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Peter Horvath
Former PhD Student, INRIA / MAE / University of Szeged
 Keywords : Variational methods, High Order Active Contours, Active contours, Segmentation, Trees / Forest
 Contact :
| Mail : | | PeterdotHorvathatinriadotfr | | Phone : | | (33)4-92-38-75-67 | | Fax : | | (33)4-92-38-76-43 | | Postal adress : | | INRIA Sophia Antipolis
2004, route des Lucioles
06902 Sophia Antipolis Cedex
France | | Webpage : | | visit ! |
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| Abstract :
| I'm interested in shape modelling and variational methods, presently I'm working on a new quadratic energy functional for modelling circle based shapes, which can be used to detect trees from satellite and aerial images. |
Last publications in Ariana Research Group :
A higher-order active contour model of a ‘gas of circles' and its application to tree crown extraction.
P. Horvath and I. H. Jermyn and Z. Kato and J. Zerubia. Pattern Recognition, 42(5): pages 699-709, May 2009.
Keywords : Shape, Higher-order, Active contour, Gas of circles, Tree Crown Extraction, Bayesian.
@ARTICLE{Horvath09,
|
| author |
= |
{Horvath, P. and Jermyn, I. H. and Kato, Z. and Zerubia, J.}, |
| title |
= |
{A higher-order active contour model of a ‘gas of circles' and its application to tree crown extraction}, |
| year |
= |
{2009}, |
| month |
= |
{May}, |
| journal |
= |
{Pattern Recognition}, |
| volume |
= |
{42}, |
| number |
= |
{5}, |
| pages |
= |
{699-709}, |
| url |
= |
{http://dx.doi.org/10.1016/j.patcog.2008.09.008}, |
| pdf |
= |
{http://www-sop.inria.fr/members/Ian.Jermyn/publications/Horvathetal09.pdf}, |
| keyword |
= |
{Shape, Higher-order, Active contour, Gas of circles, Tree Crown Extraction, Bayesian} |
| } |
Abstract :
We present a model of a ‘gas of circles’: regions in the image domain composed of a unknown
number of circles of approximately the same radius. The model has applications
to medical, biological, nanotechnological, and remote sensing imaging. The model is constructed
using higher-order active contours (HOACs) in order to include non-trivial prior
knowledge about region shape without constraining topology. The main theoretical contribution
is an analysis of the local minima of the HOAC energy that allows us to guarantee
stable circles, fix one of the model parameters, and constrain the rest. We apply the model
to tree crown extraction from aerial images of plantations. Numerical experiments both
confirm the theoretical analysis and show the empirical importance of the prior shape information. |
The 'Gas of circles' model and its application to tree crown extraction.
P. Horvath. PhD Thesis, Universite de Szeged, Universite de Nice Sophia Antipolis, December 2007.
Keywords : geometric prior, Contours actifs d'ordre supérieur, Phase Field, Gas of circles.
@PHDTHESIS{horvath_these,
|
| author |
= |
{Horvath, P.}, |
| title |
= |
{The 'Gas of circles' model and its application to tree crown extraction}, |
| year |
= |
{2007}, |
| month |
= |
{December}, |
| school |
= |
{Universite de Szeged, Universite de Nice Sophia Antipolis}, |
| pdf |
= |
{ftp://ftp-sop.inria.fr/ariana/Articles/2007_horvath_these.pdf}, |
| keyword |
= |
{geometric prior, Contours actifs d'ordre supérieur, Phase Field, Gas of circles} |
| } |
A `Gas of Circles' Phase Field Model and its Application to Tree Crown Extraction.
P. Horvath and I. H. Jermyn. In Proc. European Signal Processing Conference (EUSIPCO), Poznan, Poland, September 2007.
Keywords : Phase Field, Tree Crown Extraction.
@INPROCEEDINGS{Horvath07d,
|
| author |
= |
{Horvath, P. and Jermyn, I. H.}, |
| title |
= |
{A `Gas of Circles' Phase Field Model and its Application to Tree Crown Extraction}, |
| year |
= |
{2007}, |
| month |
= |
{September}, |
| booktitle |
= |
{Proc. European Signal Processing Conference (EUSIPCO)}, |
| address |
= |
{Poznan, Poland}, |
| pdf |
= |
{ftp://ftp-sop.inria.fr/ariana/Articles/2007_Horvath07d.pdf}, |
| keyword |
= |
{Phase Field, Tree Crown Extraction} |
| } |
Abstract :
The problem of extracting the region in the image domain
corresponding to an a priori unknown number of circular objects
occurs in several domains. We propose a new model of a `gas of
circles', the ensemble of regions in the image domain composed of
circles of a given radius. The model uses the phase field
reformulation of higher-order active contours (HOACs). Phase fields
possess several advantages over contour and level set approaches to
region modelling, in particular for HOAC models. The reformulation
allows us to benefit from these advantages without losing the
strengths of the HOAC framework. Combined with a suitable likelihood
energy, and applied to the tree crown extraction problem, the new
model shows markedly improved performance, both in quality of
results and in computation time, which is two orders of magnitude
less than the HOAC level set implementation.
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All publications in Ariana Research Group
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