Fast and accurate rotation estimation on the 2-sphere without correspondences

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5303 LNCS, Issue PART 2, 2008, Pages 239-251

  Fehr, Janis ^a   Reisert, Marco ^a   Burkhardt, Hans ^a  

^a UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER VISION; ITERATIVE METHODS; MACHINE DESIGN; SIGNAL ANALYSIS;

3D RIGID REGISTRATION; INVARIANT FEATURES; OMNIDIRECTIONAL CAMERAS; PRACTICAL PROBLEMS; PRIORI INFORMATION; ROTATION ESTIMATIONS; ROTATION PARAMETERS; SPHERICAL HARMONIC EXPANSIONS;

ROTATION;

EID: 57149126064     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-88688-4_18     Document Type: Conference Paper

References (18)

1. Shilane, P., Min, P., Kazhdan, M., Funkhouser, T.: The princeton shape benchmark. In: Shape Modeling International, Genova, Italy (2004)
2. Kazhdan, M., Funkhouser, T., Rusinkiewicz, S.: Rotation invariant spherical harmonic representation of 3d shape descriptors. In: Symposium on Geometry Processing (2003)
3. Saupe, D., Vranic, D. V.: 3d model retrieval with spherical harmonics and moments. In: Radig, B., Florczyk, S. (eds.) DAGM 2001. LNCS, vol. 2191, pp. 392-397. Springer, Heidelberg (2001)
4. Vranic, D.V.: An improvement of rotation invariant 3d shape descriptor based on functions on concentric spheres. In: IEEE International Conference on Image Processing (ICIP 2003), vol. 3, pp. 757-760 (2003)
5. Ronneberger, O., Fehr, J.: Voxel-wise gray scale invariants for simultaneous segmentation and classification. In: Kropatsch, W.G., Sablatnig, R., Hanbury, A. (eds.) DAGM 2005. LNCS, vol. 3663, pp. 85-92. Springer, Heidelberg (2005)
6. Makadia, A., Daniilidis, K.: Rotation recovery from spherical images without correspondencesameesh. IEEE Transactions on Pattern Analysis and Machine Intelligence 28 (2006)
7. Makadia, A., Sorgi, L., Daniilidis, K.: Rotation estimation from spherical images. In: International Conference on Pattern Recognition, Cambridge (2004)
8. Makadia, A., Daniilidis, K.: Direct 3d-rotation estimation from spherical images via a generalized shift theorem. In: IEEE Conference on Computer Vision and Pattern Recognition, Madison (2003)
9. Brink, D., Satchler, G.: Angular Momentum, 2nd edn. Clarendon Press, Oxford (1968)
10. Burel, G., Henoco, H.: Determination of the orientation of 3d objects using spherical harmonics. Graph. Models Image Process. 57, 400-408 (1995)
11. Crowther, R.A.: The molecular replacement method. In: Rossmann, M. (ed.) Gordon and Breach, New York, pp. 173-178 (1972)
12. Kovacs, J.A., Wriggers, W.: Fast rotational matching. Acta Crystallogr (58), 1282-1286 (2002)
13. Healy Jr., D., Rockmore, D., Kostelec, P., Moore, S.: Ffts for the 2-sphere - improvements and variations. The Journal of Fourier Analysis and Applications 9, 341-385 (2003)
14. Groemer, H.: Geometric Applications of Fourier Series and Spherical Harmonics. Cambridge University Press, Cambridge (1996)
15. Yaroslavsky, L.: Boundary effect free and adaptive discrete signal sine-interpolation algorithms for signal and image resampling. Appl. Opt. 42, 4166-4175 (2003)
16. Frigo, M., Johnson, S.G.: The design and implementation of FFTW3. Proceedings of the IEEE 93, 216-231 (2005); special issue on Program Generation, Optimization, and Platform Adaptation
17. Trapani, S., Navaza, J.: Calculation of spherical harmonics and wigner d functions by fft. applications to fast rotational matching in molecular replacement and implementation into amore. Acta Crystallogr, 262-269 (2006)
18. Reisert, M., Burkhardt, H.: Irreducible group representation for 3d shape description. In: Franke, K., Müller, K.-R., Nickolay, B., Schäfer, R. (eds.) DAGM 2006. LNCS, vol. 4174, pp. 132-142. Springer, Heidelberg (2006)