Reconstruction of B-Spline Surfaces from Scattered Data Points

Authors:
Benjamin Gregorski;Bernd Hamann at Kenneth I. Joy
Affiliations:
-;-
Venue:
CGI '00 Proceedings of the International Conference on Computer Graphics
Year:
2000

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Abstract

We present a new approach for reconstructing a smooth surface from a set of scattered points in three-dimensional (3D) space. Our algorithm first decomposes a given point set into a quadtree-like data structure known as a strip tree. The strip tree is used to fit a set of least squares quadratic surfaces to the data points. These quadratic surfaces are then degree-elevated to bi-cubic surfaces and blended together to form a set of B-spline surfaces that approximates the given point set.