TY - CONF T1 - A Multi-Layer Phase Field Model for Extracting Multiple Near-Circular Objects T2 - International Conference on Pattern Recognition (ICPR) Y1 - 2012 A1 - Csaba Molnar A1 - Zoltan Kato A1 - Ian Jermyn ED - Jan-Olof Eklundh ED - Yuichi Ohta ED - Steven Tanimoto AB -

This paper proposes a functional that assigns low `energy' to sets of subsets of the image domain consisting of a number of possibly overlapping near-circular regions of approximately a given radius: a `gas of circles'. The model can be used as a prior for object extraction whenever the objects conform to the `gas of circles' geometry, e.g. cells in biological images. Configurations are represented by a multi-layer phase field. Each layer has an associated function, regions being defined by thresholding. Intra-layer interactions assign low energy to configurations consisting of non-overlapping near-circular regions, while overlapping regions are represented in separate layers. Inter-layer interactions penalize overlaps. Here we present a theoretical and experimental analysis of the model.

 

JF - International Conference on Pattern Recognition (ICPR) PB - IEEE CY - Tsukuba, Japan SN - 978-1-4673-2216-4 ER - TY - CHAP T1 - A Multi-Layer 'Gas of Circles' Markov Random Field Model for the Extraction of Overlapping Near-Circular Objects T2 - Advances Concepts for Intelligent Vision Systems (ACIVS) Y1 - 2011 AB -

We propose a multi-layer binary Markov random field (MRF) model that assigns high probability to object configurations in the image domain consisting of an unknown number of possibly touching or overlapping near-circular objects of approximately a given size. Each layer has an associated binary field that specifies a region corresponding to objects. Overlapping objects are represented by regions in different layers. Within each layer, long-range interactions favor connected components of approximately circular shape, while regions in different layers that overlap are penalized. Used as a prior coupled with a suitable data likelihood, the model can be used for object extraction from images, e.g. cells in biological images or densely-packed tree crowns in remote sensing images. We present a theoretical and experimental analysis of the model, and demonstrate its performance on various synthetic and biomedical images.

JF - Advances Concepts for Intelligent Vision Systems (ACIVS) T3 - Lecture Notes in Computer Science PB - Springer-Verlag CY - Ghent, Belgium SN - 978-3-642-23686-0 UR - http://www.inf.u-szeged.hu/ipcg/publications/Year/2011.complete.xml#Nemeth-etal2011 N1 - UT: 000306962700016 JO - LNCS ER - TY - JOUR T1 - A higher-order active contour model of a 'gas of circles' and its application to tree crown extraction JF - PATTERN RECOGNITION Y1 - 2009 A1 - Peter Horvath A1 - Ian Jermyn A1 - Zoltan Kato A1 - Josiane Zerubia VL - 42 SN - 0031-3203 IS - 5 N1 - UT: 000263431200011doi: 10.1016/j.patcog.2008.09.008 JO - PATTERN RECOGN ER - TY - CONF T1 - Kör alakú objektumok szegmentálása Markov mező segítségével T2 - A Képfeldolgozók és Alakfelismerők Társaságának konferenciája - KÉPAF 2009 Y1 - 2009 JF - A Képfeldolgozók és Alakfelismerők Társaságának konferenciája - KÉPAF 2009 PB - Akaprint CY - Budapest UR - http://vision.sztaki.hu/~kepaf/kepaf2009_CD/files/116-4-MRFCircle08.pdf N1 - Received the Attila Kuba Prize ER - TY - CHAP T1 - A Markov random field model for extracting near-circular shapes T2 - 16th IEEE International Conference on Image Processing (ICIP) Y1 - 2009 A1 - Tamás Blaskovics A1 - Zoltan Kato A1 - Ian Jermyn AB -

We propose a binary Markov Random Field (MRF) model that assigns high probability to regions in the image domain consisting of an unknown number of circles of a given radius. We construct the model by discretizing the 'gas of circles' phase field model in a principled way, thereby creating an 'equivalent'MRF. The behaviour of the resultingMRF model is analyzed, and the performance of the new model is demonstrated on various synthetic images as well as on the problem of tree crown detection in aerial images. ©2009 IEEE.

