:: com :: sun :: star :: geometry ::
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interface XMapping2D |
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- Description
- Interface defining an arbitrary bijective mapping from R^2 to R^2.
This interface provides methods to define an arbitrary bijective
mapping from R^2 to R^2, i.e. from the two-dimensional space of
real numbers onto itself, as is representable by the
::double floating point type. The mapping must be
bijective, i.e. map a pair of real numbers to exactly one other
pair of real numbers an vice versa, to facilitate a working
inverse. Bijectiveness also implies completeness, i.e. for every
pair of real numbers there must be another pair that is mapped
upon them.
- Since
- OOo 2.0
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Methods' Summary |
map |
Forward 2D mapping function
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mapInverse |
Inverse 2D mapping function. |
Methods' Details |
map
- Description
- Forward 2D mapping function
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mapInverse
- Description
- Inverse 2D mapping function.
The following invariant must hold:
map(mapInverse(p))=p . This effectively rules out
non-bijective mappings.
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