The NURBS Book /

The NURBS book covers all aspects of non-uniform rational B-splines necessary to design geometry in a computer aided environment. Basic B-spline features, curve and surface algorithms, and state-of-the-art geometry tools are all discussed. Detailed code for design algorithms and computational tricks...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Piegl, Les
Otros Autores: Tiller, Wayne
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997.
Edición:Second edition.
Colección:Monographs in visual communication.
Temas:
Computer science.
Computer graphics.
Computer-aided design.
Spline theory > Data processing.
Electronic data processing.
Electronic Data Processing
Computer Graphics
Computer-Aided Design
Théorie des splines > Informatique.
Conception assistée par ordinateur.
Informatique.
Infographie.
computer graphics.
computer-aided designs (visual works)
data processing.
computer science.
computer-aided design (process)
Electronic data processing
Spline theory > Data processing
Computer-aided design
Computer graphics
Computer science
Splines.
Computergraphics.
Processamento grafico (graphics)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • One Curve and Surface Basics
  • 1.1 Implicit and Parametric Forms
  • 1.2 Power Basis Form of a Curve
  • 1.3 Bézier Curves
  • 1.4 Rational Bézier Curves
  • 1.5 Tensor Product Surfaces
  • Exercises
  • Two B-Spline Basis Functions
  • 2.1 Introduction
  • 2.2 Definition and Properties of B-spline Basis Functions
  • 2.3 Derivatives of B-spline Basis Functions
  • 2.4 Further Properties of the Basis Functions
  • 2.5 Computational Algorithms
  • Exercises
  • Three B-spline Curves and Surfaces
  • 3.1 Introduction
  • 3.2 The Definition and Properties of B-spline Curves
  • 3.3 The Derivatives of a B-spline Curve
  • 3.4 Definition and Properties of B-spline Surfaces
  • 3.5 Derivatives of a B-spline Surface
  • Exercises
  • Four Rational B-spline Curves and Surfaces
  • 4.1 Introduction
  • 4.2 Definition and Properties of NURBS Curves
  • 4.3 Derivatives of a NURBS Curve
  • 4.4 Definition and Properties of NURBS Surfaces
  • 4.5 Derivatives of a NURBS Surface
  • Exercises
  • Five Fundamental Geometric Algorithms
  • 5.1 Introduction
  • 5.2 Knot Insertion
  • 5.3 Knot Refinement
  • 5.4 Knot Removal
  • 5.5 Degree Elevation
  • 5.6 Degree Reduction
  • Exercises
  • Six Advanced Geometric Algorithms
  • 6.1 Point Inversion and Projection for Curves and Surfaces
  • 6.2 Surface Tangent Vector Inversion
  • 6.3 Transformations and Projections of Curves and Surfaces
  • 6.4 Reparameterization of NURBS Curves and Surfaces
  • 6.5 Curve and Surface Reversal
  • 6.6 Conversion Between B-spline and Piecewise Power Basis Forms
  • Exercises
  • Seven Conics and Circles
  • 7.1 Introduction
  • 7.2 Various Forms for Representing Conics
  • 7.3 The Quadratic Rational Bézier Arc
  • 7.4 Infinite Control Points
  • 7.5 Construction of Circles
  • 7.6 Construction of Conies
  • 7.7 Conic Type Classification and Form Conversion
  • 7.8 Higher Order Circles
  • Exercises
  • Eight Construction of Common Surfaces
  • 8.1 Introduction
  • 8.2 Bilinear Surfaces
  • 8.3 The General Cylinder
  • 8.4 The Ruled Surface
  • 8.5 The Surface of Revolution
  • 8.6 Nonuniform Scaling of Surfaces
  • 8.7 A Three-sided Spherical Surface
  • Nine Curve and Surface Fitting
  • 9.1 Introduction
  • 9.2 Global Interpolation
  • 9.3 Local Interpolation
  • 9.4 Global Approximation
  • 9.5 Local Approximation
  • Exercises
  • Ten Advanced Surface Construction Techniques
  • 10.1 Introduction
  • 10.2 Swung Surfaces
  • 10.3 Skinned Surfaces
  • 10.4 Swept Surfaces
  • 10.5 Interpolation of a Bidirectional Curve Network
  • 10.6 Coons Surfaces
  • Eleven Shape Modification Tools
  • 11.1 Introduction
  • 11.2 Control Point Repositioning
  • 11.3 Weight Modification
  • 11.4 Shape Operators
  • 11.5 Constraint-based Curve and Surface Shaping
  • Twelve Standards and Data Exchange
  • 12.1 Introduction
  • 12.2 Knot Vectors
  • 12.3 Nurbs Within the Standards
  • 12.4 Data Exchange to and from a NURBS System
  • Thirteen B-spline Programming Concepts
  • 13.1 Introduction
  • 13.2 Data Types and Portability
  • 13.3 Data Structures
  • 13.4 Memory Allocation
  • 13.5 Error Control
  • 13.6 Utility Routines
  • 13.7 Arithmetic Routines
  • 13.8 Example Programs
  • 13.9 Additional Structures
  • 13.10 System Structure
  • References.

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