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Statement that parallel curves of implicit curves are in general "not possible" should be backed up by a source, if possible. |
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== Parallel curves of an implicit curve ==
[[File:Offset-of-implicit-curve-c4.svg|250px|thumb|Parallel curves of the implicit curve (red) with equation <math>x^4+y^4-1=0</math>]]
Generally the analytic representation of a parallel curve of an [[implicit curve]] is not possible{{Citation Needed}}. Only for the simple cases of lines and circles the parallel curves can be described easily.
For example:
: ''Line'' <math>\; f(x,y)=x+y-1=0\; </math> → distance function: <math>\; h(x,y)=\frac{x+y-1}{\sqrt{2}}=d\; </math> (Hesse normalform)
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