Cover Image

Image labeling by assignment

We introduce a novel geometric approach to the image labeling problem. Abstracting from specific labeling applications, a general objective function is defined on a manifold of stochastic matrices, whose elements assign prior data that are given in any metric space, to observed image measurements. T...

Full description

Saved in:
Bibliographic Details
Main Authors: Åström, Freddie (Author) , Petra, Stefania (Author) , Schmitzer, Bernhard (Author) , Schnörr, Christoph (Author)
Format: Article (Journal)
Language:English
Published: 12 January 2017
In: Journal of mathematical imaging and vision
Year: 2017, Volume: 58, Issue: 2, Pages: 211-238
ISSN:1573-7683
DOI:10.1007/s10851-016-0702-4
Online Access:Verlag, Volltext: http://dx.doi.org/10.1007/s10851-016-0702-4
Verlag, Volltext: https://link.springer.com/article/10.1007/s10851-016-0702-4
Verlag, Volltext: https://link.springer.com/content/pdf/10.1007%2Fs10851-016-0702-4.pdf
Get full text
Author Notes:Freddie Åström, Stefania Petra, Bernhard Schmitzer, Christoph Schnörr

MARC

LEADER 00000caa a2200000 c 4500
001 1570624453
003 DE-627
005 20220814090118.0
007 cr uuu---uuuuu
008 180308s2017 xx |||||o 00| ||eng c
024 7 |a 10.1007/s10851-016-0702-4  |2 doi 
035 |a (DE-627)1570624453 
035 |a (DE-576)500624453 
035 |a (DE-599)BSZ500624453 
035 |a (OCoLC)1340994026 
040 |a DE-627  |b ger  |c DE-627  |e rda 
041 |a eng 
084 |a 27  |2 sdnb 
100 1 |a Åström, Freddie  |e VerfasserIn  |0 (DE-588)1153903539  |0 (DE-627)1015504132  |0 (DE-576)500624267  |4 aut 
245 1 0 |a Image labeling by assignment  |c Freddie Åström, Stefania Petra, Bernhard Schmitzer, Christoph Schnörr 
264 1 |c 12 January 2017 
300 |a 28 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Gesehen am 08.03.2018 
520 |a We introduce a novel geometric approach to the image labeling problem. Abstracting from specific labeling applications, a general objective function is defined on a manifold of stochastic matrices, whose elements assign prior data that are given in any metric space, to observed image measurements. The corresponding Riemannian gradient flow entails a set of replicator equations, one for each data point, that are spatially coupled by geometric averaging on the manifold. Starting from uniform assignments at the barycenter as natural initialization, the flow terminates at some global maximum, each of which corresponds to an image labeling that uniquely assigns the prior data. Our geometric variational approach constitutes a smooth non-convex inner approximation of the general image labeling problem, implemented with sparse interior-point numerics in terms of parallel multiplicative updates that converge efficiently. 
700 1 |a Petra, Stefania  |e VerfasserIn  |0 (DE-588)1065905580  |0 (DE-627)816924961  |0 (DE-576)425560155  |4 aut 
700 1 |a Schmitzer, Bernhard  |e VerfasserIn  |0 (DE-588)1052204724  |0 (DE-627)787990426  |0 (DE-576)407956654  |4 aut 
700 1 |a Schnörr, Christoph  |e VerfasserIn  |0 (DE-588)1023033348  |0 (DE-627)717351017  |0 (DE-576)168404540  |4 aut 