JF - 16th IEEE International Conference on Image Processing (ICIP) PB - IEEE CY - Cairo, Egypt SN - 978-1-4244-5653-6 N1 - UT: 000280464300268ScopusID: 77951945383doi: 10.1109/ICIP.2009.5413472 ER - TY - CONF T1 - A 'gas of Circles' Phase Field Model and its Application to Tree Crown Extraction T2 - Proceedings of the European Signal Processing Conference (EUSIPCO) Y1 - 2007 A1 - Peter Horvath A1 - Ian Jermyn ED - Marek Domanski ED - Ryszard Stasinski ED - Maciej Bartkowiak JF - Proceedings of the European Signal Processing Conference (EUSIPCO) CY - Poznan, Poland ER - TY - CONF T1 - Kör alakú objektumok szegmentálása magasabb rendű aktív kontúr modellek segítségével T2 - A Képfeldolgozók és Alakfelismerők Társaságának konferenciája - KÉPAF 2007 Y1 - 2007 JF - A Képfeldolgozók és Alakfelismerők Társaságának konferenciája - KÉPAF 2007 PB - Képfeldolgozók és Alakfelismerők Társasága CY - Debrecen ER - TY - CONF T1 - A New Phase Field Model of a 'gas of Circles' for Tree Crown Extraction from Aerial Images T2 - Proceedings of the International Conference on Computer Analysis of Images and Patterns (CAIP) Y1 - 2007 A1 - Peter Horvath A1 - Ian Jermyn ED - Walter G. Kropatsch ED - Martin Kampel ED - Allan Hanbury JF - Proceedings of the International Conference on Computer Analysis of Images and Patterns (CAIP) CY - Vienna, Austria VL - 4673 ER - TY - CHAP T1 - A higher-order active contour model for tree detection T2 - Proceedings of the18th International Conference on Pattern Recognition, ICPR 2006 Y1 - 2006 AB -

We present a model of a 'gas of circles', the ensemble of regions in the image domain consisting of an unknown number of circles with approximately fixed radius and short range repulsive interactions, and apply it to the extraction of tree crowns from aerial images. The method uses the recently introduced 'higher order active contours' (HOACs), which incorporate long-range interactions between contour points, and thereby include prior geometric information without using a template shape. This makes them ideal when looking for multiple instances of an entity in an image. We study an existing HOAC model for networks, and show via a stability calculation that circles stable to perturbations are possible for constrained parameter sets. Combining this prior energy with a data term, we show results on aerial imagery that demonstrate the effectiveness of the method and the need for prior geometric knowledge. The model has many other potential applications. © 2006 IEEE.

JF - Proceedings of the18th International Conference on Pattern Recognition, ICPR 2006 PB - IEEE N1 - ScopusID: 34047219865doi: 10.1109/ICPR.2006.79 ER - TY - CONF T1 - A Higher-Order Active Contour Model for Tree Detection T2 - Proceedings of the International Conference on Pattern Recognition (ICPR) Y1 - 2006 A1 - Peter Horvath A1 - Ian Jermyn A1 - Zoltan Kato A1 - Josiane Zerubia AB -

We present a model of a 'gas of circles', the ensemble of regions in the image domain consisting of an unknown number of circles with approximately fixed radius and short range repulsive interactions, and apply it to the extraction of tree crowns from aerial images. The method uses the recently introduced 'higher order active contours' (HOACs), which incorporate long-range interactions between contour points, and thereby include prior geometric information without using a template shape. This makes them ideal when looking for multiple instances of an entity in an image. We study an existing HOAC model for networks, and show via a stability calculation that circles stable to perturbations are possible for constrained parameter sets. Combining this prior energy with a data term, we show results on aerial imagery that demonstrate the effectiveness of the method and the need for prior geometric knowledge. The model has many other potential applications.

JF - Proceedings of the International Conference on Pattern Recognition (ICPR) PB - IAPR CY - Hong Kong, China VL - 2 ER - TY - ABST T1 - A Higher-Order Active Contour Model of a `Gas of Circles' and its Application to Tree Crown Extraction Y1 - 2006 ER - TY - CHAP T1 - An Improved `Gas of Circles' Higher-Order Active Contour Model and its Application to Tree Crown Extraction T2 - Proceedings of Indian Conference on Computer Vision, Graphics and Image Processing (ICVGIP) Y1 - 2006 JF - Proceedings of Indian Conference on Computer Vision, Graphics and Image Processing (ICVGIP) PB - Springer Verlag CY - Berlin; Heidelberg; New York N1 - doi: 10.1007/11949619_14 ER - TY - CHAP T1 - Shape Moments for Region Based Active Contours T2 - Joint Hungarian-Austrian conference on image processing and pattern recognition. 5th conference of the Hungarian Association for Image Processing and Pattern Recognition (KÉPAF), 29th workshop of the Austrian Association for Pattern Reco Y1 - 2005 JF - Joint Hungarian-Austrian conference on image processing and pattern recognition. 5th conference of the Hungarian Association for Image Processing and Pattern Recognition (KÉPAF), 29th workshop of the Austrian Association for Pattern Reco PB - OCG CY - Vienna ER -