Table 1 Angle of deviation for VCG based Gaussian (Alg. 3) and TV priors (Alg. 4).

From: Bayesian approach for localizing cardiac sources in Magnetocardiography using Vectorcardiography based total variational priors

Condition

Vectors

\(\theta _G\)

\(\theta _{TV}\)

D1

D2

D3

D1

D2

D3

Noise-free

\(\hat{{{\textbf {e}}}}_q^{uQ}\)

2.33

1.97

2.14

0.62

0.31

0.88

\(\hat{{{\textbf {e}}}}_q^{uR}\)

1.56

2.45

1.62

0.47

0.61

0.15

\(\hat{{{\textbf {e}}}}_q^{uS}\)

1.24

3.21

2.77

0.28

0.3

0.92

\(\hat{{{\textbf {e}}}}_q^{uT}\)

0.67

1.58

0.56

0.63

0.55

0.14

Noise: 10dB

\(\hat{{{\textbf {e}}}}_q^{uQ}\)

8.26

7.56

6.29

1.85

2.06

1.84

\(\hat{{{\textbf {e}}}}_q^{uR}\)

3.56

4.62

9.33

5.24

3.96

1.28

\(\hat{{{\textbf {e}}}}_q^{uS}\)

7.18

6.32

7.64

3.66

2.58

2.55

\(\hat{{{\textbf {e}}}}_q^{uT}\)

5.56

7.48

5.58

2.58

5.14

5.64

Noise: 20dB

\(\hat{{{\textbf {e}}}}_q^{uQ}\)

6.25

5.82

4.25

3.65

1.85

2.79

\(\hat{{{\textbf {e}}}}_q^{uR}\)

3.65

4.65

5.66

2.36

1.91

1.52

\(\hat{{{\textbf {e}}}}_q^{uS}\)

8.52

7.63

8.21

5.36

2.51

2.68

\(\hat{{{\textbf {e}}}}_q^{uT}\)

7.64

8.32

3.68

3.21

3.54

1.31

Noise: 50dB

\(\hat{{{\textbf {e}}}}_q^{uQ}\)

5.32

6.38

5.19

2.35

1.67

2.56

\(\hat{{{\textbf {e}}}}_q^{uR}\)

2.56

4.22

6.46

3.14

2.66

2.38

\(\hat{{{\textbf {e}}}}_q^{uS}\)

6.32

7.31

8.54

4.36

3.2

1.17

\(\hat{{{\textbf {e}}}}_q^{uT}\)

4.76

3.94

3.60

3.78

4.31

2.65