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 |  موضوع: كتاب Fundamentals of Graphics Using MATLAB الخميس 21 أكتوبر 2021, 10:16 pm | |
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أخواني في الله
أحضرت لكم كتاب
Fundamentals of Graphics Using MATLAB
Ranjan Parekh
و المحتوى كما يلي :
Contents
Preface, xi
Author, xv
Chapter 1  Interpolating Splines 1
1.1 INTRODUCTION 1
1.2 LINEAR SPLINE (STANDARD FORMS) 4
1.3 LINEAR SPLINE (PARAMETRIC FORM) 10
1.4 QUADRATIC SPLINE (STANDARD FORM) 13
1.5 QUADRATIC SPLINE (PARAMETRIC FORM) 15
1.6 CUBIC SPLINE (STANDARD FORM) 18
1.7 CUBIC SPLINE (PARAMETRIC FORM) 22
1.8 PIECEWISE SPLINES (STANDARD FORM) 25
1.9 PIECEWISE SPLINES (PARAMETRIC FORM) 31
1.10 CHAPTER SUMMARY 39
1.11 REVIEW QUESTIONS 39
1.12 PRACTICE PROBLEMS 40
Chapter 2 Blending Functions and Hybrid Splines 41
2.1 INTRODUCTION 41
2.2 BLENDING FUNCTIONS 41
2.3 BLENDING FUNCTIONS OF INTERPOLATING SPLINES 46
2.4 HERMITE SPLINE 52
2.5 CARDINAL SPLINE 57
2.6 CATMULL–ROM SPLINE 61
2.7 BEZIER SPLINE 63
2.8 SPLINE CONVERSIONS 69vi Contents
2.9 CHAPTER SUMMARY 74
2.10 REVIEW QUESTIONS 74
2.11 PRACTICE PROBLEMS 75
Chapter 3 Approximating Splines 77
3.1 INTRODUCTION 77
3.2 LINEAR UNIFORM B-SPLINE 78
3.3 CHANGING NUMBER OF CONTROL POINTS 88
3.4 QUADRATIC UNIFORM B-SPLINE 89
3.5 JUSTIFICATION FOR KNOT-VECTOR VALUES 102
3.6 QUADRATIC OPEN-UNIFORM B-SPLINE 105
3.7 QUADRATIC NON-UNIFORM B-SPLINE 108
3.8 CUBIC UNIFORM B-SPLINE 109
3.9 CHAPTER SUMMARY 131
3.10 REVIEW QUESTIONS 131
3.11 PRACTICE PROBLEMS 132
Chapter 4 2D Transformations 133
4.1 INTRODUCTION 133
4.2 HOMOGENEOUS COORDINATES 135
4.3 TRANSLATION 136
4.4 SCALING 138
4.5 ROTATION 140
4.6 FIXED-POINT SCALING 143
4.7 FIXED-POINT ROTATION 145
4.8 REFLECTION 147
4.9 FIXED-LINE REFLECTION 149
4.10 SHEAR 152
4.11 AFFINE TRANSFORMATIONS 155
4.12 PERSPECTIVE TRANSFORMATIONS 159
4.13 VIEWING TRANSFORMATIONS 163
4.14 COORDINATE SYSTEM TRANSFORMATIONS 167
4.15 CHAPTER SUMMARY 168
4.16 REVIEW QUESTIONS 169
4.17 PRACTICE PROBLEMS 169Contents vii
Chapter 5 Spline Properties 171
5.1 INTRODUCTION 171
5.2 CRITICAL POINTS 172
5.3 TANGENT AND NORMAL 176
5.4 LENGTH OF A CURVE 181
5.5 AREA UNDER A CURVE 183
5.6 CENTROID 189
5.7 INTERPOLATION AND CURVE FITTING 192
5.8 NOTES ON 2D PLOTTING FUNCTIONS 199
5.9 CHAPTER SUMMARY 205
5.10 REVIEW QUESTIONS 205
5.11 PRACTICE PROBLEMS 206
Chapter 6 Vectors 207
6.1 INTRODUCTION 207
6.2 UNIT VECTOR 208
6.3 DIRECTION COSINES 210
6.4 DOT PRODUCT 212
6.5 CROSS PRODUCT 214
6.6 VECTOR EQUATION OF A LINE 215
6.7 VECTOR EQUATION OF PLANE 218
6.8 VECTOR ALIGNMENT (2D) 222
6.9 VECTOR EQUATIONS IN HOMOGENEOUS COORDINATES (2D) 225
6.10 VECTOR EQUATIONS IN HOMOGENEOUS COORDINATES (3D) 229
6.11 NORMAL VECTOR AND TANGENT VECTOR 234
6.12 CHAPTER SUMMARY 239
6.13 REVIEW QUESTIONS 239
6.14 PRACTICE PROBLEMS 240
Chapter 7 3D Transformations 241
7.1 INTRODUCTION 241
7.2 TRANSLATION 241
7.3 SCALING 245
7.4 ROTATION 248
7.5 FIXED-POINT SCALING 251viii Contents
7.6 FIXED-POINT ROTATION 254
7.7 ROTATION PARALLEL TO PRIMARY AXES 256
7.8 VECTOR ALIGNMENT (3D) 264
7.9 ROTATION AROUND A VECTOR 270
7.10 ROTATION AROUND AN ARBITRARY LINE 273
7.11 REFLECTION 277
7.12 SHEAR 280
7.13 CHAPTER SUMMARY 283
7.14 REVIEW QUESTIONS 284
7.15 PRACTICE PROBLEMS 284
Chapter 8 Surfaces 287
8.1 INTRODUCTION 287
8.2 PARAMETRIC SURFACES 288
8.3 BEZIER SURFACES 293
8.4 IMPLICIT SURFACES 298
8.5 EXTRUDED SURFACES 307
8.6 SURFACES OF REVOLUTION 308
8.7 NORMAL VECTOR AND TANGENT PLANE 312
8.8 AREA AND VOLUME OF SURFACE OF REVOLUTION 317
