Alpha Shapes

1
Alpha Shapes

• Herbert Edelsbrunner

Duke University, Computer Science (Raindrop)
Geomagic
LEIDEN 2006
2
I. Molecular Models
I.1 Van der Waals diagram I.2 Solvent
accessible diagram I.3 Alpha shape
3
(No Transcript)
4
(No Transcript)
5
(No Transcript)
6
(No Transcript)
7
(No Transcript)
8
(No Transcript)
9
(No Transcript)
10
(No Transcript)
11
(No Transcript)
12
II. Connectivity
II.1 Homotopy equivalence II.2 Betti
numbers II.3 Incremental algorithm
13
(No Transcript)
14
(No Transcript)
15
(No Transcript)
16
(No Transcript)
17
(No Transcript)
18
(No Transcript)
19
(No Transcript)
20
(No Transcript)
21
(No Transcript)
22
(No Transcript)
23
III. Empty Space
III.1 Voids III.2 Pockets
24
(No Transcript)
25
(No Transcript)
26
(No Transcript)
27
(No Transcript)
28
(No Transcript)
29
(No Transcript)
30
(No Transcript)
31
(No Transcript)
32
(No Transcript)
33
IV. Size
IV.1 PIE formula IV.2 Void formula IV.3 Area
derivative IV.4 Volume derivative
34
(No Transcript)
35
(No Transcript)
36
(No Transcript)
37
(No Transcript)
38
(No Transcript)
39
(No Transcript)
40
(No Transcript)
41
(No Transcript)
42
(No Transcript)
43
(No Transcript)
44
(No Transcript)
45
V. Molecular Surface
V.1 Definition V.2 Deformation
46
(No Transcript)
47
(No Transcript)
48
(No Transcript)
49
(No Transcript)
50
(No Transcript)
51
(No Transcript)
52
(No Transcript)
53
(No Transcript)
54
VI. Shape
VI.1 Skin surfaces VI.2 Coaxal system VI.3
Mixed complex VI.4 Complementarity
55
(No Transcript)
56
(No Transcript)
57
(No Transcript)
58
(No Transcript)
59
(No Transcript)
60
(No Transcript)
61
(No Transcript)
62
(No Transcript)
63
(No Transcript)
64
Collaborators