Image enhancement and denoising by complex diffusion processes

被引：345

作者：

Gilboa, G ^{[1
]}

Sochen, N

Zeevi, YY

机构：

[1] Technion Israel Inst Technol, Dept Elect Engn, IL-32000 Haifa, Israel

[2] Tel Aviv Univ, Dept Appl Math, IL-69978 Tel Aviv, Israel

来源：

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE | 2004年 / 26卷 / 08期

关键词：

scale-space; image filtering; image denoising; image enhancement; nonlinear diffusion; complex diffusion; edge detection; shock filters;

D O I：

10.1109/TPAMI.2004.47

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The linear and nonlinear scale spaces, generated by the inherently real-valued diffusion equation, are generalized to complex diffusion processes, by incorporating the free Schrodinger equation. A fundamental solution for the linear case of the complex diffusion equation is developed. Analysis of its behavior shows that the generalized diffusion process combines properties of both forward and inverse diffusion. We prove that the imaginary part is a smoothed second derivative, scaled by time, when the complex diffusion coefficient approaches the real axis. Based on this observation, we develop two examples of nonlinear complex processes, useful in image processing: a regularized shock filter for image enhancement and a ramp preserving denoising process.

引用

页码：1020 / 1036

页数：17

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