Title
An improved ‘gas of circles' higher-order active contour model and its application to tree crown extraction
Abstract
A central task in image processing is to find the region in the image corresponding to an entity. In a number of problems, the region takes the form of a collection of circles, e.g. tree crowns in remote sensing imagery; cells in biological and medical imagery. In [1], a model of such regions, the ‘gas of circles' model, was developed based on higher-order active contours, a recently developed framework for the inclusion of prior knowledge in active contour energies. However, the model suffers from a defect. In [1], the model parameters were adjusted so that the circles were local energy minima. Gradient descent can become stuck in these minima, producing phantom circles even with no supporting data. We solve this problem by calculating, via a Taylor expansion of the energy, parameter values that make circles into energy inflection points rather than minima. As a bonus, the constraint halves the number of model parameters, and severely constrains one of the two that remain, a major advantage for an energy-based model. We use the model for tree crown extraction from aerial images. Experiments show that despite the lack of parametric freedom, the new model performs better than the old, and much better than a classical active contour.
Year
DOI
Venue
2006
10.1007/11949619_14
ICVGIP
Keywords
Field
DocType
local energy minimum,image processing,higher-order active contour,new model,higher-order active contour model,model parameter,classical active contour,aerial image,energy-based model,energy inflection point,active contour energy,tree crown extraction,taylor expansion,higher order,active contour model,active contour,gradient descent
Active contour model,Computer vision,Inflection point,Gradient descent,Pattern recognition,Computer science,Image processing,Maxima and minima,Image segmentation,Parametric statistics,Artificial intelligence,Tree structure
Conference
Volume
ISSN
ISBN
4338
0302-9743
3-540-68301-1
Citations 
PageRank 
References 
2
0.40
8
Authors
4
Name
Order
Citations
PageRank
Péter Horváth111813.00
Ian Jermyn289479.47
Zoltan Kato326528.28
Josiane Zerubia42032232.91