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ICCV
2005
IEEE

3D Shape Recognition and Reconstruction Based on Line Element Geometry

9 years 9 months ago
3D Shape Recognition and Reconstruction Based on Line Element Geometry
This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of oriented planes, enables us to recognize a wide class of surfaces (spiral surfaces, cones, helical surfaces, rotational surfaces, cylinders, etc.) by fitting linear subspaces in an appropriate seven-dimensional image space. In combination with standard techniques such as PCA and RANSAC, line element geometry is employed to effectively perform the segmentation of complex objects according to surface type. Examples show applications in reverse engineering of CAD models and testing mathematical hypotheses concerning the exponential growth of sea shells.
Michael Hofer, Boris Odehnal, Helmut Pottmann, Tib
Added 15 Oct 2009
Updated 30 Oct 2009
Type Conference
Year 2005
Where ICCV
Authors Michael Hofer, Boris Odehnal, Helmut Pottmann, Tibor Steiner, Johannes Wallner
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