UNDERLYING TOPICS ON CAD / CAM / CG

More documents

Recommendations

Info

UNDERLYING TOPICS IN CAD / CAM / CG Dr. Oscar E. Ruiz S.CAD/CAM/CG Laboratory - EAFIT University - Medellin, ColombiaCopyright A.S.M.E. (American Society of Mechanical En gineers)3.4.3.1 Shear with respect to an arbitrary point. 503.5 EXERCISES – GEOMETRIC TRANSFORMATIONS – 513.5.1 ROTATIONS AROUND THE MAIN AXES. 513.5.2 ITERATIVE ROTATIONS I. 523.5.3 ITERATIVE ROTATIONS II. 533.5.4 MIRROR ABOUT THE ORIGIN. 543.5.5 MIRROR ABOUT XY PLANE. 543.5.6 MIRROR ABOUT X=Y PLANE. 543.5.7 MIRROR ABOUT Z AXIS. 543.5.8 SCALING. 543.5.9 SHEARING. 543.5.10 ITERATIVE ROTATIONS III. 553.5.11 ITERATIVE ROTATIONS IV. 563.5.12 SOLID GENERATION. 583.5.13 TRANSFORMATION OF A SOLID BODY I.3.5.14 TRANSFORMATIONS OF A SOLID BODY II.59603.5.15 MIRROR ABOUT XZ PLANE. 613.5.16 GENERAL TRANSFORMATIONS I. 623.5.17 GENERAL TRANSFORMATIONS II. 633.5.18 SWEEP OF A CROSS SECTION ALONG AN ARBITRARY PATH. 643.5.19 SIMULTANEOUS SWEEP AND TWIST OF A CROSS SECTION. 653.5.20 PARALLEL PROJECTION.3.5.21 PERSPECTIVE PROJECTION.67684. CURVES AND SURFAC ES 704.1 RANDOM SAMPLES 704.1.1 POLYNOMIAL INTERPOLATION 704.1.2 STATISTIC INTERPOLATION 714.2 ORDERED SAMPLES. PARAMETRIC EQUATIONS 724.2.1 PARAMETRIC CURVES 744.2.1.1 Bezier Curve 764.2.1.1.1 Scalar form of the Bezier coefficients. 764.2.1.1.2 Matrix form of the Bezier coefficients. 764.2.1.2 Uniform B-Spline Curve 784.2.1.2.1 Continuity analysis for Spline curves 804.2.1.2.2 Closed Spline curves 804.2.2 SURFACES 824.2.2.1 Control point sets4.2.2.1.1 Example of control Polyhedron generation (The Möbius Band)82844.2.2.2 Parametric Surfaces 864.2.2.3 Bezier Surface 864.2.2.4 Spline Surface 874.3 EXERCICES - CURVES AND SURFACES - 904.3.1 CONTROL POINT GENERATION OF A TOROIDAL SPIRAL. 904.3.2 BEZIER INTERPOLATION FUNCTION. 914.3.3 SELF-DEFINED INTERPOLATION FUNCTION. 934.3.4 GENERAL CURVE INTERPOLATION FUNCTION. 944.3.5 CONTROL POINT GENERATION OF A TOROIDAL SURFACE. 95This material is property of the American society of mechanical engineers (ASME). All copy or reproduction is forbidden. PersonalCopy of Prof. C. U. Xoán Leiceaga Baltar.iii
UNDERLYING TOPICS IN CAD / CAM / CG Dr. Oscar E. Ruiz S.CAD/CAM/CG Laboratory - EAFIT University - Medellin, ColombiaCopyright A.S.M.E. (American Society of Mechanical En gineers)4.3.6 CONTROL POINT GENERATION OF A CONICAL SPIRAL BAND. 964.3.7 BEZIER SURFACE I. 974.3.8 BEZIER SURFACE II. 994.3.9 GENERIC SURFACE INTERPOLATION FUNCTION. 1014.3.10 BEZIER AND SPLINE SURFACE INTERPOLATION. 