2012 IEEE Conference on Computer Vision and Pattern Recognition 2012
DOI: 10.1109/cvpr.2012.6247722
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Automated reconstruction of tree structures using path classifiers and Mixed Integer Programming

Abstract: Although tracing linear structures in 2D images and 3D image stacks has received much attention over the years, full automation remains elusive. In this paper, we formulate the delineation problem as one of solving a Quadratic Mixed Integer Program (Q-MIP) in a graph of potential paths, which can be done optimally up to a very small tolerance. We further propose a novel approach to weighting these paths, which results in a Q-MIP solution that accurately matches the ground truth.We demonstrate that our approach… Show more

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Cited by 74 publications
(97 citation statements)
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“…In earlier work [41] we showed the advantage of using a path classifier and a mixed integer programming formulation to automatically trace such structures. Within this framework, machine learning is used to predict, based on image evidence, if a tubular path between two points in the image belongs to a curvilinear structure or not.…”
Section: A Datasetsmentioning
confidence: 99%
“…In earlier work [41] we showed the advantage of using a path classifier and a mixed integer programming formulation to automatically trace such structures. Within this framework, machine learning is used to predict, based on image evidence, if a tubular path between two points in the image belongs to a curvilinear structure or not.…”
Section: A Datasetsmentioning
confidence: 99%
“…However, a particularly important property of the road network is its connectedness. Several excellent contributions exist which aim at extraction of (curvy)linear structures by fitting low-cost paths between the seeds, which are pixels with locally minimum values of the cost function, such as tubular measure (Türetken et al, 2012). For combined evaluation of image and elevation data, proposed a pioneering approach for extraction of road superpixels.…”
Section: Previous Workmentioning
confidence: 99%
“…In [25], the authors proposed an approach to classifying tubular paths, such as the one depicted in Fig. 5(top), as truly corresponding to linear structures or not.…”
Section: Path Classificationmentioning
confidence: 99%
“…We constructed our training and validation set by computing the gradient histogram features described in [25] for 5000 positive and 5000 negative randomly selected samples from two different volumes 3 . Similarly, a 30'000 path test set was generated.…”
Section: Path Classificationmentioning
confidence: 99%