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Table 2 Results for the Shepp-Logan phantom (+ noise)

From: Variational attenuation correction in two-view confocal microscopy

Method

m

λ

μ

E

nIter

β

rms I

rms α

Ref. [7]

0

0

0

84.2003

88

1.0

1138.68

0.0021

proposed (TM) (β2:=1)

0.05

1010

106

72.1663

117

1.0

822.27

0.0011

proposed (TM)

0

106

107

152.712

770

0.80

639.52

0.0032

proposed (TM)

0.02

108

107

148.08

268

0.80

518.18

0.0019

proposed (TM)

0.05

109

106

68.2854

66

0.80

487.45

0.0010

proposed (TM)

0.07

109

106

63.4456

48

0.80

449.03

0.0008

proposed (TM)

0.1

108

106

57.677

65

0.80

490.76

0.0010

proposed (TV)

0

5·106

107

166.514

94

0.80

466.14

0.0008

proposed (TV)

0.02

5·105

107

151.261

75

0.80

470.12

0.0009

proposed (TV)

0.05

105

106

67.4981

88

0.80

567.72

0.0013

proposed (TV)

0.07

105

106

63.3558

38

0.80

439.59

0.0008

proposed (TV)

0.1

105

106

58.1152

40

0.80

478.66

0.0008

  1. Abbreviations: G = Gauss, P = Poisson, TM = Tikhonov-Miller, TV = Total Variation, E = Final energy after convergence, nIter = Iterations till convergence.