Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ORTHOGONAL TWO-DIRECTION WAVELETS OF ORDER 2 FROM ORTHOGONAL SYMMETRIC/ANTISYMMETRIC MULTIWAVELETS

  • KWON, SOON-GEOL (Department of Mathematics Education, Sunchon National University)
  • Received : 2016.08.09
  • Accepted : 2016.08.23
  • Published : 2017.01.30
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Abstract

A method for recovering Chui-Lian's orthogonal symmetric/antisymmetric multiwavelets of order 2 from orthogonal two-direction wavelets of order 2 was proposed by Yang and Xie. In this paper we pursue the converse, that is, we propose a method for constructing orthogonal two-direction wavelets of order 2 from orthogonal symmetric/antisymmetric multiwavelets of order 2.

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References

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  1. ORTHOGONAL TWO-DIRECTION REFINABLE FUNCTION OF ORDER 3 vol.37, pp.3, 2019, https://doi.org/10.14317/jami.2019.307
  2. Approximation order of two-direction multiscaling functions vol.49, pp.8, 2019, https://doi.org/10.1216/rmj-2019-49-8-2669