The NURBS book:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Monographs in visual communications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 629 - 638 |
| Beschreibung: | XIV, 646 S. graph. Darst. |
| ISBN: | 3540615458 3540550690 |
Internformat
MARC
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| 100 | 1 | |a Piegl, Les A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The NURBS book |c Les Piegl ; Wayne Tiller |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XIV, 646 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Monographs in visual communications | |
| 500 | |a Literaturverz. S. 629 - 638 | ||
| 650 | 4 | |a Geometrische Modellierung - NURBS | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Computer-aided design | |
| 650 | 4 | |a Spline theory |x Data processing | |
| 650 | 0 | 7 | |a Geometrische Modellierung |0 (DE-588)4156717-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a NURBS |0 (DE-588)4376916-0 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804125516222955520 |
|---|---|
| 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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| dewey-full | 620.0042028551 |
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| dewey-ones | 620 - Engineering and allied operations |
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| dewey-search | 620.0042028551 |
| dewey-sort | 3620.0042028551 |
| dewey-tens | 620 - Engineering and allied operations |
| 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 |
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| physical | XIV, 646 S. graph. Darst. |
| publishDate | 1997 |
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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 |
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