Generalized thin-plate spline warps

International Journal of Computer Vision

Volumn 88, Issue 1, 2010, Pages 85-110

  Bartoli, Adrien ^a   Perriollat, Mathieu ^b   Chambon, Sylvie ^c  

^a UNIVERSITÉ CLERMONT AUVERGNE   (France)

^b VI Technology   (France)

^c UNIVERSITÉ GUSTAVE EIFFEL   (France)

Author keywords

Deformable surface; Fundamental matrix; Image warp; Perspective projection; Rigidity; Thin plate spline

Indexed keywords

DEFORMABLE SURFACES; FUNDAMENTAL MATRIX; IMAGE WARP; PERSPECTIVE PROJECTIONS; THIN PLATE SPLINE;

CAMERAS; DEFORMATION; FLOW FIELDS; PAPER SHEETING; PORE PRESSURE; RIGIDITY; SPLINES;

WEAVING;

EID: 77951298196     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-009-0303-4     Document Type: Article

References (29)

1. A. Bartoli 2008 Maximizing the predictivity of smooth deformable image warps through cross-validation Journal of Mathematical Imaging and Vision 31 2-3 133 145 10.1007/s10851-007-0062-1 2407513
2. A. Bartoli 2009 On computing the prediction sum of squares statistic in linear least squares problems with multiple parameter or measurement sets International Journal of Computer Vision 85 2 133 142 10.1007/s11263-009-0253-x 2407513
3. Bartoli, A., & Zisserman, A. (2004). Direct estimation of non-rigid registrations. In British machine vision conference.
4. Blanz, V., & Vetter, T. (2003). Face recognition based on fitting a 3D morphable model. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(9).
5. F. L. Bookstein 1989 Principal warps: Thin-plate splines and the decomposition of deformations IEEE Transactions on Pattern Analysis and Machine Intelligence 11 6 567 585 0691.65002 10.1109/34.24792
6. Bregler, C., Hertzmann, A., & Biermann, H. (2000). Recovering non-rigid 3D shape from image streams. In International conference on computer vision and pattern recognition.
7. Brunet, F., Bartoli, A., Malgouyres, R., & Navab, N. (2009). NURBS warps. In British machine vision conference.
8. W. Chojnacki M. J. Brooks A. van den Hengel D. Gawley 2003 Revisiting Hartley's normalised eight-point algorithm IEEE Transactions on Pattern Analysis and Machine Intelligence 25 9 1172 1177 10.1109/TPAMI.2003.1227992
9. H. Chui A. Rangarajan 2003 A new point matching algorithm for non-rigid registration Computer Vision and Image Understanding 89 2 114 141 1053.68123 10.1016/S1077-3142(03)00009-2
10. Cootes, T. F., Marsland, S., Twining, C. J., Smith, K., & Taylor, C. J. (2004). Groupwise diffeomorphic non-rigid registration for automatic model building. In European conference on computer vision.
11. Donato, G., & Belongie, S. (2002). Approximate thin-plate spline mappings. In European conference on computer vision.
12. J. Duchon 1976 Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces RAIRO Analyse Numérique 10 5 12 470565
13. Gay-Bellile, V., Bartoli, A., & Sayd, P. (2009). Direct estimation of non-rigid registrations with image-based self-occlusion reasoning. IEEE Transactions on Pattern Analysis and Machine Intelligence. To appear.
14. Hartley, R. I., & Zisserman, A. (2003). Multiple view geometry in computer vision (2nd ed.). Cambridge: Cambridge University Press.
15. Irani, M., Anandan, P., & Cohen, M. (1999). Direct recovery of planar-parallax from multiple frames. In Proceedings of the international workshop on vision algorithms: theory and practice.
16. S. Y. Lee K. Y. Chwa J. Hahn S. Y. Shin 1996 Image morphing using deformation techniques Journal of Visualization and Computer Animation 7 3 26 10.1002/(SICI)1099-1778(199601)7:1<3::AID-VIS131>3.0.CO;2-U
17. Lim, J., & Yang, M.-H. (2005). A direct method for non-rigid motion with thin-plate spline. In International conference on computer vision and pattern recognition.
18. Q.-T. Luong T. Vieville 1996 Canonic representations for the geometries of multiple projective views Computer Vision and Image Understanding 64 2 193 229 10.1006/cviu.1996.0055 (Pubitemid 126365518)
19. Masson, L., Dhome, M., & Jurie, F. (2005). Tracking 3D objects using flexible models. In British machine vision conference.
20. Moreno, A., Delso, G., Camara, O., & Bloch, I. (2006). Non-linear registration between 3D images including rigid objects: Application to CT and PET lung images with tumors. In Workshop on image registration in deformable environments (DEFORM) at BMVC.
21. Perriollat, M., & Bartoli, A. (2006). A single directrix quasi-minimal model for paper-like surfaces. In Workshop on image registration in deformable environments (DEFORM) at BMVC.
22. J. Pilet V. Lepetit P. Fua 2008 Fast non-rigid surface detection, registration and realistic augmentation International Journal of Computer Vision 76 2 109 122 10.1007/s11263-006-0017-9
23. Prasad, M., Zisserman, A., & Fitzgibbon, A. (2006). Single view reconstruction of curved surfaces. In International conference on computer vision and pattern recognition.
24. M. Salzmann J. Pilet S. Ilic P. Fua 2007 Surface deformation models for nonrigid 3D shape recovery IEEE Transactions on Pattern Analysis and Machine Intelligence 29 8 1 7 10.1109/TPAMI.2007.1080 (Pubitemid 47040446)
25. Schaefer, S., McPhail, T., & Warren, J. (2006). Image deformation using moving least squares. In SIGGRAPH.
26. Sederberg, T. W., & Parry, S. R. (1986). Free-form deformation of solid geometric models. In SIGGRAPH.
27. D. Terzopoulos 1983 Multilevel computational processes for visual surface reconstruction Computer Vision, Graphics and Image Processing 24 52 96 10.1016/0734-189X(83)90020-8
28. Wills, J., & Belongie, S. (2004). A feature-based approach for determining dense long range correspondences. In European conference on computer vision.
29. Yang, A. Y., Rao, S., Wagner, A., & Ma, Y. (2005). Segmentation of a piece-wise planar scene from perspective images. In International conference on computer vision and pattern recognition.