Geometry for Computer Graphics: Formulae, Examples and Proofs

Front Cover
Springer Science & Business Media, Jan 5, 2005 - Computers - 342 pages

Geometry is the cornerstone of computer graphics and computer animation, and provides the framework and tools for solving problems in two and three dimensions. This may be in the form of describing simple shapes such as a circle, ellipse, or parabola, or complex problems such as rotating 3D objects about an arbitrary axis.

Geometry for Computer Graphics draws together a wide variety of geometric information that will provide a sourcebook of facts, examples, and proofs for students, academics, researchers, and professional practitioners.

The book is divided into 4 sections: the first summarizes hundreds of formulae used to solve 2D and 3D geometric problems. The second section places these formulae in context in the form of worked examples. The third provides the origin and proofs of these formulae, and communicates mathematical strategies for solving geometric problems. The last section is a glossary of terms used in geometry.

 

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Contents

II
1
III
4
IV
5
V
9
VI
10
VII
11
VIII
12
X
13
CCXLVI
146
CCXLVII
148
CCXLVIII
149
CCXLIX
150
CCL
151
CCLI
152
CCLII
154
CCLIV
158

XIII
14
XIV
15
XVI
16
XVII
19
XXI
21
XXII
22
XXV
23
XXVII
26
XXX
27
XXXII
28
XXXIII
29
XXXIX
30
XLV
31
XLIX
32
LII
33
LIII
34
LVII
35
LVIII
36
LXIII
37
LXVIII
38
LXXII
39
LXXVII
40
LXXXII
41
LXXXIV
42
LXXXV
43
LXXXVII
44
LXXXVIII
45
XC
46
XCII
47
XCIV
48
XCVI
49
XCVII
51
XCIX
53
CII
54
CIV
55
CV
56
CIX
57
CXI
58
CXII
59
CXV
60
CXVIII
61
CXX
62
CXXIII
63
CXXVI
64
CXXVII
66
CXXVIII
67
CXXIX
68
CXXXIII
69
CXXXIV
70
CXXXV
73
CXXXVI
75
CXXXVII
78
CXXXVIII
79
CXLI
80
CXLII
81
CXLIII
82
CXLIV
84
CXLV
86
CXLVI
88
CXLVII
89
CXLVIII
90
CXLIX
91
CL
92
CLI
94
CLVIII
95
CLXII
96
CLXV
97
CLXVI
98
CLXVII
99
CLXXI
100
CLXXIV
101
CLXXVII
102
CLXXX
103
CLXXXIII
104
CLXXXVI
105
CLXXXIX
106
CXCII
107
CXCV
108
CXCVIII
109
CCI
110
CCII
111
CCIII
112
CCIV
113
CCV
114
CCVI
115
CCVII
116
CCVIII
117
CCIX
118
CCX
119
CCXI
120
CCXII
121
CCXIV
123
CCXV
126
CCXVI
128
CCXIX
129
CCXX
130
CCXXI
131
CCXXIII
132
CCXXVI
133
CCXXVIII
134
CCXXIX
135
CCXXXIII
136
CCXXXV
137
CCXXXVI
138
CCXXXVIII
139
CCXXXIX
141
CCXL
143
CCXLII
144
CCXLIV
145
CCLV
162
CCLVI
163
CCLVII
165
CCLIX
166
CCLX
167
CCLXI
168
CCLXII
169
CCLXIII
171
CCLXVII
172
CCLXVIII
173
CCLXIX
175
CCLXXI
176
CCLXXII
177
CCLXXIII
178
CCLXXIV
180
CCLXXV
182
CCLXXVI
183
CCLXXIX
184
CCLXXX
186
CCLXXXIII
187
CCLXXXIV
189
CCLXXXVII
192
CCLXXXVIII
193
CCLXXXIX
196
CCXCI
198
CCXCII
201
CCXCIII
207
CCXCV
210
CCXCVII
211
CCXCVIII
212
CCC
214
CCCI
216
CCCII
217
CCCIII
218
CCCVI
219
CCCVII
220
CCCVIII
221
CCCIX
222
CCCX
224
CCCXI
225
CCCXII
226
CCCXIII
227
CCCXV
228
CCCXVII
229
CCCXVIII
230
CCCXX
231
CCCXXI
233
CCCXXIII
238
CCCXXIV
242
CCCXXV
246
CCCXXVI
249
CCCXXVII
250
CCCXXIX
252
CCCXXXII
253
CCCXXXV
254
CCCXXXVII
255
CCCXXXIX
256
CCCXLI
260
CCCXLII
261
CCCXLIV
262
CCCXLV
263
CCCXLVI
264
CCCXLVII
265
CCCXLVIII
266
CCCL
268
CCCLI
270
CCCLII
271
CCCLIII
272
CCCLV
273
CCCLVII
275
CCCLVIII
276
CCCLIX
277
CCCLX
278
CCCLXI
279
CCCLXIII
280
CCCLXIV
281
CCCLXV
283
CCCLXVI
284
CCCLXVII
285
CCCLXVIII
286
CCCLXIX
288
CCCLXX
290
CCCLXXI
293
CCCLXXIII
295
CCCLXXIV
296
CCCLXXV
297
CCCLXXVIII
298
CCCLXXXI
299
CCCLXXXII
300
CCCLXXXIII
301
CCCLXXXIV
302
CCCLXXXV
303
CCCLXXXVII
306
CCCLXXXVIII
308
CCCXCI
310
CCCXCII
311
CCCXCV
312
CCCXCVI
313
CCCXCVIII
314
CCCXCIX
315
CD
316
CDII
318
CDIV
319
CDVII
321
CDVIII
325
CDIX
333
CDX
335
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