Waveform Inversion with Source Encoding for Breast Sound Speed Reconstruction in Ultrasound Computed Tomography

. Author manuscript; available in PMC: 2016 Oct 31.

Published in final edited form as: IEEE Trans Ultrason Ferroelectr Freq Control. 2015 Mar;62(3):475–493. doi: 10.1109/TUFFC.2014.006788


Algorithm 2 Waveform inversion with source encoding (WISE) algorithm.

Input: {g_m}, {s_m}, c⁽⁰⁾
Output: ĉ
1:	k ← 0 {k is the number of algorithm iteration}
2:	while stopping criterion is not satisfied do
3:	k ← k + 1
4:	Draw elements of w from independent and identical Rademacher distribution.
5:	p^w ← H^cs^w {s^w is calculated via Eqn. (14).}
6:	q^w ← H^cτ^w {τ^w is calculated via Eqn. (17).}
7:	J ← J^w + βJ^R {J^w is calculated via Eqn. (16)}
8:	Determine step size λ by use of line search
9:	c⁽^k⁾ ← c⁽^k⁻¹⁾ − λJ
10:	end while
11:	ĉ = c⁽^k⁾