Properties of L1-TGV2: The one-dimensional case
By Kristian Bredies, Karl Kunisch, Tuomo Valkonen. 2013
60 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mathematics, Computer Vision and Pattern Recognition
View Paper: https://www.semanticscholar.org/paper/63daadc80eb01f0aea80af8567b57dcfc03fa723
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In Applied Mathematics
- Carola-Bibiane Schönlieb
- J. D. L. Reyes
- Tuomo Valkonen
- Kristian Bredies
- Luca Calatroni
- Cao Van Chung
In Computer Vision and Pattern Recognition
- J. D. L. Reyes
- Kristian Bredies
- Carola-Bibiane Schönlieb
- Luca Calatroni
- Cao Van Chung
- Tuomo Valkonen
- Fabian Pedregosa
Citations in the corpus
- Regularization of linear inverse problems with total generalized variation (2014, background): “In contrast to that, TGV(2) favors piecewise linear solutions which typically exhibit “polygonalization artifacts” in 3D-plots (or “second-order staircasing”, see [10] for a discussion in dimension one).”
- Bilevel approaches for learning of variational imaging models (2015, background): “hichseemstobemost relevantinimagingapplications[52,9]. For 2ˆR openandbounded,theICTVregulariserreads ICTV ;(u) := min v2W1;1( );rv2BV( ) kDur vk M( ;R 2)+ kDrvk : (21) Ontheotherhand,second-orderTGV[12,11]reads TGV2 ; (u) := min w2BD( ) kDu wk M( ; R2) + kEwk ( ;Sym ( )): (22) HereBD( ) := fw2L1( ;”