Principal Warps: Thin-Plate Splines and the Decomposition of Deformations

@article{Bookstein1989PrincipalWT,
  title={Principal Warps: Thin-Plate Splines and the Decomposition of Deformations},
  author={Fred L. Bookstein},
  journal={IEEE Trans. Pattern Anal. Mach. Intell.},
  year={1989},
  volume={11},
  pages={567-585}
}
One conventional tool for interpolating surfaces over scattered data, the thin-plate spline, has an elegant algebra expressing the dependence of the physical bending energy of a thin metal plate on point constraints. For interpolation of a surface over a fixed set of nodes in the plane, the bending energy is a quadratic form in the heights assigned to the surface. The spline is the superposition of eigenvectors of the bending energy matrix, of successively larger physical scales, over a tilted… CONTINUE READING
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