research-article

Scattered Data Interpolation with Multilevel B-Splines

Authors:

George Wolberg,

Sung Yong ShinAuthors Info & Claims

IEEE Transactions on Visualization and Computer Graphics, Volume 3, Issue 3

Pages 228 - 244

https://doi.org/10.1109/2945.620490

Published: 01 July 1997 Publication History

Abstract

This paper describes a fast algorithm for scattered data interpolation and approximation. Multilevel B-splines are introduced to compute a $C^2$-continuous surface through a set of irregularly spaced points. The algorithm makes use of a coarse-to-fine hierarchy of control lattices to generate a sequence of bicubic B-spline functions whose sum approaches the desired interpolation function. Large performance gains are realized by using B-spline refinement to reduce the sum of these functions into one equivalent B-spline function. Experimental results demonstrate that high-fidelity reconstruction is possible from a selected set of sparse and irregular samples.

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cover image IEEE Transactions on Visualization and Computer Graphics

IEEE Transactions on Visualization and Computer Graphics Volume 3, Issue 3

July 1997

88 pages

ISSN:1077-2626

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Copyright © Copyright © 1997 IEEE. All Rights Reserved.

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IEEE Educational Activities Department

United States

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Published: 01 July 1997

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