IMFExpansion Class Reference
[IMFExpansion]

A chart, which represents a neighborhood on a manifold. More...

#include <IMFExpansion.h>

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Detailed Description

A chart, which represents a neighborhood on a manifold.

An MFChart represents an individual chart in the atlas of a manifold. The domain of the chart is a spherical ball in a k-dimensional Euclidean space, where k is the dimension of the manifold. The chart mapping maps from the domain of the chart onto the manifold, which is embedded in an n-dimensional Euclidean space, called the embedding space. In addition, each chart has a k-dimensional polyhedron (or polytope) which approximately partitions the manifold into disjoint pieces, and allows the boundary of the manifold to be determined.

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The documentation for this class was generated from the following file:

• include/IMFExpansion.h

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