Large deformation diffeomorphisms with application to optic flow

Computer Vision and Image Understanding

Volumn 106, Issue 1, 2007, Pages 97-105

  Markussen, Bo ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Image warping; Landmark matching; Maximum a posteriori estimation; Non rigid registration; Optic flow; Renormalized Brownian density; Stochastic differential equations

Indexed keywords

DIFFERENTIAL EQUATIONS; MAXIMUM LIKELIHOOD; RANDOM PROCESSES; TURBULENT FLOW;

BROWNIAN DENSITY; IMAGE SEQUENCES; IMAGE WARPING; LANDMARK MATCHING; RENORMALIZED BROWNIAN DENSITY; TURBULENT SMOKE;

OPTICAL FLOWS;

EID: 34047126428     PISSN: 10773142     EISSN: 1090235X     Source Type: Journal    
DOI: 10.1016/j.cviu.2005.09.006     Document Type: Article

References (14)

1. Nielsen M., and Markussen B. From Bayes to PDEs in image warping. In: Paragios N., Chen Y., and Faugeras O. (Eds). The Handbook of Mathematical Models in Computer Vision (2005), Springer Verlag 259-272
2. Miller M., and Younes L. Group actions, homeomorphisms and matching: a general framework. Int. J. Compu. Vis. 41 (2002) 61-84
3. Camion V., and Younes L. Geodesic interpolating splines. Third International Worhskop on Energy Minimization Methods in Computer Vision and Pattern Recognition 2001. LNCS vol. 2134 (2001), Springer 513-527
4. Twining C., and Marsland S. Constructing diffeomorphic representations of non-rigid registration of medical images. IPMI 2003. LNCS vol. 2732 (2003), Springer 413-425
5. Joshi S., and Miller M. Landmark matching via large deformation diffeomorphisms. IEEE Trans. Image Proc. 9 (2000) 1357-1370
6. Nielsen M., Johansen P., Jackson A., and Lautrup B. Brownian warps: a least committed prior for non-rigid registration. MICCAI 2002. LNCS vol. 2489 (2002), Springer 557-564
7. Christensen G. Deformable Shape Models for Anatomy, D.sc. Dissertation, Electrical Engineering (1994), Washington University, St. Louis, Missouri
8. Jackson A., Lautrup B., Johansen P., and Nielsen M. Products of random matrices. Phys. Rev. E 66 (2002) article 66124
9. Kunita H. Stochastic Flows and Stochastic Differential Equations (1990), Cambridge University Press
10. Øksendal B. Stochastic Differential Equations (1995), Springer Verlag
11. B. Markussen, Brownian inference using pathwise white noise, manuscript, Department of Computer Science, University of Copenhagen (2005).
12. B. Markussen, A statistical approach to large deformation diffeomorphisms, in: GMBV workshop, IEEE Press (electronic publication), 2004.
13. Pedersen K., and Nielsen M. Computing optic flow by scale-space integration of normal flow. In: Kerckhove M. (Ed). Scale-Space and Morphology in Computer Vision. LNCS vol. 2106 (2001), Springer 14-25
14. Olsen O.F., and Nielsen M. The generic structure of the optic flow field. J. Math. Imaging and Vis. 24 (2006) 37-53