773 0 8 |i Enthalten in  |t Journal of mathematical imaging and vision  |d Dordrecht [u.a.] : Springer Science + Business Media B.V, 1992  |g 58(2017), 2, Seite 211-238  |h Online-Ressource  |w (DE-627)271179465  |w (DE-600)1479363-5  |w (DE-576)110512847  |x 1573-7683  |7 nnas  |a Image labeling by assignment 
773 1 8 |g volume:58  |g year:2017  |g number:2  |g pages:211-238  |g extent:28  |a Image labeling by assignment 
856 4 0 |u http://dx.doi.org/10.1007/s10851-016-0702-4  |x Verlag  |x Resolving-System  |3 Volltext 
856 4 0 |u https://link.springer.com/article/10.1007/s10851-016-0702-4  |x Verlag  |3 Volltext 
856 4 0 |u https://link.springer.com/content/pdf/10.1007%2Fs10851-016-0702-4.pdf  |x Verlag  |3 Volltext 
951 |a AR 
992 |a 20180308 
993 |a Article 
994 |a 2017 
998 |g 1023033348  |a Schnörr, Christoph  |m 1023033348:Schnörr, Christoph  |d 110000  |d 110200  |d 110000  |d 110400  |d 700000  |d 708000  |e 110000PS1023033348  |e 110200PS1023033348  |e 110000PS1023033348  |e 110400PS1023033348  |e 700000PS1023033348  |e 708000PS1023033348  |k 0/110000/  |k 1/110000/110200/  |k 0/110000/  |k 1/110000/110400/  |k 0/700000/  |k 1/700000/708000/  |p 3 
998 |g 1065905580  |a Petra, Stefania  |m 1065905580:Petra, Stefania  |d 110000  |d 110200  |d 110000  |d 110400  |e 110000PP1065905580  |e 110200PP1065905580  |e 110000PP1065905580  |e 110400PP1065905580  |k 0/110000/  |k 1/110000/110200/  |k 0/110000/  |k 1/110000/110400/  |p 2 
998 |g 1153903539  |a Åström, Freddie  |m 1153903539:Åström, Freddie  |d 700000  |d 708070  |e 700000PA1153903539  |e 708070PA1153903539  |k 0/700000/  |k 1/700000/708070/  |p 1  |x j 
999 |a KXP-PPN1570624453  |e 3002069817 
BIB |a Y 
SER |a journal 
JSO |a {"person":[{"family":"Åström","display":"Åström, Freddie","given":"Freddie","role":"aut"},{"given":"Stefania","role":"aut","display":"Petra, Stefania","family":"Petra"},{"role":"aut","given":"Bernhard","display":"Schmitzer, Bernhard","family":"Schmitzer"},{"given":"Christoph","role":"aut","display":"Schnörr, Christoph","family":"Schnörr"}],"origin":[{"dateIssuedDisp":"12 January 2017","dateIssuedKey":"2017"}],"note":["Gesehen am 08.03.2018"],"type":{"media":"Online-Ressource","bibl":"article-journal"},"title":[{"title_sort":"Image labeling by assignment","title":"Image labeling by assignment"}],"language":["eng"],"name":{"displayForm":["Freddie Åström, Stefania Petra, Bernhard Schmitzer, Christoph Schnörr"]},"physDesc":[{"extent":"28 S."}],"recId":"1570624453","relHost":[{"language":["eng"],"part":{"extent":"28","volume":"58","year":"2017","text":"58(2017), 2, Seite 211-238","pages":"211-238","issue":"2"},"origin":[{"dateIssuedDisp":"1992-","publisherPlace":"Dordrecht [u.a.] ; Dordrecht [u.a.]","publisher":"Springer Science + Business Media B.V ; Kluwer","dateIssuedKey":"1992"}],"note":["Gesehen am 01.11.05"],"type":{"media":"Online-Ressource","bibl":"periodical"},"title":[{"title":"Journal of mathematical imaging and vision","title_sort":"Journal of mathematical imaging and vision"}],"disp":"Image labeling by assignmentJournal of mathematical imaging and vision","id":{"issn":["1573-7683"],"eki":["271179465"],"zdb":["1479363-5"]},"recId":"271179465","pubHistory":["1.1992 -"],"physDesc":[{"extent":"Online-Ressource"}]}],"id":{"doi":["10.1007/s10851-016-0702-4"],"eki":["1570624453"]}} 
SRT |a ASTROEMFREIMAGELABEL1220 

Similar Items