# IP-based Triangulation of a Point Configuration in 3D

Some examples:

The applets are developed using JDK1.1, and you should use Netscape4.0+patch for JDK1.1, MS-IE4.0, or HotJava 1.1.

Square grid

100 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

9 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

16 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

25 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

36 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

49 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

64 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

81 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

Lattice points

100 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

9 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

16 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

25 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

36 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

49 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

64 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

81 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

Points inside a square

10 points

Objective: min (sum of surface area)

20 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

30 points

Objective: min (sum of surface area)

40 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

50 points

Objective: min (sum of surface area)

60 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

70 points

Objective: min (sum of surface area)

80 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

90 points

Objective: min (sum of surface area)

100 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

110 points

Objective: min (sum of surface area)

120 points

Objective: min (sum of surface area)

130 points

Objective: min (sum of surface area)

140 points

Objective: min (sum of surface area)

150 points

Objective: min (sum of surface area)

160 points

Objective: min (sum of surface area)

170 points

Objective: min (sum of surface area)

180 points

Objective: min (sum of surface area)

200 points

Objective: min (sum of surface area)

220 points

Objective: min (sum of surface area)

240 points

Objective: min (sum of surface area)

260 points

Objective: min (sum of surface area)

280 points

Objective: min (sum of surface area)

300 points

Objective: min (sum of surface area)

320 points

Objective: min (sum of surface area)

Cyclic polytope

10 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

20 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

30 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

40 points

Objective: min (maximum aspect ratio)

Objective: min (sum of surface area)

If you have some questions or comments, please send e-mail to tajima@trl.ibm.co.jp or akira@is.s.u-tokyo.ac.jp