HARP-I: A Harmonic Phase Interpolation Method for the Estimation of Motion from Tagged MR Images

Hernan Mella, Joaquin Mura, Hui Wang, Michael D. Taylor, Radomir Chabiniok, Jaroslav Tintera, Julio Sotelo, Sergio Uribe

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We proposed a novel method called HARP-I, which enhances the estimation of motion from tagged Magnetic Resonance Imaging (MRI). The harmonic phase of the images is unwrapped and treated as noisy measurements of reference coordinates on a deformed domain, obtaining motion with high accuracy using Radial Basis Functions interpolations. Results were compared against Shortest Path HARP Refinement (SP-HR) and Sine-wave Modeling (SinMod), two harmonic image-based techniques for motion estimation from tagged images. HARP-I showed a favorable similarity with both methods under noise-free conditions, whereas a more robust performance was found in the presence of noise. Cardiac strain was better estimated using HARP-I at almost any motion level, giving strain maps with less artifacts. Additionally, HARP-I showed better temporal consistency as a new method was developed to fix phase jumps between frames. In conclusion, HARP-I showed to be a robust method for the estimation of motion and strain under ideal and non-ideal conditions.

Original languageEnglish (US)
Article number9320570
Pages (from-to)1240-1252
Number of pages13
JournalIEEE Transactions on Medical Imaging
Issue number4
StatePublished - Apr 2021


  • Cardiac MRI
  • cardiac strain
  • harmonic phase analysis
  • motion estimation
  • sine-wave modeling
  • tagged MRI

ASJC Scopus subject areas

  • Software
  • Radiological and Ultrasound Technology
  • Computer Science Applications
  • Electrical and Electronic Engineering


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