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To boldly split : partitioning space filling curves by Markov Chain Monte Carlo simulation
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Valdes-Amaro, Daniel and Bhalerao, Abhir (2008) To boldly split : partitioning space filling curves by Markov Chain Monte Carlo simulation. In: 7th Mexican International Conference on Artificial Intelligence (MICAI 2008), Atizapan de Zaragoza, Mexico, Oct 27-31, 2008. Published in: Lecture Notes in Computer Science, Vol.5317 pp. 543-553.
Full text not available from this repository.Abstract
Space filling curves are a class of fractals that are important mathematical descriptions of the appearance and shape of natural objects. There is growing interest in the modelling of such curves to measure pathology in medicine and biology. This work presents a method of modelling fractal curves, such as the boundary of brain white matter, and partitioning such curves in to segments having equal fractal dimension. Since the solution space, for a given number of contour points and a required set of partitions is very large, we employ a Bayesian framework of reversible-jump Markov chain Monte Carlo (MCMC) and a sampler based on the Metropolis-Hastings test. We detail the algorithm and present results on both simple contours (animal silhouettes) and space-filling brain contours and show the convergence characteristics of the method. We discuss its use for building compact local statistical shape models.
| Item Type: | Conference Item (Paper) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Computer Science |
| Library of Congress Subject Headings (LCSH): | Fractals, Markov processes, Monte Carlo method, Curves on surfaces, Artificial intelligence |
| Journal or Publication Title: | Lecture Notes in Computer Science |
| Publisher: | Springer |
| ISBN: | 978-3-540-88636-5 |
| Date: | 2008 |
| Volume: | Vol.5317 |
| Number of Pages: | 11 |
| Page Range: | pp. 543-553 |
| Identification Number: | 10.1007/978-3-540-88636-552 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Description: | Subtitle: MICAI 2008: Advances in Artificial Intelligence |
| Conference Paper Type: | Paper |
| Title of Event: | 7th Mexican International Conference on Artificial Intelligence (MICAI 2008) |
| Type of Event: | Conference |
| Location of Event: | Atizapan de Zaragoza, Mexico |
| Date(s) of Event: | Oct 27-31, 2008 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/28808 |
Data sourced from Thomson Reuters' Web of Knowledge
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