Closed-form solution using Sequence of Product

There is no reference for this method. I created this to test different closed-form solution.

../../_images/pi.png

Algorithm parameters overview

algorParam.r2s.

Description

s0mode

Method to extrapolate the T1-weighted magnitude signal (S0) from the multi-echo magnitude data

piMethod

Method to compute R2* using the sequence of product approach: ratio between the first echo and each subsequent echo, or ratio between consecutive echo pairs

Usage

algorParam.r2s.s0mode

Method to extrapolate the T1-weighted magnitude signal (S0) from the multi-echo magnitude data. Options are '1st echo' (use the first echo intensity directly), 'weighted sum' (signal-intensity-weighted combination across echoes) and 'averaging' (average of the echo-time-corrected signal across echoes)

Default Value: ‘1st echo’

Examples:

algorParam.r2s.s0mode = '1st echo';

algorParam.r2s.s0mode = 'weighted sum';

algorParam.r2s.s0mode = 'averaging';

algorParam.r2s.piMethod

Method to compute R2* using the sequence of product approach. '1st echo' uses the ratio between the first echo and each subsequent echo; 'interleaved' uses the ratio between consecutive echo pairs

Default Value: ‘interleaved’

Examples:

algorParam.r2s.piMethod = '1st echo';

algorParam.r2s.piMethod = 'interleaved';