Acknowledgement
Supported by : National Research Foundation of Korea (NRF)
References
- M. Kim and Y. joon Lee, "GPU raycasting of BCC volume datasets," Proceedings of KCGS Conference, pp. 75-76, 2012.
- D. P. Petersen and D. Middleton, "Sampling and reconstruction of wave-number-limited functions in N-dimensional euclidean spaces," Information and Control, vol. 5, no. 4, pp. 279-323, 1962. https://doi.org/10.1016/S0019-9958(62)90633-2
- J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, 3rd ed. New York, NY, USA: Springer-Verlag New York, Inc., 1998.
- S. Matej and R. Lewitt, "Efficient 3D grids for image reconstruction using spherically-symmetric volume elements," Nuclear Science, IEEE Transactions on, vol. 42, no. 4, pp. 1361- 1370, Aug. 1995.
- T. Theub l, T. Moller, and M. E. Groller, "Optimal regular volume sampling," Proceedings of the conference on Visualization '01, pp. 91-98, 2001.
- A. Entezari, R. Dyer, and T. Moller, "Linear and cubic box splines for the body centered cubic lattice," Proceedings of the IEEE Conference on Visualization, pp. 11-18, 2004.
- A. Entezari, D. Van De Ville, and T. Moller, "Practical box splines for reconstruction on the body centered cubic lattice," IEEE Transactions on Visualization and Computer Graphics, vol. 14, no. 2, pp. 313-328, Mar. 2008. https://doi.org/10.1109/TVCG.2007.70429
- B. Finkbeiner, A. Entezari, D. Van De Ville, and T. Moller, "Efficient volume rendering on the body centered cubic lattice using box splines," Computers& Graphics, vol. 34, no. 4, pp. 409-423, Aug. 2010. https://doi.org/10.1016/j.cag.2010.02.002
- C. Sigg and M. Hadwiger, "Fast third-order texture filtering," GPU Gems 2, pp. 313-329, 2005.
- B. Csebfalvi and M. Hadwiger, "Prefiltered B-spline reconstruction for hardware-accelerated rendering of optimally sampled volumetric data," Workshop Vision, Modeling, and Visualization, pp. 325-332, 2006.
- M. Kim, "Quartic box-spline reconstruction on the BCC lattice," IEEE Transactions on Visualization and Computer Graphics, Feb. 2013, (in print).
- C. de Boor, K. Hollig, and S. Riemenschneider, Box splines. Springer-Verlag New York, Inc., 1993.
- D. E. Dudgeon and R.M.Mersereau, Multidimensional Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, Inc., 1984.
- M. Kim and J. Peters, "Symmetric box-splines on root lattices," Journal of Computational and Applied Mathematics, vol. 235, no. 14, pp. 3972-3989, May 2011. https://doi.org/10.1016/j.cam.2010.11.027
- S. Roettger, "Volume library (online)," Jan. 2012. [Online]. Available: http://www9.informatik.unierlangen. de/External/vollib
- S. R. Marschner and R. J. Lobb, "An evaluation of reconstruction filters for volume rendering," Proceedings of the IEEE Conference on Visualization, pp. 100-107, Oct. 1994.
- M. Kim, "GPU isosurface raycasting of FCC datasets," Graphical Models, 2012, (to appear).