Closed Object Boundaries from Scattered Points

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Springer Science & Business Media, Nov 30, 1994 - Mathematics - 152 pages
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This monograph is devoted to computational morphology, particularly to the construction of a two-dimensional or a three-dimensional closed object boundary through a set of points in arbitrary position.
By applying techniques from computational geometry and CAGD, new results are developed in four stages of the construction process: (a) the gamma-neighborhood graph for describing the structure of a set of points; (b) an algorithm for constructing a polygonal or polyhedral boundary (based on (a)); (c) the flintstone scheme as a hierarchy for polygonal and polyhedral approximation and localization; (d) and a Bezier-triangle based scheme for the construction of a smooth piecewise cubic boundary.
 

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Contents

I
1
II
2
III
6
V
9
VII
11
VIII
19
IX
23
XII
26
XXXIV
67
XXXV
71
XXXVI
72
XXXVII
73
XL
81
XLI
89
XLII
90
XLIII
93

XIII
28
XIV
30
XV
36
XVI
37
XVIII
38
XIX
40
XX
43
XXI
44
XXII
45
XXIV
46
XXV
49
XXVI
52
XXVII
56
XXVIII
58
XXIX
60
XXX
61
XXXI
63
XXXIII
65
XLIV
94
XLV
98
XLVI
104
XLVII
107
XLVIII
109
L
110
LI
113
LII
115
LIII
116
LIV
117
LV
121
LVI
124
LVII
128
LVIII
129
LIX
133
LX
141
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