This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasi-interpolants to compute the control points from a coarse to fine hierarchy to generate a sequence of bicubic B-spline functions whose sum approaches to the desired interpolation function. Quasi-interpolants gives a procedure for deriving local spline approximation methods where a B-spline coefficient only depends on data points taken from the neighborhood of the support corresponding B-spline. Experimental results demonstrate that high-fidelity reconstruction is possible from a selected set of irregular samples. © Springer-Verlag Berlin Heidelberg 2005.
CITATION STYLE
Lee, B. G., Lee, J. J., & Kwon, K. R. (2005). Quasi-interpolants based multilevel B-spline surface reconstruction from scattered data. In Lecture Notes in Computer Science (Vol. 3482, pp. 1209–1218). Springer Verlag. https://doi.org/10.1007/11424857_129
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