Efficient Surface Reconstruction for Piecewise Smooth Objects

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URI: http://nbn-resolving.de/urn:nbn:de:bsz:21-opus-32001
Dokumentart: WorkingPaper
Date: 2007
Source: WSI ; 2007 ; 5
Language: English
Faculty: 7 Mathematisch-Naturwissenschaftliche Fakultät
Department: Informatik
DDC Classifikation: 500 - Natural sciences and mathematics
Keywords: Oberfläche , Rekonstruktion
Other Keywords: Oberflächen-Rekonstruktion , RANSAC
Surface reconstruction , RANSAC
License: http://tobias-lib.uni-tuebingen.de/doku/lic_mit_pod.php?la=de http://tobias-lib.uni-tuebingen.de/doku/lic_mit_pod.php?la=en
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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.

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