1 September 1991 Differential properties from adaptive thin-plate splines
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Abstract
One of the reasons for creating a global energy-minimizing thin-plate fit in the surface- reconstruction-from-scattered-data problem is to find the differential properties of the surface and use these to characterize the surface. The author has also used the thin-plate surface to create a mesh of principal curvature lines on the surface to find a viewpoint invariant representation for the data. This paper examines what effect the changing of parameters in the surface fitting stage has on the differential properties of the surface, and thereby on the canonical surface representation based on the lines of principal curvature.
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Saravajit Sahay Sinha, "Differential properties from adaptive thin-plate splines", Proc. SPIE 1570, Geometric Methods in Computer Vision, (1 September 1991); doi: 10.1117/12.49975; https://doi.org/10.1117/12.49975
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