On the Mathematical Properties of the Structural Similarity Index

DOI10.1109/TIP.2011.2173206zbMath1373.94051WikidataQ51507354 ScholiaQ51507354MaRDI QIDQ5372753

Dominique Brunet, Zhou Wang, Edward R. Vrscay

Publication date: 27 October 2017

Published in: IEEE Transactions on Image Processing (Search for Journal in Brave)

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Axiomatic and generalized convexity (52A01) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (13)

Joint reconstruction and low-rank decomposition for dynamic inverse problems ⋮ Image similarity assessment based on coefficients of spatial association ⋮ Convergence Results in Image Interpolation With the Continuous SSIM ⋮ Optimizing Image Quality ⋮ The codispersion map: a graphical tool to visualize the association between two spatial variables ⋮ Index spaces and standard indices in metric modelling ⋮ A new method to solve rotated template matching using metaheuristic algorithms and the structural similarity index ⋮ A new class of wavelet-based metrics for image similarity assessment ⋮ A framework to combine vector-valued metrics into a scalar-metric: application to data comparison. ⋮ Geodesics of the structural similarity index ⋮ Optimization of structural similarity in mathematical imaging ⋮ Some theoretical links between shortest path filters and minimum spanning tree filters ⋮ Equivariant neural networks for inverse problems

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