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Journal Article

Error-Guided Adaptive Fourier-based Surface Reconstruction


Schall,  Oliver
Computer Graphics, MPI for Informatics, Max Planck Society;

Belyaev,  Alexander
Computer Graphics, MPI for Informatics, Max Planck Society;

Seidel,  Hans-Peter
Computer Graphics, MPI for Informatics, Max Planck Society;

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Schall, O., Belyaev, A., & Seidel, H.-P. (2007). Error-Guided Adaptive Fourier-based Surface Reconstruction. Computer-Aided Design, 39(5), 421-426. doi:10.1016/j.cad.2007.02.005.

Cite as:
In this paper, we propose to combine Kazhdan's FFT-based approach to surface reconstruction from oriented points with adaptive subdivision and partition of unity blending techniques. This removes the main drawback of the FFT-based approach which is a high memory consumption for geometrically complex datasets. This allows us to achieve a higher reconstruction accuracy compared with the original global approach. Furthermore, our reconstruction process is guided by a global error control accomplished by computing the Hausdorff distance of selected input samples to intermediate reconstructions. The advantages of our surface reconstruction method include also a more robust surface restoration in regions where the surface folds back to itself.