Title
Mapping-Based Image Diffusion.
Abstract
In this work, we introduce a novel tensor-based functional for targeted image enhancement and denoising. Via explicit regularization, our formulation incorporates application-dependent and contextual information using first principles. Few works in literature treat variational models that describe both application-dependent information and contextual knowledge of the denoising problem. We prove the existence of a minimizer and present results on tensor symmetry constraints, convexity, and geometric interpretation of the proposed functional. We show that our framework excels in applications where nonlinear functions are present such as in gamma correction and targeted value range filtering. We also study general denoising performance where we show comparable results to dedicated PDE-based state-of-the-art methods.
Year
DOI
Venue
2017
https://doi.org/10.1007/s10851-016-0672-6
Journal of Mathematical Imaging and Vision
Keywords
DocType
Volume
Image enhancement,Denoising,PDE,Diffusion,Gradient energy tensor,Structure tensor
Journal
57
Issue
ISSN
Citations 
3
0924-9907
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Freddie Åström1519.04
Michael Felsberg22419130.29
George Baravdish3155.13