Quasi-interpolants Based Multilevel B-Spline Surface Reconstruction from Scattered Data

Abstract. This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasiinterpolants 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 Bspline 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.

• Type: Conference
• Year: 2005
• Where: ICCSA
• Authors: Byung-Gook Lee, Joon-Jae Lee, Ki-Ryoung Kwon
• Keywords: Applied Computing, Bicubic B-spline Functions, ICCSA 2005, Local Spline Approximation, Support Corresponding B-spline