Institute for Data Analysis and Visualization
Reconstuction of Surfaces from Scattered Data Points
- Author(s): Gregorski, Benjamin F.
- Hamann, Bernd
- Joy, Ken
- Editor(s): Chua, Tat-Seng
- Magnenat-Thalmann, Nadia
- et al.
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.