Rogers D., Adams A. Mathematical Elements for Computer Graphics 1976 torrent

Textbook in PDF format

Introduction to Computer Graphics
Overview of Computer Graphics
Representing Pictures to be Presented
Preparing Pictures for Presentation
Presenting Previously Prepared Pictures
Interacting with the Picture
Description of same Typical Graphics Devices
Classification of Graphics Devices
Two-Dimensional Transformations
Representation of Points
Transformations and Matrices
Tranformation of Points
Transformation of Straight Lines
Midpoint Transformation
Parallel Lines
Intersecting Lines
Rotation
Reflection
Scaling
Combined Operations
Transformation of a Unit Square
Arbitrary 2x2 Rotation Matrix
Two-Dinensional Translations and Homogeneous Coordinates
Points at Infinity
Two-Dimensional Rotation about an Arbitrary Axis
Three-Dimensional Transformations and projections
Three-Dimensional Scaling
Three-Dimensional Shearing
Three-Dimensional Rotations
Reflection in Three Dimensions
Translation in Three Dimensions
Three-Dimensional Rotations about an Arbitrary Axis
Elements for the General Rotation Matrix
Affine and Perspective Geometry
Axonometric Projections
Perspective Transformations
Techniques for Generating Perspective Views
Points at Infinity
Reconstruction of Three-Dimensional Information
Stereographic Projection
Plane Curves
Nonparametric Curves
Parametric Curves
Nonparametrie Representation of Conic Sections
Nonparametrie Circular Arcs
Parametric Representation of Conic Sections
Parametric Representation of a Circle
Parametric Representation of an Ellipse
Parametric Representation of a Parabola
Parametric Representation of a Hyperbola
A Procedure for the Use of Conic Sections
Circular Arc Interpolation
Space Curves
Representation of Space Curves
Cubic Splines
Normalized Parameters
Boundary Conditions
Parabolic Blending
Bezier Curves
B-spline Curves
Surface Description and Generation
Spherical Surfaces
Plane Surfaces
Curved Surface Representation
Bilinear Surface
Lofted or Ruled Surfaces
Linear Coons Surfaces
Bicubic Surface Patch
The F-Patch
Bezier Surfaces
B-spline Surfaces
Generalized Coons Surfaces
Conclusions References
Appendixes
Appendix A: Computer Graphics Software
Appendix B: Matrix Algebra
Appendix C: Pseudo-code
Appendix D: B-Spline Surface File Format
Appendix E: Problems
Appendix F: Programming Projects
Appendix G: Algorithms