Abstract
This contribution addresses a problem of surface reconstruction from the point clouds which is applied in many scientific and engineering applications. Our aim is to obtain a visualization of data from 3D scanning and document the real objects digitally.
We describe the digital reconstruction problem and the methods of surface reconstruction. We mention several known algorithms for surface reconstruction and focus on new methods of reconstruction based on the sequential evolution.
We explain a general framework for the evolution-based approximation of a given set of points by a curve. Then we apply it to surfaces.
We show the sequential evolution of curves and surfaces on some concrete examples. For the implementation of the algorithms we traditionally use interactive environment MATLAB.