Ebook: Curves and Surfaces for Computer Graphics
Author: David Salomon (auth.)
- Tags: Computer Graphics, Computer Imaging Vision Pattern Recognition and Graphics, Computer-Aided Engineering (CAD CAE) and Design, Geometry
- Year: 2006
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics.
Key features:
- Good foundational mathematical introduction to curves and surfaces; no advanced math required
- Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces
- Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader
- Includes a gallery of color images, Mathematica code listings, and sections on curves and surfaces by refinement and on sweep surfaces
- Web site maintained and updated by the author, providing readers with errata and auxiliary material
This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.
Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics.
Key features:
- Good foundational mathematical introduction to curves and surfaces; no advanced math required
- Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces
- Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader
- Includes a gallery of color images, Mathematica code listings, and sections on curves and surfaces by refinement and on sweep surfaces
- Web site maintained and updated by the author, providing readers with errata and auxiliary material
This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.
Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics.
Key features:
- Good foundational mathematical introduction to curves and surfaces; no advanced math required
- Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces
- Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader
- Includes a gallery of color images, Mathematica code listings, and sections on curves and surfaces by refinement and on sweep surfaces
- Web site maintained and updated by the author, providing readers with errata and auxiliary material
This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.
Content:
Front Matter....Pages i-xvi
Basic Theory....Pages 1-47
Linear Interpolation....Pages 49-69
Polynomial Interpolation....Pages 71-109
Hermite Interpolation....Pages 111-139
Spline Interpolation....Pages 141-173
B?zier Approximation....Pages 175-250
B-Spline Approximation....Pages 251-317
Subdivision Methods....Pages 319-346
Sweep Surfaces....Pages 347-361
Back Matter....Pages 363-461
Computer graphics is important in many areas including engineering design, architecture, education, and computer art and animation. This book examines a wide array of current methods used in creating real-looking objects in the computer, one of the main aims of computer graphics.
Key features:
- Good foundational mathematical introduction to curves and surfaces; no advanced math required
- Topics organized by different interpolation/approximation techniques, each technique providing useful information about curves and surfaces
- Exposition motivated by numerous examples and exercises sprinkled throughout, aiding the reader
- Includes a gallery of color images, Mathematica code listings, and sections on curves and surfaces by refinement and on sweep surfaces
- Web site maintained and updated by the author, providing readers with errata and auxiliary material
This engaging text is geared to a broad and general readership of computer science/architecture engineers using computer graphics to design objects, programmers for computer gamemakers, applied mathematicians, and students majoring in computer graphics and its applications. It may be used in a classroom setting or as a general reference.
Content:
Front Matter....Pages i-xvi
Basic Theory....Pages 1-47
Linear Interpolation....Pages 49-69
Polynomial Interpolation....Pages 71-109
Hermite Interpolation....Pages 111-139
Spline Interpolation....Pages 141-173
B?zier Approximation....Pages 175-250
B-Spline Approximation....Pages 251-317
Subdivision Methods....Pages 319-346
Sweep Surfaces....Pages 347-361
Back Matter....Pages 363-461
....