000130334 001__ 130334
000130334 005__ 20190213064552.0
000130334 0247_ $$2doi$$a10.1109/TIP.2007.891808
000130334 02470 $$2DAR$$a10649
000130334 02470 $$2ISI$$a000245838400002
000130334 037__ $$aARTICLE
000130334 245__ $$aQuasi-Interpolating Spline Models for Hexagonally-Sampled Data
000130334 269__ $$a2007
000130334 260__ $$bIEEE$$c2007
000130334 336__ $$aJournal Articles
000130334 520__ $$9eng$$a The reconstruction of a continuous-domain representation from sampled data is an essential element of many image processing tasks, in particular, image resampling. Until today, most image data have been available on Cartesian lattices, despite the many theoretical advantages of hexagonal sampling. In this paper, we propose new reconstruction methods for hexagonally sampled data that use the intrinsically 2-D nature of the lattice, and that at the same time remain practical and efficient. To that aim, we deploy box-spline and hex-spline models, which are notably well adapted to hexagonal lattices. We also rely on the quasi-interpolation paradigm to design compelling prefilters; that is, the optimal filter for a prescribed design is found using recent results from approximation theory. The feasibility and efficiency of the proposed methods are illustrated and compared for a hexagonal to Cartesian grid conversion problem.
000130334 6531_ $$aHexagonal Quasi-Sampling
000130334 700__ $$aCondat, L.
000130334 700__ $$0240173$$aVan De Ville, D.$$g152027
000130334 773__ $$j16$$k5$$q1195–1206$$tIEEE Transactions on Image Processing
000130334 8564_ $$uhttp://bigwww.epfl.ch/publications/condat0701.html$$zURL
000130334 8564_ $$uhttp://bigwww.epfl.ch/publications/condat0701.ps$$zURL
000130334 8564_ $$s4774621$$uhttps://infoscience.epfl.ch/record/130334/files/condat0701.pdf$$zn/a
000130334 909C0 $$0252054$$pLIB$$xU10347
000130334 909CO $$ooai:infoscience.tind.io:130334$$pSTI$$pGLOBAL_SET$$particle
000130334 937__ $$aLIB-ARTICLE-2007-009
000130334 970__ $$acondat0701/LIB
000130334 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000130334 980__ $$aARTICLE