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We define data structures for encoding the MMIG and we discuss how to extract from an MMIG topological representations of the scalar field over its domain M at both uniform and variable resolutions.
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This variable resolution method creates finer resolution in the tropics and coarser resolution at the poles.
For this latter problem, the results are presented allowing both a constant and a variable resolution.
The shallow water equations on the sphere are solved to test the variable resolution spectral model.
The 3D mesh is composed of tetrahedra and has a variable resolution.
GRAMM is based on the search for the steric complementarity at variable resolution.
Designs of variable resolution were introduced for practical situations where interactions arise only within certain factors.
A variable resolution global spectral method is created on the sphere using High resolution Tropical Belt Transformation (HTBT).
Meep will discretize this structure in space and time, and that is specified by a single variable, resolution, that gives the number of pixels per distance unit.
Some comments are made on the performance of optimal designs of variable resolution in using certain model selection methods.
The method allows us to build efficient, high and variable resolution diffractometers at long pulse spallation sources.
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