Reconstruction of B-spline Surfaces from Scattered Data Points

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.

• Type: Conference
• Year: 2000
• Where: CGI
• Authors: Benjamin F. Gregorski, Bernd Hamann, Kenneth I. Joy
• Keywords: CGI 2000, Computer Graphics, Point Set, Quadratic Surfaces, Squares Quadratic Surfaces