION 235 6.3 TRANSFORMATIONS AND PROJECTIONS OF CURVES AND SURFACES . . . . 236 6.4 REPARAMETERIZATION OF NURBS CURVES AND SURFACES 241 6.5 CURVE AND SURFACE REVERSAL 263 6.6 CONVERSION BETWEEN B-SPLINE AND PIECEWISE POWER BASIS FORMS . 265 EXERCISES 279 CHAPTER SEVEN CONIES AND CIRCLES 7.1 INTRODUCTION 281 7.2 VARIOUS FORMS FOR REPRESENTING CONIES 281 7.3 THE QUADRATIC RATIONAL BEZIER ARC 291 7.4 INFINITE CONTROL POINTS 295 7.5 CONSTRUCTION OF CIRCLES 298 7.6 CONSTRUCTION OF CONIES 310 7.7 CONIC TYPE CLASSIFICATION AND FORM CONVERSION 320 7.8 HIGHER ORDER CIRCLES 326 EXERCISES 330 CHAPTER EIGHT CONSTRUCTION OF COMMON SURFACES 8.1 INTRODUCTION 333 8.2 BILINEAR SURFACES 333 8.3 THE GENERAL CYLINDER 334 8.4 THE RULED SURFACE 337 8.5 THE SURFACE OF REVOLUTION 340 8.6 NONUNIFORM SCALING OF SURFACES 348 8.7 A THREE-SIDED SPHERICAL SURFACE 351 CHAPTER NINE CURVE AND SURFACE FITTING 9.1 INTRODUCTION 361 9.2 GLOBAL INTERPOLATION 364 9.2.1 GLOBAL CURVE INTERPOLATION TO POINT DATA 364 9.2.2 GLOBAL CURVE INTERPOLATION WITH END DERIVATIVES SPECIFIED . 370 9.2.3 CUBIC SPLINE CURVE INTERPOLATION 371 CONTENTS XIII 9.2.4 GLOBAL CURVE INTERPOLATION WITH FIRST DERIVATIVES SPECIFIED . 373 9.2.5 GLOBAL SURFACE INTERPOLATION 376 9.3 LOCAL INTERPOLATION 382 9.3.1 LOCAL CURVE INTERPOLATION PRELIMINARIES 382 9.3.2 LOCAL PARABOLIC CURVE INTERPOLATION 388 9.3.3 LOCAL RATIONAL QUADRATIC CURVE INTERPOLATION 392 9.3.4 LOCAL CUBIC CURVE INTERPOLATION 395 9.3.5 LOCAL BICUBIC SURFACE INTERPOLATION 399 9.4 GLOBAL APPROXIMATION 405 9.4.1 LEAST SQUARES CURVE APPROXIMATION 410 9.4.2 WEIGHTED AND CONSTRAINED LEAST SQUARES CURVE FITTING . . . 413 9.4.3 LEAST SQUARES SURFACE APPROXIMATION 419 9.4.4 APPROXIMATION TO WITHIN A SPECIFIED ACCURACY 424 9.5 LOCAL APPROXIMATION 437 9.5.1 LOCAL RATIONAL QUADRATIC CURVE APPROXIMATION 438 9.5.2 LOCAL NONRATIONAL CUBIC CURVE APPROXIMATION 441 EXERCISES 452 CHAPTER TEN ADVANCED SURFACE CONSTRUCTION TECHNIQUES 10.1 INTRODUCTION 455 10.2 SWUNG SURFACES 455 10.3 SKINNED SURFACES 457 10.4 SWEPT SURFACES 472 10.5 INTERPOLATION OF A BIDIRECTIONAL CURVE NETWORK 485 10.6 COONS SURFACES 496 CHAPTER ELEVEN SHAPE MODIFICATION TOOLS 11.1 INTRODUCTION 509 11.2 CONTROL POINT REPOSITIONING 511 11.3 WEIGHT MODIFICATION 518 11.3.1 MODIFICATION OF ONE CURVE WEIGHT 520 11.3.2 MODIFICATION OF TWO NEIGHBORING CURVE WEIGHTS 526 11.3.3 MODIFICATION OF ONE SURFACE WEIGHT 531 11.4 SHAPE OPERATORS 533 11.4.1 WARPING 533 11.4.2 FLATTENING 542 11.4.3 BENDING 547 11.5 CONSTRAINT-BASED CURVE AND SURFACE SHAPING 555 11.5.1 CONSTRAINT-BASED CURVE MODIFICATION 555 11.5.2 CONSTRAINT-BASED SURFACE MODIFICATION 562 CHAPTER TWELVE STANDARDS AND DATA EXCHANGE 12.1 INTRODUCTION 571 12.2 KNOT VECTORS 571 12.3 NURBS WITHIN THE STANDARDS 580 XIV CONTENTS 12.3.1 IGES 580 