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Updated: May 4, 2026

Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
Published on: September 3, 2021
Dual tree fractional quaternion wavelet transform for disparity estimation.
Sanoj Kumar1, Sanjeev Kumar1, Nagarajan Sukavanam1
1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India.
This study introduces a novel phase-based method for calculating optical flow and image disparity using a new dual tree fractional quaternion wavelet transform (FrQWT). This approach enables efficient, multi-scale disparity computation and phase unwrapping for image analysis.
Area of Science:
- Computer Vision
- Image Processing
- Signal Analysis
Background:
- Optical flow and disparity estimation are crucial for understanding motion and depth in image sequences.
- Existing methods often face challenges with computational efficiency and accuracy, especially in handling complex image features.
Purpose of the Study:
- To propose a novel phase-based approach for computing disparity and optical flow.
- To introduce a new dual tree fractional quaternion wavelet transform (FrQWT) for enhanced image analysis.
Main Methods:
- Development of a new dual tree fractional quaternion wavelet transform (FrQWT) by defining the 2D Fourier spectrum in a single quadrant.
- Utilizing the real and imaginary parts of the FrQWT to encode horizontal, vertical shifts, and texture information.
- Implementing a multi-scale framework for disparity calculation and phase unwrapping from coarse to fine scales.
Main Results:
- The proposed FrQWT effectively encodes image feature shifts and texture information.
- The method allows for multi-scale adjustment of local disparities.
- Phase unwrapping is executed efficiently from coarse to fine scales with linear computational complexity.
Conclusions:
- The novel phase-based FrQWT approach offers an efficient and accurate method for disparity and optical flow computation.
- This technique provides a robust framework for multi-scale image analysis and feature extraction.
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