nifty8.domains.structured_domain module#
- class StructuredDomain[source]#
Bases:
Domain
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#
pixel volume(s)
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.
- Type:
float or numpy.ndarray(dtype=float)
- get_fft_smoothing_kernel_function(sigma)[source]#
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.
- Parameters:
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.
- Returns:
A smoothing operation that multiplies values with a Gaussian kernel.
- Return type:
function (array-like -> array-like)
- get_k_length_array()[source]#
k vector lengths, if applicable.
Returns the length of the k vector for every pixel. This method is only implemented for harmonic domains.
- Returns:
An array containing the k vector lengths
- Return type:
- get_unique_k_lengths()[source]#
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.
- Type:
bool
- 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.
- Type:
float or None
- property total_volume#
Total domain volume.
Returns the sum over all the domain’s pixel volumes.
- Type:
float