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Enhancement and Denoising by Complex Diffusion Processes
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/پریوش پور فرهاد
.PUBLICATION, DISTRIBUTION, ETC
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: علوم ریاضی
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، ۱۳۹۷
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، راشدی
PHYSICAL DESCRIPTION
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۱۲۰ص
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چاپی - الکترونیکی
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ریاضی کاربردی
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۱۳۹۷/۱۱/۱۴
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تبریز
SUMMARY OR ABSTRACT
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dinger 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 processسThe linear and nonlinear scale spaces, generated by the inherently real-valued diffusion equation, are generalized to complex diffusion processes, by incorporating the free Schro
PARALLEL TITLE PROPER
Parallel Title
Enhancement and Denoising by Complex Diffusion Processes