12.3.2 STEP 583 12.3.3 PHIGS 585 12.4 DATA EXCHANGE TO AND FROM A NURBS SYSTEM 586 CHAPTER THIRTEEN B-SPLINE PROGRAMMING CONCEPTS 13.1 INTRODUCTION 593 13.2 DATA TYPES AND PORTABILITY 594 13.3 DATA STRUCTURES 596 13.4 MEMORY ALLOCATION 601 13.5 ERROR CONTROL 607 13.6 UTILITY ROUTINES 613 13.7 ARITHMETIC ROUTINES 616 13.8 EXAMPLE PROGRAMS 618 13.9 ADDITIONAL STRUCTURES 623 13.10 SYSTEM STRUCTURE 626 REFERENCES 629 INDEX 641
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author	Piegl, Les A. Tiller, Wayne
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ctrlnum	(OCoLC)299855637 (DE-599)BVBBV011026209
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discipline	Maschinenbau / Maschinenwesen Informatik
edition	2. ed.
format	Book
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indexdate	2024-07-09T18:02:48Z
institution	BVB
isbn	3540615458 3540550690
language	German
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-007382736
oclc_num	299855637
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series2	Monographs in visual communications
spelling	Piegl, Les A. Verfasser aut The NURBS book Les Piegl ; Wayne Tiller 2. ed. Berlin [u.a.] Springer 1997 XIV, 646 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs in visual communications Literaturverz. S. 629 - 638 Geometrische Modellierung - NURBS Datenverarbeitung Computer-aided design Spline theory Data processing Geometrische Modellierung (DE-588)4156717-1 gnd rswk-swf NURBS (DE-588)4376916-0 gnd rswk-swf NURBS (DE-588)4376916-0 s DE-604 Geometrische Modellierung (DE-588)4156717-1 s Tiller, Wayne Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007382736&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Piegl, Les A. Tiller, Wayne The NURBS book Geometrische Modellierung - NURBS Datenverarbeitung Computer-aided design Spline theory Data processing Geometrische Modellierung (DE-588)4156717-1 gnd NURBS (DE-588)4376916-0 gnd
subject_GND	(DE-588)4156717-1 (DE-588)4376916-0
title	The NURBS book
title_auth	The NURBS book
title_exact_search	The NURBS book
title_full	The NURBS book Les Piegl ; Wayne Tiller
title_fullStr	The NURBS book Les Piegl ; Wayne Tiller
title_full_unstemmed	The NURBS book Les Piegl ; Wayne Tiller
title_short	The NURBS book
title_sort	the nurbs book
topic	Geometrische Modellierung - NURBS Datenverarbeitung Computer-aided design Spline theory Data processing Geometrische Modellierung (DE-588)4156717-1 gnd NURBS (DE-588)4376916-0 gnd
topic_facet	Geometrische Modellierung - NURBS Datenverarbeitung Computer-aided design Spline theory Data processing Geometrische Modellierung NURBS
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007382736&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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