Efficient volume rendering on the body centered cubic lattice using box splines

Finkbeiner, Bernhard; Entezari, Alireza; Van De Ville, Dimitri; Möller, Torsten

doi:10.1016/j.cag.2010.02.002

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Title		Efficient volume rendering on the body centered cubic lattice using box splines
Authors		Finkbeiner, Bernhard Entezari, Alireza Van De Ville, Dimitri Möller, Torsten
Published in		Computers & Graphics. 2010, vol. 34, no. 4, p. 409-423
Abstract		We demonstrate that non-separable box splines deployed on body centered cubic lattices (BCC) are suitable for fast evaluation on present graphics hardware. Therefore, we develop the linear and quintic box splines using a piecewise polynomial (pp)-form as opposed to their currently known basis (B)-form. The pp-form lends itself to efficient evaluation methods such as de Boor's algorithm for splines in box splines basis. Further on, we offer a comparison of quintic box splines with the only other interactive rendering available on BCC lattices that is based on separable kernels for interleaved Cartesian cubic (CC) lattices. While quintic box splines result in superior quality, interleaved CC lattices are still faster, since they can take advantage of the highly optimized circuitry for CC lattices, as it is the case in graphics hardware nowadays. This result is valid with and without prefiltering. Experimental results are shown for both a synthetic phantom and data from optical projection tomography. We provide shader code to ease the adaptation of box splines for the practitioner.
Keywords		Reconstruction — Volume rendering — Box splines — Body centeredcubiclattice
Identifiers		DOI: 10.1016/j.cag.2010.02.002
Full text		Article (Published version) (1.3 MB) - Limited access to UNIGE
Structures		Faculté de médecine / Section de médecine clinique / Département de radiologie et informatique médicale
Research group		Traitement d'images médicales (893)
Citation (ISO format)		FINKBEINER, Bernhard et al. Efficient volume rendering on the body centered cubic lattice using box splines. In: Computers & Graphics, 2010, vol. 34, n° 4, p. 409-423. doi: 10.1016/j.cag.2010.02.002 https://archive-ouverte.unige.ch/unige:25609