Dyadic wavelet-based nonlinear conduction equation: Theory and applications

C. J.A. Sze; H. Y.M. Liao; Shih-Kun Huang; C. S. Lu

doi:10.1109/ICIP.2000.901100

Dyadic wavelet-based nonlinear conduction equation: Theory and applications

C. J.A. Sze, H. Y.M. Liao^*, Shih-Kun Huang, C. S. Lu

^*Corresponding author for this work

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Research output: Contribution to conference › Paper › peer-review

Abstract

In this paper, we proposed a new dyadic wavelet-based conduction approach to take place the nonlinear diffusion equation for selective image smoothing. We also proved that the proposed iterated system always satisfies the so-called maximum-minimum principle [1, 2] no matter what kind of wavelet basis is used. Since the proposed approach does not require to solve a PDE, it is therefore more efficient and accurate than the conventional nonlinear diffusion/conduction-based methods. Experimental results using 1-D synthetic data and a real image demonstrated that the proposed method can efficiently remove noises and preserve real data.

Original language	English
Pages	880-883
Number of pages	4
DOIs	https://doi.org/10.1109/ICIP.2000.901100
State	Published - 1 Dec 2000
Event	International Conference on Image Processing (ICIP 2000) - Vancouver, BC, Canada Duration: 10 Sep 2000 → 13 Sep 2000

Conference

Conference	International Conference on Image Processing (ICIP 2000)
Country/Territory	Canada
City	Vancouver, BC
Period	10/09/00 → 13/09/00

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10.1109/ICIP.2000.901100

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title = "Dyadic wavelet-based nonlinear conduction equation: Theory and applications",

abstract = "In this paper, we proposed a new dyadic wavelet-based conduction approach to take place the nonlinear diffusion equation for selective image smoothing. We also proved that the proposed iterated system always satisfies the so-called maximum-minimum principle [1, 2] no matter what kind of wavelet basis is used. Since the proposed approach does not require to solve a PDE, it is therefore more efficient and accurate than the conventional nonlinear diffusion/conduction-based methods. Experimental results using 1-D synthetic data and a real image demonstrated that the proposed method can efficiently remove noises and preserve real data.",

author = "Sze, {C. J.A.} and Liao, {H. Y.M.} and Shih-Kun Huang and Lu, {C. S.}",

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AU - Sze, C. J.A.

AU - Liao, H. Y.M.

AU - Huang, Shih-Kun

AU - Lu, C. S.

PY - 2000/12/1

Y1 - 2000/12/1

N2 - In this paper, we proposed a new dyadic wavelet-based conduction approach to take place the nonlinear diffusion equation for selective image smoothing. We also proved that the proposed iterated system always satisfies the so-called maximum-minimum principle [1, 2] no matter what kind of wavelet basis is used. Since the proposed approach does not require to solve a PDE, it is therefore more efficient and accurate than the conventional nonlinear diffusion/conduction-based methods. Experimental results using 1-D synthetic data and a real image demonstrated that the proposed method can efficiently remove noises and preserve real data.

AB - In this paper, we proposed a new dyadic wavelet-based conduction approach to take place the nonlinear diffusion equation for selective image smoothing. We also proved that the proposed iterated system always satisfies the so-called maximum-minimum principle [1, 2] no matter what kind of wavelet basis is used. Since the proposed approach does not require to solve a PDE, it is therefore more efficient and accurate than the conventional nonlinear diffusion/conduction-based methods. Experimental results using 1-D synthetic data and a real image demonstrated that the proposed method can efficiently remove noises and preserve real data.

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Y2 - 10 September 2000 through 13 September 2000

ER -

Dyadic wavelet-based nonlinear conduction equation: Theory and applications

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