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Polatory is a fast and memory-efficient framework for radial basis function (RBF) interpolation.

• Interpolation of 1D, 2D, and 3D scattered data
• Surface reconstruction from 2.5D and 3D point clouds
• Fast kriging prediction (dual kriging)
• Full control of absolute fitting tolerance and evaluation accuracy
• Fast and high-quality isosurface generation
  • Gradient search and surface tracking
  • Vertex position refinement
  • Vertex clustering
• Handling of 1M+ input points
• Inequality constraints
• Gradient constraints (Hermite–Birkhoff interpolation)

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1. J. C. Carr, R. K. Beatson, J. B. Cherrie, T. J. Mitchell, W. R. Fright, B. C. McCallum, and T. R. Evans. Reconstruction and representation of 3D objects with radial basis functions. InComputer Graphics SIGGRAPH 2001 proceedings, ACM Press/ACM SIGGRAPH, pages 67–76, 12-17 August 2001.https://doi.org/10.1145/383259.383266

2. R. K. Beatson, W. A. Light, and S. Billings. Fast solution of the radial basis function interpolation equations: Domain decomposition methods.SIAM J. Sci. Comput., 22(5):1717–1740, 2000.http://doi.org/10.1137/S1064827599361771

3. G. M. Treece, R. W. Prager, and A. H. Gee. Regularised marching tetrahedra: improved iso-surface extraction.Computers and Graphics, 23(4):583–598, 1999.https://doi.org/10.1016/S0097-8493(99)00076-X