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Inference on point processes with unobserved one-dimensional reference structure
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Su, J. (Jionglong), Hill, Bryony, Kendall, Wilfrid S. and Thönnes, Elke (2008) Inference on point processes with unobserved one-dimensional reference structure. Working Paper. University of Warwick. Centre for Research in Statistical Methodology, Coventry.
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Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...
Abstract
We present a novel approach to examining local anisotropy in planar point processes. Our method is based on a kernel Principal Component Analysis and produces a tensor field that describes local orientation. The approach is illustrated on an example examining pore patterns in ink fingerprints.
| Item Type: | Working or Discussion Paper (Working Paper) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Statistics |
| Library of Congress Subject Headings (LCSH): | Point processes, Fingerprints -- Mathematical models |
| Series Name: | Working papers |
| Publisher: | University of Warwick. Centre for Research in Statistical Methodology |
| Place of Publication: | Coventry |
| Date: | 2008 |
| Volume: | Vol.2008 |
| Number: | No.10 |
| Number of Pages: | 11 |
| Status: | Not Peer Reviewed |
| Access rights to Published version: | Open Access |
| References: | [1] V. Arsigny, P.Fillard, X. Pennec, and N. Ayache. Log-Euclidean metrics for fast and simple calculus on diffusion tensors. Magnetic Resonance in Medicine, 56:411–421, 2006. [2] David R. Ashbaugh. Quantitative-Qualitative friction ridge analysis - an introduction to basic and advanced ridgeology. CRC Press, Boca Raton, 1999. [3] J-M. Azaıs and M. Wschebor. On the distribution of the maximum of a Gaussian field with d parameters. The Annals of Applied Probability, 15:254–278, 2005. [4] P.G. Batchelor, M. Moakher, D. Atkinson, F. Calamante, and A. Connelly. A rigorous framework for diffusion tensor calculus. Magnetic Resonance in Medicine, 53:221–225, 2005. [5] Thierry Delmarcelle and Lambertus Hesselink. The topology of symmetric, second-order tensor fields. In IEEE Visualization, pages 140–147, 1994. [6] A.K. Jain, Y. Chen, and M. Demirkus. Pores and Ridges: High Resolution Fingerprint Using Level 3 Features. IEEE Transactions on Pattern Analysis and Machine Intelligence, 29:15–27, 2007. [7] R. Mathias and K. Veseli´c. A relative perturbation bound for positive definite matrices. Linear Algebra and its applications, 270:315–321, 1998. [8] N.R. Parsons, J.Q. Smith, E. Th¨onnes, L.Wang, and Roland Wilson. Rotationally invariant statistics for examining the evidence from the pores in fingerprints. Law, Probability and Risk, 7:1–14, 2008. [9] A.K. Penttinen and D. Stoyan. Statistical analysis for a class of line segment processes. Forest Science, 38:806–824, 1989. [10] William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery. Numerical Recipes with Source Code CD-ROM 3rd Edition: The Art of Scientific Computing. Cambridge University Press, Cambridge, 2007. [11] S.O. Rice. Mathematical analysis of random noise. Bell Systems Technical Journal, 23:292–332, 1944. [12] S.O. Rice. Mathematical analysis of random noise. Bell Systems Technical Journal, 24:46–156, 1945. [13] B. Sch¨olkopf, A.J. Smola, and K.R. M¨uller. Kernel principal component analysis. In 7th International Conference on Artificial Neural Networks, ICANN 97, volume 1327 of Springer Lecture Notes in Computer Science, pages 583–588, Berlin, 1997. [14] D. Stoyan. Describing the anisotropy of marked planar point processes. Statistics, 22:449–462, 1991. [15] D. Stoyan and V. Benes. Anisotropy analysis for article systems. Journal of Microscopy, 164:159–168, 1991. [16] D. Stoyan, W.S. Kendall, and J. Mecke. Stochastic Geometry and its applications. Wiley, Chichester, second edition, 1998. [17] K. Veseli´c and I. Slapniˇcar. Floating-point perturbations of Hermitian matrices. Linear Algebra and its applications, 195:81–116, 1993. [18] C. Watson. NIST Special Database 30: Dual Resolution Images from Paired Fingerprint Cards. National Institute of Standards and Technology, Gaithersburg, MD. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/35486 |
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