DeepAI AI Chat
Log In Sign Up

Optimization of Structural Similarity in Mathematical Imaging

by   D. Otero, et al.
University of Waterloo
SKEMA Business School

It is now generally accepted that Euclidean-based metrics may not always adequately represent the subjective judgement of a human observer. As a result, many image processing methodologies have been recently extended to take advantage of alternative visual quality measures, the most prominent of which is the Structural Similarity Index Measure (SSIM). The superiority of the latter over Euclidean-based metrics have been demonstrated in several studies. However, being focused on specific applications, the findings of such studies often lack generality which, if otherwise acknowledged, could have provided a useful guidance for further development of SSIM-based image processing algorithms. Accordingly, instead of focusing on a particular image processing task, in this paper, we introduce a general framework that encompasses a wide range of imaging applications in which the SSIM can be employed as a fidelity measure. Subsequently, we show how the framework can be used to cast some standard as well as original imaging tasks into optimization problems, followed by a discussion of a number of novel numerical strategies for their solution.


page 28

page 30

page 33


High Dynamic Range Imaging by Perceptual Logarithmic Exposure Merging

In this paper we emphasize a similarity between the Logarithmic-Type Ima...

Convergence analysis for image interpolation in terms of the cSSIM

Assessing the similarity of two images is a complex task that has attrac...

Deep Learning for HDR Imaging: State-of-the-Art and Future Trends

High dynamic range (HDR) imaging is a technique that allows an extensive...

Determining Image similarity with Quasi-Euclidean Metric

Image similarity is a core concept in Image Analysis due to its extensiv...

Simultaneous Registration of Image Sequences -- a novel singular value based images similarity measure

The comparison of images is an important task in image processing. For a...