dfr@usna.MIL (David F. Rogers <dfr@usna>) (09/23/89)
Note the sender has a vested interest in the following message
(he's one of the authors). So, if you resent this sort of thing
hit the n key now.
However, I have had a number of enquiries about this book. So,
in the interests of providing information, a table of contents
is given below. I'll spare you the normal publishers advertising hype.
My own interest is in asking those of you who use the book for some
assistance. No matter how careful the authors and proofreaders are
all books have typos. If you use the book and find a typo (or something
that you think is wrong) please use the bug report form given at the
end of the message (or something similar) and tell me about it. I will
have a chance to corret these typos in about June 1990. In a few months,
I'll summarize those that I have received and publish an errata list
to the net.
Thanks in advance.
Dave Rogers
Professor David F. Rogers
Aerospace Engineering Department
U.S. Naval Academy
Annapolis, Maryland 21401
USA
dfr@usna.navy.mil
usna!dfr@uunet.uu.net
______________________________
CONTENTS
MATHEMATICAL ELEMENTS FOR COMPUTER GRAPHICS 2nd edition
David F. Rogers & J. Alan Adams
McGraw-Hill Book Co. 1990
hardcover -- ISBN 0-07-053529-9
softcover --
Foreword to the First Edition xi
Preface xiii
Preface to the First Edition xvii
Chapter 1 Introduction To Computer Graphics 1
1--1 Overview of Computer Graphics 3
1--2 Representing Pictures 3
1--3 Preparing Pictures For Presentation 5
1--4 Presenting Previously Prepared Pictures 6
1--5 Interacting with the Picture 9
1--6 Description of Some Graphics Devices 18
1--7 Storage Tube Graphics Displays 18
1--8 Calligraphic Refresh Graphics Displays 19
1--9 Raster Refresh Graphics Displays 24
1--10 Cathode Ray Tube Basics 30
1--11 Color CRT Raster Scan Basics 31
1--12 Video Basics 32
1--13 Flat Panel Displays 35
1--14 Electrostatic Plotters 42
1--15 Laser Printers 44
1--16 Dot Matrix Plotters 47
1--17 Ink Jet Plotters 49
1--18 Thermal Plotters 50
1--19 Pen and Ink Plotters 52
1--20 Color Film Cameras 56
1--21 Active and Passive Graphics Devices 57
1--22 Computer Graphics Software 58
1--23 References 59
Chapter 2 Two-Dimensional Transformations 61
2--1 Introduction 61
2--2 Representation of Points 61
2--3 Transformations and Matrices 62
2--4 Transformation of Points 62
2--5 Transformation of Straight Lines 65
2--6 Midpoint Transformation 66
2--7 Transformation of Parallel Lines 68
2--8 Transformation of Intersecting Lines 69
2--9 Rotation 72
2--10 Reflection 76
2--11 Scaling 78
2--12 Combined Transformations 80
2--13 Transformation of The Unit Square 83
2--14 Solid Body Transformations 86
2--15 Translations and Homogeneous Coordinates 87
2--16 Rotation About an Arbitrary Point 88
2--17 Reflection Through an Arbitrary Line 89
2--18 Projection -- A Geometric Interpretation of Homogeneous Coordinates 90
2--19 Overall Scaling 94
2--20 Points At Infinity 95
2--21 Transformation Conventions 98
2--22 References 100
Chapter 3 Three-Dimensional Transformations 101
3--1 Introduction 101
3--2 Three-Dimensional Scaling 102
3--3 Three-Dimensional Shearing 106
3--4 Three-Dimensional Rotation 107
3--5 Three-Dimensional Reflection 113
3--6 Three-Dimensional Translation 115
3--7 Multiple Transformations 115
3--8 Rotations About an Axis Parallel to a Coordinate Axis 117
3--9 Rotation About an Arbitrary Axis in Space 121
3--10 Reflection Through an Arbitrary Plane 128
3--11 Affine and Perspective Geometry 132
3--12 Orthographic Projections 135
3--13 Axonometric Projections 141
3--14 Oblique Projections 151
3--15 Perspective Transformations 157
3--16 Techniques For Generating Perspective Views 171
3--17 Vanishing Points 179
3--18 Photography and The Perspective Transformation 185
3--19 Stereographic Projection 187
3--20 Comparison of Object Fixed and Center of Projection Fixed Projections 195
3--21 Reconstruction of Three-Dimensional Images 200
3--22 References 206
Chapter 4 Plane Curves 207
4--1 Introduction 207
4--2 Curve Representation 207
4--3 Nonparametric Curves 209
4--4 Parametric Curves 211
4--5 Parametric Representation of a Circle 215
4--6 Parametric Representation of an Ellipse 218
4--7 Parametric Representation of a Parabola 223
4--8 Parametric Representation of a Hyperbola 227
4--9 A Procedure For Using Conic Sections 231
4--10 The General Conic Equations 231
4--11 References 246
Chapter 5 Space Curves 247
5--1 Introduction 247
5--2 Representation of Space Curves 248
5--3 Cubic Splines 250
5--4 Normalized Cubic Splines 267
5--5 Alternate Cubic Spline End Conditions 271
5--6 Parabolic Blending 278
5--7 Generalized Parabolic Blending 284
5--8 Bezier Curves 289
5--9 B-spline Curves 305
5--10 End Conditions For Periodic B-spline Curves 339
5--11 B-spline Curve Fit 346
5--12 B-spline Curve Subdivision 351
5--13 Rational B-spline Curves 356
5--14 References 375
Chapter 6 Surface Description and Generation 379
6--1 Introduction 379
6--2 Surfaces of Revolution 380
6--3 Sweep Surfaces 394
6--4 Quadric Surfaces 400
6--5 Piecewise Surface Representation 408
6--6 Mapping Parametric Surfaces 411
6--7 Bilinear Surface 414
6--8 Ruled and Developable Surfaces 417
6--9 Linear Coons Surface 422
6--10 Coons Bicubic Surface 426
6--11 Bezier Surfaces 435
6--12 B-spline Surfaces 445
6--13 B-spline Surface Fitting 456
6--14 B-spline Surface Subdivision 458
6--15 Gaussian Curvature and Surface Fairness 461
6--16 Rational B-spline Surfaces 465
6--17 References 477
Appendices 481
Appendix A Computer Graphics Software 481
Appendix B Matrix Methods 503
Appendix C Pseudocode 507
Appendix D B-spline Surface File Format 513
Appendix E Problems 517
Appendix F Programming Projects 527
Appendix G Algorithms 541
Index 599
__________________________________________
BUG REPORT - MECG 2nd, Rogers & Adams, McGraw-Hill Book Co. 1990
Please send or email to:
Professor David F. Rogers
Aerospace Engineering Department
U.S. Naval Academy
Annapolis, Maryland 21401
USA
dfr@usna.navy.mil
usna!dfr@uunet.uu.net
Page Line/Para/Equation Is Should Be Remarks
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