8.9 TEXTURE MAPPING 320
8.10 SURFACE ILLUMINATION 329
8.11 NOTES ON 3D PLOTTING FUNCTIONS 335
8.12 CHAPTER SUMMARY 349
8.13 REVIEW QUESTIONS 350
8.14 PRACTICE PROBLEMS 350
Chapter 9 Projection 353
9.1 INTRODUCTION 353
9.2 2D PROJECTION 354
9.3 3D PROJECTION 361
9.4 MULTI-VIEW PROJECTION 366
9.5 AXONOMETRIC PROJECTION 369
9.6 FORESHORTENING FACTORS 371
9.7 ISOMETRIC, DIMETRIC, AND TRIMETRIC 375
9.8 OBLIQUE PROJECTION 382Contents ix
9.9 PERSPECTIVE PROJECTION 387
9.10 CHAPTER SUMMARY 391
9.11 REVIEW QUESTIONS 392
9.12 PRACTICE PROBLEMS 392
APPENDIX I: MATLAB FUNCTION SUMMARY 395
APPENDIX II: ANSWERS TO PRACTICE PROBLEMS 399
REFERENCES 407
INDEX 40
Index
A
Affine transformation, 155
Ambient reflection, 332
Approximating spline, 77
Area of revolution, 317
Area under curve, 183
Axonometric projection, 369
B
Basis matrix, 10, 43, 61, 64, 67, 69
Bernstein polynomials, 63
Bezier spline, 63
Bezier surface, 293
Blending functions, 41, 46
B-spline, 77, 88, 102, 105, 108
C
Cabinet projection, 383
Cardinal spline, 57
Cartesian equation, 215, 218
Catmull-rom spline, 61
Cavalier projection, 382
Centroid, 189
Constraint matrix, 5, 36
Continuity condition, 26, 32
Control points, 1, 88, 287
Coordinate system, 133–135, 167, 241–242
Cox de boor algorithm, 77, 79, 90, 109–110
Critical points, 172
Cross product, 214
Cubic spline, 18, 22
Curve fitting, 192
Curve segments, 25, 31
D
Diffused reflection, 332
Dimetric projection, 375
Direction cosine, 210
Dot product, 212
E
Extruded surface, 307
F
Fixed-line reflection, 149
Fixed-point rotation, 145, 254
Fixed-point scaling, 143
Foreshortening factors, 371
G
Geometry matrix, 10, 43, 69
H
Hermite spline, 53
Homogeneous coordinates, 135, 225, 229, 354
Hybrid spline, 41, 52
I
Identity matrix, 355, 361
Implicit surface, 298
Interpolating spline, 1, 46
Interpolation, 192
Isometric projection, 375
K
Knot vector, 77, 102
L
Length of curve, 181
Linear spline, 4, 10
Local control, 77410 Index
M M
ATLAB, xi
MATLAB function summary, 395
Multi-view projection, 366
N
Non-uniform b-spline, 77, 108
Normal, 176, 234, 312
O
Oblique projection, 353, 356, 361, 382
Open uniform b-spline, 105
Orthographic projection, 353, 356, 361
P
Parallel projection, 353, 355, 366
Parametric equations, 3, 10, 15, 22, 31
Parametric surface, 288, 293
Perspective projection, 353, 355, 361, 387
Perspective transformation, 159, 324, 361
Piecewise spline, 25, 31
Point of inflection, 172–173
Polynomial, 1, 3–4
Position vector, 207–208, 215, 218
Primary axis, 134, 222, 241
Primary plane, 241, 353
Projection, 353
Projection reference point, 353
Projection vector, 355
Q
Quadratic spline, 13, 15
R
Reflection, 147, 149, 277
Right-handed coordinate system, 133, 241
Rotation, 140, 145, 248, 254, 256, 270, 273
S
Scaling, 138, 143, 245, 251
Shape parameter, 57, 61
Shear, 152, 155, 280
Spatial domain, 4, 13, 18
Specular reflection, 333
Spline conversion, 69
Spline properties, 171
Sub-division ratio, 15, 22
Surface, 288
Surface area, 317
Surface illumination, 329
Surface of revolution, 308, 317
T
Tangent, 176, 234, 312
Texture mapping, 320
3D plotting functions, 335
3D projection, 353
Transformation matrix, 134–135
Translation, 136, 241
Trimetric projection, 375
2D plotting functions, 199
2D projection, 354
U
Uniform b-spline, 78, 89, 105
Unit vector, 208
V
Vector alignment, 222, 264
Vector equation of line, 215
Vector equation of plane, 218
Vectors, 207
Viewing direction, 334, 382
Viewing transformation, 163
Viewplane, 361
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