FST-based Reconstruction of 3D-models from Non-Uniformly Sampled Datasets on the Sphere

This paper proposes a new method for reconstruction of star-shaped 3D surfaces from scattered datasets, where such surfaces are considered as signals living in the space of square integrable functions on the unit sphere. We first propose a generalization of the Fourier transform on the sphere. A practical reconstruction method is then presented, which interpolates a spherical signal on an equiangular grid, from non-uniformly sampled dataset representing a 3D point cloud. The experiments show that the proposed interpolation method results in smoother surfaces, and higher reconstruction PSNRs than the nearest neighbor interpolation method.


Published in:
Proceedings of the Picture Coding Symposium
Presented at:
Picture Coding Symposium, Beijing, April, 2006
Year:
2006
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 Record created 2006-06-14, last modified 2018-03-17

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