Efficient Computation of Isosurface Curvatures on GPUs Based on the de Boor Algorithm

Volume reconstruction based on the six-direction cubic box-spline

“…We note that the options for C 1 continuity are M c30 (9), M c11 (7), with the stencil sizes listed in parentheses. For C 2 continuity the options 32), M b110 (30), M b040 (128). Due to their small support and the degree listed in square brackets, M c300 [6], M c010 [3], M f 100 [3] (see Fig.…”

“…box spline algorithm code M c400 [56,32] [56] M c010 [34] [34] M c101 [33] [33] M f100 [40,29] [29] M b200 [4,24] [24] M b110 [30,36,31] [35] M b040 [10] an approximation, say a triangulation of a bivariate box spline graph. An alternative approximate evaluation is based on Fast Fourier transform [45].…”