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# scipy.interpolate.Rbf

class `scipy.interpolate.``Rbf`(*args)

  A class for radial basis function approximation/interpolation of n-dimensional scattered data.

  > Parameters: | *args : arrays x, y, z, ..., d, where x, y, z, ... are the coordinates of the nodes and d is the array of values at the nodes function : str or callable, optional The radial basis function, based on the radius, r, given by the norm (default is Euclidean distance); the default is ‘multiquadric’:
  >     'multiquadric': sqrt((r/self.epsilon)**2 + 1)
  >     'inverse': 1.0/sqrt((r/self.epsilon)**2 + 1)
  >     'gaussian': exp(-(r/self.epsilon)**2)
  >     'linear': r
  >     'cubic': r**3
  >     'quintic': r**5
  >     'thin_plate': r**2 * log(r)
  > If callable, then it must take 2 arguments (self, r). The epsilon parameter will be available as self.epsilon. Other keyword arguments passed in will be available as well. epsilon : float, optional Adjustable constant for gaussian or multiquadrics functions - defaults to approximate average distance between nodes (which is a good start). smooth : float, optional Values greater than zero increase the smoothness of the approximation. 0 is for interpolation (default), the function will always go through the nodal points in this case. norm : callable, optional A function that returns the ‘distance’ between two points, with inputs as arrays of positions (x, y, z, ...), and an output as an array of distance. E.g, the default:
  >     def euclidean_norm(x1, x2):
  >         return sqrt( ((x1 - x2)**2).sum(axis=0) )
  which is called with x1=x1[ndims,newaxis,:] and x2=x2[ndims,:,newaxis] such that the result is a matrix of the distances from each point in x1 to each point in x2.

  Examples

      >>> from scipy.interpolate import Rbf
      >>> x, y, z, d = np.random.rand(4, 50)
      >>> rbfi = Rbf(x, y, z, d)  # radial basis function interpolator instance
      >>> xi = yi = zi = np.linspace(0, 1, 20)
      >>> di = rbfi(xi, yi, zi)   # interpolated values
      >>> di.shape
      (20,)

  Methods

  `__call__`(*args) |