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On the Design of Two-Dimensional Quincunx Filterbanks with Directional Vanishing Moment Based on Eigenfilter Approach

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Abstract

This paper presents a two-dimensional (2-D) eigenfilter technique to design 2-D perfect reconstruction (PR) filterbanks with directional vanishing moment (DVM). In this paper, we first introduce the DVM constraint for 2-D directional filterbank design. The proposed DVM constraint is imposed in 2-D eigenfilter formulation to obtain maximally flat 2-D low-pass analysis filter. Then, we use this designed analysis filter in 2-D time-domain formulation of PR condition to obtain complementary low-pass synthesis filters. The PR and DVM constraints are imposed to obtain 2-D low-pass synthesis filter. It is shown that the proposed 2-D filters satisfy the PR criteria with prescribed DVM. The performance of 2-D PR filters is evaluated in image denoising application. The performance of designed filterbank is compared with well-known existing methods in terms of peak signal-to-noise ratio to validate the results.

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Authors and Affiliations

  1. Department of Instrumentation Engineering, Ramrao Adik Institute of Technology, Mumbai, India

    Mukund B. Nagare

  2. Philips Healthcare Innovation Center, Pune, India

    Bhushan D. Patil

  3. Department of Instrumentation Engineering, SGGS Institute of Engineering and Technology, Nanded, India

    Mukund B. Nagare & Raghunath S. Holambe

Authors
  1. Mukund B. Nagare
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  2. Bhushan D. Patil
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  3. Raghunath S. Holambe
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Correspondence to Bhushan D. Patil.

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Nagare, M.B., Patil, B.D. & Holambe, R.S. On the Design of Two-Dimensional Quincunx Filterbanks with Directional Vanishing Moment Based on Eigenfilter Approach. Circuits Syst Signal Process 39, 4482–4498 (2020). https://doi.org/10.1007/s00034-020-01379-w

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