Abstract:
In this report we present a new surface reconstruction technique from
unstructured point clouds for piecewise smooth objects, such as scans of
architectural and other man-made artifacts. The new technique operates
in three conceptual steps: First, a set of basis functions is computed
and a topology is established among these functions that respect sharp
features using a RANSAC technique. Second, a linearized, statistically
motivated optimization problem is solved employing this discretization.
Lastly, an implicit function based meshing technique is employed to determine
a clean, manifold mesh representation. The main benefit of our
new proposal in comparison to previous work is its robustness and efficiency,
which we examine by applying the algorithm to a set of synthetic
and real-world benchmark data sets.