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. Author manuscript; available in PMC: 2020 Oct 15.
Published in final edited form as: J Comput Phys. 2020 Jul 3;419:109700. doi: 10.1016/j.jcp.2020.109700

Table 1.

Shown are the means and standard deviations of total errors ∆ϕ in ms over the whole do main Ω between reference and optimized solutions for varying degrees of noise σ and spatial undersampling Ω^O. Initial errors of 3F and HPS model were μ Δ = −1.4ms, σΔ = ±11.3ms and μ Δ = −23.0ms, σΔ = ±8.3ms for 3F and HPS model, respectively.

3F-Model HPS-Model
Ω^O σ 0 ms 4 ms 8 ms 0 ms 4 ms 8 ms
Ω^O=ΩO −0.1 ± 2.8 1.7 ± 3.0 0.4 ± 4.2 1.0 ± 3.5 1.5 ± 3.6 0.5 ± 3.6
1 · 103 − 1.2 ± 3.7 −0.3 ± 2.8 −0.9 ± 3.8 4.0 ± 5.4 3.5 ± 5.4 1.8 ± 6.4
1 · 102 1.2 ± 3.9 − 1.6 ± 4.4 − 1.2 ± 3.5 5.3 ± 6.9 4.8 ± 6.5 2.1 ± 7.2