scholarly journals Interior Tomography Using 1D Generalized Total Variation. Part I: Mathematical Foundation

2015 ◽  
Vol 8 (1) ◽  
pp. 226-247 ◽  
Author(s):  
John Paul Ward ◽  
Minji Lee ◽  
Jong Chul Ye ◽  
Michael Unser
Keyword(s):  
Total Variation ◽  
Mathematical Foundation ◽  
Variation Part

scholarly journals Interior Tomography Using 1D Generalized Total Variation. Part II: Multiscale Implementation

2015 ◽  
Vol 8 (4) ◽  
pp. 2452-2486 ◽  
Author(s):  
Minji Lee ◽  
Yoseob Han ◽  
John Paul Ward ◽  
Michael Unser ◽  
Jong Chul Ye
Keyword(s):  
Total Variation ◽  
Variation Part

On Asymmetric Distances

2013 ◽  
Vol 1 ◽  
pp. 200-231 ◽  
Author(s):  
Andrea C.G. Mennucci
Keyword(s):  
Total Variation ◽  
Calculus Of Variations ◽  
Distance Function ◽  
Metric Space ◽  
Metric Spaces ◽  
Geodesic Segment ◽  
Intrinsic Metric ◽  
Typical Application ◽  
Variation Formula

Abstract In this paper we discuss asymmetric length structures and asymmetric metric spaces. A length structure induces a (semi)distance function; by using the total variation formula, a (semi)distance function induces a length. In the first part we identify a topology in the set of paths that best describes when the above operations are idempotent. As a typical application, we consider the length of paths defined by a Finslerian functional in Calculus of Variations. In the second part we generalize the setting of General metric spaces of Busemann, and discuss the newly found aspects of the theory: we identify three interesting classes of paths, and compare them; we note that a geodesic segment (as defined by Busemann) is not necessarily continuous in our setting; hence we present three different notions of intrinsic metric space.

DE-NOISING OF CT IMAGES USING COMBINED BIVARIATE SHRINKAGE AND ENHANCED TOTAL VARIATION TECHNIQUE

2018 ◽  
Vol 8 (4) ◽  
pp. 12
Author(s):  
DEVANAND BHONSLE ◽  
VIVEK KUMAR CHANDRA ◽  
SINHA G. R. ◽  
◽  
◽  
...  
Keyword(s):  
Total Variation ◽  
Ct Images ◽  
Bivariate Shrinkage ◽  
Variation Technique
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