title: Dual tree fractional quaternion wavelet transform for disparity estimation.
abstract: This paper proposes a novel phase based approach for computing disparity as the optical flow from the given pair of consecutive images. A new dual tree fractional quaternion wavelet transform (FrQWT) is proposed by defining the 2D Fourier spectrum upto a single quadrant. In the proposed FrQWT, each quaternion wavelet consists of a real part (a real DWT wavelet) and three imaginary parts that are organized according to the quaternion algebra. First two FrQWT phases encode the shifts of image features in the absolute horizontal and vertical coordinate system, while the third phase has the texture information. The FrQWT allowed a multi-scale framework for calculating and adjusting local disparities and executing phase unwrapping from coarse to fine scales with linear computational efficiency.
authors.affiliation: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India. Electronic address: sanoj4ever@gmail.com.
authors.forename: Sanoj
authors.initials: S
authors.lastname: Kumar
authors.affiliation: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India. Electronic address: malikfma@iitr.ernet.in.
authors.forename: Sanjeev
authors.initials: S
authors.lastname: Kumar
authors.affiliation: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India. Electronic address: nsukvfma@iitr.ernet.in.
authors.forename: Nagarajan
authors.initials: N
authors.lastname: Sukavanam
authors.affiliation: Department of Computer Science, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India. Electronic address: balarfma@iitr.ernet.in.
authors.forename: Balasubramanian
authors.initials: B
authors.lastname: Raman
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D007090:Image Interpretation, Computer-Assisted / Q000379:methods; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D016011:Normal Distribution; D014785:Vision, Ocular; D058067:Wavelet Analysis
keywords: Complex wavelet transform; Disparity estimation; Fractional Hilbert transform; Fractional quaternion wavelet transform; Optical flow; Quaternion algebra