Robust and Efficient Surface Reconstruction from Contours
Visual Computers, May 2001.
In this paper, we propose a new approach for surface recovery from planar
sectional contours. The surface is reconstructed based on the
so-called ``Equal Importance Criterion'', which suggests that
every point in the region contributes equally to the reconstruction process.
The problem is then formulated in terms of a partial differential equation,
and the solution is efficiently calculated from distance transform. To
make the algorithm valid for different application purposes, both the isosurface
and the primitive representations of the object surface are derived.
The isosurface is constructed by interpolating between sectional distance
transformations. The primitive are approximated by Voronoi Diagram
transformation of the surface space. Isosurfaces have the advantage
that subsequent geometric analysis of the object can be easily carried
out while primitives representation is easy to be visualized. The proposed
technique allows for surface recovery at any desired resolution, thus,
inherent problems due to correspondence, tiling, and branching are avoided.
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