Shape Analysis and Structuring

Front Cover
Leila de Floriani, Michela Spagnuolo
Springer Science & Business Media, Dec 24, 2007 - Mathematics - 296 pages

Several techniques have been developed in the literature for processing different aspects of the geometry of shapes, for representing and manipulating a shape at different levels of detail, and for describing a shape at a structural level as a concise, part-based, or iconic model. Such techniques are used in many different contexts, such as industrial design, biomedical applications, entertainment, environmental monitoring, or cultural heritage. This book covers a variety of topics related to preserving and enhancing shape information at a geometric level, and to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relationships.

 

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Contents

II
1
III
2
V
3
VI
5
VIII
6
IX
8
X
9
XII
10
CI
146
CII
148
CIII
150
CV
154
CVI
156
CVII
157
CIX
158
CX
159

XIII
11
XIV
12
XV
13
XVII
14
XVIII
15
XIX
17
XX
18
XXI
19
XXII
20
XXIII
21
XXIV
22
XXVI
24
XXVII
25
XXVIII
26
XXIX
28
XXXI
30
XXXII
32
XXXIV
33
XXXV
34
XXXVII
35
XXXIX
39
XL
41
XLI
42
XLII
53
XLIII
54
XLVI
56
XLVII
57
XLIX
61
L
62
LI
63
LII
66
LIII
71
LIV
72
LV
73
LVI
74
LVII
78
LVIII
83
LIX
84
LX
85
LXI
86
LXII
88
LXIII
91
LXIV
92
LXV
96
LXVI
98
LXVII
100
LXVIII
101
LXIX
102
LXXI
103
LXXII
108
LXXIII
109
LXXIV
110
LXXV
115
LXXVI
116
LXXVII
118
LXXIX
119
LXXX
120
LXXXII
121
LXXXIII
123
LXXXIV
126
LXXXV
128
LXXXVII
129
LXXXVIII
131
XC
132
XCIII
135
XCV
137
XCVI
138
XCVIII
140
XCIX
144
CXI
160
CXII
161
CXIV
163
CXV
164
CXVI
166
CXVII
168
CXVIII
172
CXIX
175
CXX
177
CXXI
185
CXXII
186
CXXIV
188
CXXVI
189
CXXVII
191
CXXVIII
193
CXXX
195
CXXXI
196
CXXXII
197
CXXXIV
198
CXXXV
199
CXXXVI
200
CXXXVII
202
CXXXVIII
207
CXXXIX
208
CXLI
214
CXLII
216
CXLIII
218
CXLV
219
CXLVI
220
CXLVII
222
CXLVIII
223
CXLIX
224
CL
226
CLII
227
CLIII
228
CLIV
229
CLV
230
CLVI
231
CLIX
232
CLXI
234
CLXII
236
CLXIII
237
CLXIV
238
CLXV
241
CLXVI
242
CLXVIII
243
CLXIX
244
CLXX
246
CLXXI
247
CLXXIII
248
CLXXIV
249
CLXXV
253
CLXXVII
255
CLXXVIII
258
CLXXIX
259
CLXXX
261
CLXXXI
263
CLXXXII
265
CLXXXIII
268
CLXXXV
275
CLXXXVI
277
CLXXXVII
279
CLXXXVIII
281
CLXXXIX
285
CXC
287
CXCI
288
CXCII
293
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Page 4 - To calculate the extreme values of the curvature of a normal section curve (the normal section curvature) we can use the method of Lagrange multipliers because we are looking for the extreme values of the normal section curvature KN with the condition ||y(s)|| = 1.
Page 269 - SPIE, 2656:34-45, 1996. [2] MP Do Carmo. Differential Geometry of Curves and Surfaces. Prentice Hall, 1976. [3] A. Certain, J. Popovic, T. Derose, T. Duchamp, D. Salesin, and W. Stuetzle. Interactive multiresolution surface viewing.

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