- class StructuredDomain¶
The abstract base class for all structured domains.
An instance of a space contains information about the manifold’s geometry and enhances the functionality of Domain by methods that are needed for power spectrum analysis and smoothing.
- property dvol¶
Returns the volume factors of this domain, either as a floating point scalar (if the volume factors are all identical) or as a floating point array with a shape of self.shape.
float or numpy.ndarray(dtype=float)
Helper for Gaussian smoothing.
This method, which is only implemented for harmonic domains, helps to smoothe fields that are defined on a domain that has this domain as its harmonic partner. The returned function does a pointwise evaluation of a zero-centered Gaussian on the field values, which corresponds to a convolution with a Gaussian kernel with sigma standard deviation in position space.
sigma (float) – A real number representing a physical scale on which the smoothing takes place. Mathematically sigma is the standard deviation of a convolution with a normalized, zero-centered Gaussian that takes place in position space.
A smoothing operation that multiplies values with a Gaussian kernel.
- Return type
function (array-like -> array-like)
k vector lengths, if applicable.
Returns the length of the k vector for every pixel. This method is only implemented for harmonic domains.
An array containing the k vector lengths
- Return type
Sorted unique k-vector lengths, if applicable.
Returns an array of floats containing the unique k vector lengths for this domain. This method is only implemented for harmonic domains.
- property harmonic¶
True iff this domain is a harmonic domain.
- property scalar_dvol¶
uniform pixel volume, if applicable
Returns the volume factors of this domain as a floating point scalar, if the volume factors are all identical, otherwise returns None.
float or None
- property total_volume¶
Total domain volume.
Returns the sum over all the domain’s pixel volumes.