An orientation on surface reconstruction


Kloosterman, G. and Damme, R.M.J. van (1998) An orientation on surface reconstruction. [Report]

open access
Abstract:When reconstructing a surface from irregularly spaced data, sampled from a closed surface in 3D, we need to decide how to identify a good triangulation. As a measure of quality we consider various differential geometrical properties, such as integral Gaussian curvature, integral mean curvature and area. We furthermore study a non-functional approach, which is based on a mapping procedure. A locally optimal triangulation is then identified as a fixed point under the map. The optimization methods all require an initial triangulation as a starting point. To find an initial triangulation, we look at growing and shrinking approaches.
Item Type:Report
Additional information:Imported from MEMORANDA
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 141103