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A fast normalized cross-correlation calculation method for motion estimation.

Jianwen Luo1, Elisa Konofagou

  • 1Department of Radiology, Columbia University, New York, NY, USA.

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|June 10, 2010
PubMed
Summary
This summary is machine-generated.

A new method significantly speeds up ultrasound motion estimation using sum tables for Normalized Cross-Correlation (NCC) calculations. This technique achieves real-time, high-resolution imaging without compromising accuracy, enhancing applications like elastography.

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Area of Science:

  • Medical imaging
  • Biomedical engineering
  • Signal processing

Background:

  • High-precision motion estimation is crucial for advanced ultrasound techniques like Doppler and elastography.
  • Normalized Cross-Correlation (NCC) is a leading motion estimation method but suffers from high computational cost, especially with Radio Frequency (RF) signals.

Purpose of the Study:

  • To adapt a sum table-based method for rapid NCC calculation in ultrasound motion estimation.
  • To evaluate the speed enhancement and maintain the quality of motion estimation.

Main Methods:

  • Adapted a sum table method to compute both the numerator and denominator of NCC, eliminating redundant calculations.
  • Incorporated a motion estimation-based search region in sum table construction, unlike previous methods.
  • Applied the method to RF signals from a human abdominal aorta in vivo.

Main Results:

  • Achieved a significant reduction in computational cost compared to direct NCC calculation.
  • Demonstrated real-time motion estimation at a high frame rate of 310 frames/s for typical parameters.
  • Maintained high spatial resolution and did not increase bias or variance in motion estimation.

Conclusions:

  • The proposed sum table method enables simultaneous high quality, high spatial resolution, and high calculation speed for ultrasound motion estimation.
  • The method is efficient, flexible, and extends to 2-D NCC and other algorithms, with potential applications in optical flow and image registration.