Welcome to SpharaPy

What is SpharaPy?

SpharaPy is a Python implementation of the new approach for spatial harmonic analysis (SPHARA) that extends the classical spatial Fourier analysis to non-uniformly positioned samples on an arbitrary surface in \(\mathbb{R}^3\), see also [GEF+15]. The basis functions used by SPHARA are determined by eigenanalysis of the discrete Laplace-Beltrami operator defined on a triangular mesh specified by the spatial sampling points. The Python toolbox SpharaPy provides classes and functions to determine the SPHARA basis functions, to perform data analysis and synthesis (SPHARA transform) as well as classes to design spatial filters using the SPHARA basis.

Requirements and installation

Required packages:

• numpy (>=1.16.1)

• scipy (>=1.2.0)

• matplotlib (>=3.0.2)

To install, simply use:

$ pip3 install spharapy

Examples and Usage

Minimal examples are contained in the source code of the package. For more detailed examples please have a look at the tutorials.