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International Journal of Interdisciplinary Research

Table 2 Volume error estimation for “Sphere”

From: Support structure tomography using per-pixel signed shadow casting in human manikin 3D printing

Input mesh

Volume

(True†/predicted [error])

Calculation time (seconds)

nE/nV

Radius (mm)

Mean element area (mm^2)

Mean edge length (mm)

Vtc

Vo

Vss

320

/162

50

31,415.9

8.418375

6.54e+5/

5.24e+5

[2.9%]

5.24e+5/

5.24e+5

[0.1%]

1.31e+5/

1.22e+5

[7.3%]

0.417

100

125,663.7

29.93818

5.24e+6/

5.10e+6

[2.8%]

4.19e+6/

4.13e+6

[1.5%]

1.05e+6/

9.67e+5

[8.2%]

1.666

150

282,743.3

44.90727

1.77e+7/

1.72e+7

[2.5%]

1.41e+7/

1.38e+7

[2.4%]

3.53e+6/

3.44e+6

[2.8%]

5.513

200

502,654.8

59.876358

4.19e+7/

4.08e+7

[2.8%]

3.25e+7/

3.26e+7

[2.8%]

8.64e+7/

8.04e+7

[2.6%]

8.853

300

1,130,973.4

89.81454

1.41e+8/

1.38e+8

[2.5%]

1.13e+8/

1.10e+8

[2.7%]

2.83e+7/

2.78e+7

[1.6%]

13.178

  1. “nE/nV” means # of triangle elements/vertices. “True †” volume were calculated analytically; Vo = (4/3)πR3, Vtc = Vo/2+πR2 × R = (5/3)πR3, Vss = Vtc – Vo = (1/3)πR3