Skip to main content

Accelerated radially encoded tissue phase mapping


Velocity measurements of the heart muscle (Tissue Phase Mapping, TPM) can be used to quantify asynchrony or abnormal motion patterns [1]. However, long scan times restrict the clinical usability of these measurements. We investigate the use of accelerated radial acquisition to benefit from its unique motion artifact properties.


In 3 healthy volunteers, a mid-level short axis slice was acquired at 3 T (Achieva, Philips) using a 32-channel cardiac coil. Two types of segmented, triggered, and gated velocity encoding sequences were used: a Cartesian acquisition (fully sampled; R = 1) and radial acquisitions with undersampling factors of R = 1,3, and 6. Acquisition parameters were: FOV = 3402 mm2, resolution = 22x8 mm3, acq. matrix = 1722, α = 15°, 3 k-lines/segment, gating window = 6 mm (except for the radial acquisitions in one volunteer: 8 mm), phase interval≈31 ms, 4-point balanced velocity encoding (Hadamard) with VENC = 30 cm/s. TR/TE = 6.3/4.6 ms (Cartesian) and TR/TE = 6.1/3.3 ms (radial). Reconstructed velocities were exported from the scanner. Higher undersampling was analyzed from a similar radial acquisition (R = 1) of a beating heart phantom [2] by leaving out profiles to simulate undersampling factors of R = 2 to 10. Each velocity encoding direction was reconstructed iteratively in Matlab by an intermediately regularized sparse SENSE algorithm with temporal total variation regularization [3]. Reconstructed in-plane and through-plane velocities were further processed in Matlab. Background phase errors were corrected according to a linear model. Median radial [vr(t)], circumferential [vc(t)] and longitudinal [vl(t)] velocities were obtained for each cardiac phase t and corrected by their mean velocity over time. Velocity curves were compared relative to fully sampled data (in vivo: Cartesian acquisition) by correlation coefficient CC. SNR of velocities within the myocardium was calculated as local mean to standard deviation ratio and averaged over all cardiac phases and volunteers.


Figure 1a shows anatomical and velocity images exemplarily in one volunteer. Image quality is comparable for Cartesian and radial acquisition with all investigated undersampling factors, although noise is slightly increased for higher R. Median velocity curves (Figure 1b) give comparable results for all acquisitions. Quantitatively, SNR is decreased to 63% of the original value for in vivo data, but SNR loss for iteratively reconstructed phantom data is 17% at worst (see Figure 2). Median velocity curves are preserved (CC > .97, Figure 2) for all R in vivo and with the phantom.

Figure 1

(a) Anatomical and velocity images from Cartesian and radial acquisition in a volunteer. Although noise is slightly increased for higher undersampling, overall image quality is preserved. (b) Median radial, circumferential and longitudinal velocities of the same volunteer show almost no difference.

Figure 2

Quantitative analysis of undersampling effects. Top: Average correlation coefficient (CC) of median velocities with reference (fully sampled) shows no corruption of velocities in vivo and the phantom (all CC > .97). Bottom: Averaged signal to noise ratio (SNR) within the myocardium relative to fully sampled reference. While only small SNR loss is found in the simulated phantom undersampling (rel. SNR > .83), relative SNR in vivo is decreased to 63% for R = 6.


Radial TPM is feasible in vivo and yields comparable results to Cartesian TPM. Acquisition time can be saved by acquiring data with radial undersampling. Higher undersampling factors can be reached by using iterative reconstruction methods, as the phantom study suggests.


  1. 1.

    Lutz, et al: JCMR. 2012, 14: 74-

    Google Scholar 

  2. 2.

    Manzke, et al: ISMRM. 2010, #3378-

    Google Scholar 

  3. 3.

    Wundrak, et al: ESMRMB. 2012, #691.

    Google Scholar 

Download references

Author information



Corresponding author

Correspondence to Jan Paul.

Rights and permissions

This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The Creative Commons Public Domain Dedication waiver ( applies to the data made available in this article, unless otherwise stated.

Reprints and Permissions

About this article

Cite this article

Paul, J., Wundrak, S., Bernhardt, P. et al. Accelerated radially encoded tissue phase mapping. J Cardiovasc Magn Reson 16, W21 (2014).

Download citation


  • Total Variation Regularization
  • Velocity Encode
  • Balance Velocity
  • Standard Deviation Ratio
  • Iterative Reconstruction Method