1025. GEOMETRIC MODELIN G 1035.1 CONSTRUCTIVE SOLID GEOMETRY (CSG) 1045.2 BOUNDARY REPRESENTATION (B-REP) 1065.2.1 EXAMPLE. RELATIONSHIP BETWEEN TOPOLOGY AND GEOMETRY 1115.3 EXAMPLE 1. DEFINITION OF BOUNDARY REPRESENTATION 1125.3.1 BOUNDARY REPRESENTATION 1125.3.2 CSG REPRESENTATION 1135.4 EXAMPLE 2. DEFINITION OF BOUNDARY REPRESENTATION 1145.4.1 NOMENCLATURE OF ENTITIES 1155.4.2 BOUNDARY REPRESENTATION5.4.3 CSG REPRESENTATION1151175.5 EXAMPLE 3. GEOMETRIC MODELING 1185.5.1 PROGRAMMING IN MATLAB 1225.6 CELL DECOMPOSITION AND SPATIAL OCCUPANCY ENUMERATION 1245.6.1 QUADTREES 1245.6.1.1 Observations 1255.7 EXERCISES – GEOMETRIC MODELING -5.7.1 CSG AND B-REP I.1271275.7.2 CSG AND B-REP II. 1295.7.3 CSG AND B-REP II. 1315.7.4 2D SPATIAL DECOMPOSITION. 1346. FINAL EXERCISES 1356.1 EXERCISE I. 1356.2 EXERCISE II. 1376.3 EXERCISE III. 1407. APPENDIX 1447.1 CHAPTER 3 -EXAMPLES / PROOFS FOR GEOMETRIC TRANSFORMATIONS - 1447.1.1 EXAMPLE. RIGID TRANSFORMATIONS (SECTION 3.2.6) - MATLAB CODE 1447.1.1.1 Auxiliary functions 1467.1.2 RIGID TRANSFORMATIONS - DEMONSTRATIONS AND PROOFS 1487.1.3 A DDITIONAL CASES OF MIRROR TRANSFORMATIONS 1527.1.3.1 Mirror about XZ plane7.1.3.2 Mirror about a plane X = Y1521537.1.3.2.1 Example. Application of the Householder transformation. to perform a mirror about theplane X = Y 1547.2 CHAPTER 4 - EXAMPLES OF CONTROL POINT GENERATION (MATLAB CODE) 155This material is property of the American society of mechanical engineers (ASME). All copy or reproduction is forbidden. PersonalCopy of Prof. C. U. Xoán Leiceaga Baltar.iv
Page 2 and 3: UNDERLYING TOPICS IN CAD / CAM / CG
Page 6: UNDERLYING TOPICS IN CAD / CAM / CG
Page 54 and 55:
UNDERLYING TOPICS IN CAD / CAM / CG
Page 56 and 57:
Page 58 and 59:
Page 60 and 61:
Page 62 and 63:
Page 64 and 65:
Page 66 and 67:
Page 68 and 69:
Page 70 and 71:
Page 72 and 73:
Page 74 and 75:
Page 76 and 77:
Page 78 and 79:
Page 80 and 81:
Page 82 and 83:
Page 84 and 85:
Page 86 and 87:
Page 88 and 89:
Page 90 and 91:
Page 92 and 93:
Page 94 and 95:
Page 96 and 97:
Page 98 and 99:
Page 100 and 101:
Page 102 and 103:
Page 104 and 105:
Page 106 and 107:
Page 108 and 109:
Page 110 and 111:
Page 112 and 113:
Page 114 and 115:
Page 116 and 117:
Page 118 and 119:
Page 120 and 121:
Page 122 and 123:
Page 124 and 125:
Page 126 and 127:
Page 128 and 129:
Page 130 and 131:
Page 132 and 133:
Page 134 and 135:
Page 136 and 137:
Page 138 and 139:
Page 140 and 141:
Page 142 and 143:
Page 144 and 145:
Page 146 and 147:
Page 148 and 149:
Page 150 and 151:
Page 152 and 153:
Page 154 and 155:
Page 156 and 157:
Page 158 and 159:
Page 160 and 161:
Page 162 and 163:
Page 164 and 165:
Page 166 and 167:
Page 168 and 169:
Page 170 and 171:
Page 172 and 173:
Page 174 and 175:
show all

UNDERLYING TOPICS ON CAD / CAM / CG

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?