Brain image completion by Bayesian tensor decomposition

Author(s):  
Lihua Gui ◽  
Qibin Zhao ◽  
Jianting Cao
2020 ◽  
Vol 10 (3) ◽  
pp. 797 ◽  
Author(s):  
Rafał Zdunek ◽  
Tomasz Sadowski

The issue of image completion has been developed considerably over the last two decades, and many computational strategies have been proposed to fill-in missing regions in an incomplete image. When the incomplete image contains many small-sized irregular missing areas, a good alternative seems to be the matrix or tensor decomposition algorithms that yield low-rank approximations. However, this approach uses heuristic rank adaptation techniques, especially for images with many details. To tackle the obstacles of low-rank completion methods, we propose to model the incomplete images with overlapping blocks of Tucker decomposition representations where the factor matrices are determined by a hybrid version of the Gaussian radial basis function and polynomial interpolation. The experiments, carried out for various image completion and resolution up-scaling problems, demonstrate that our approach considerably outperforms the baseline and state-of-the-art low-rank completion methods.


2009 ◽  
Vol 36 (11) ◽  
pp. 1394-1401
Author(s):  
Yang YANG ◽  
Hong-Yan BI ◽  
Jiu-Ju WANG

2016 ◽  
Vol 11 (2) ◽  
pp. 114-120 ◽  
Author(s):  
C. Peter Devadoss ◽  
Balasubramanian Sankaragomathi ◽  
Thirugnanasambantham Monica

Author(s):  
Walter Ott

Descartes’s treatment of perception in the Optics, though published before the Meditations, contains a distinct account of sensory experience. The end of the chapter suggests some reasons for this oddity, but that the two accounts are distinct is difficult to deny. Descartes in the present work topples the brain image from its throne. In its place, we have two mechanisms, one purely causal, the other inferential. Where the proper sensibles are concerned, the ordination of nature suffices to explain why a given sensation is triggered on the occasion of a given brain motion. The same is true with regard to the common sensibles. But on top of this purely causal story, Descartes re-introduces his doctrine of natural geometry.


Author(s):  
Walter Ott

Despite its difference in aspiration, the Meditations preserves the basic structure of perceptual experience outlined in Descartes’s earliest works. The chapter explores Descartes’s notion of an idea and uses a developmental reading to clear up the mystery surrounding material falsity. In the third Meditation, our protagonist does not yet know enough about extension in order to be able to tell whether her idea of cold is an idea of a real feature of bodies or merely the idea of a sensation. By the time she reaches the end of her reflections, she has learned that sensible qualities are at most sensations. As in his earliest stages, Descartes believes that the real work of perceiving the geometrical qualities of bodies is done by the brain image, which he persists in calling an ‘idea,’ at least when it is the object of mental awareness.


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