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Andreas Meyer 2008-03-19 14:34:53 +00:00
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@ -22,7 +22,7 @@ A {\em 2D contour} is a closed sequence (a cycle) of 3 or more \textit{connected
If the edges intersect only at the vertices and at most are coincident along a line but do not {\em cross} one another, the contour is classified as {\em simple}.\\
A contour is topologically equivalent to a \textit{disk} and if it is simple, is said to be a \textit{Jordan Curve}.\\
Contours partition the plane in two open regions: one bounded and one unbounded. If the bounded region of a contour is only one \textit{singly-connected set}, the contour is said to be {\em strictly-simple}.\\
The \ccc{Orientation} of a contour is given by the order of the vertices around the region they bound. It can be \ccc{CLOCKWISE) (CCW) or \ccc{COUNTERCLOCKWISE} (CW).\\
The \ccc{Orientation} of a contour is given by the order of the vertices around the region they bound. It can be \ccc{CLOCKWISE} (CCW) or \ccc{COUNTERCLOCKWISE} (CW).\\
The {\em bounded side} of a contour edge is the side facing the bounded region of the contour. If the contour is oriented CCW, the bounded side of an edge is its left side.
A contour with a null edge (a segment of length zero given by two consecutive coincident vertices), or with edges not connected to the bounded region (an antenna: 2 consecutive edges going forth and back along the same line), is said to be {\em degenerate} (collinear edges are \textit{not} considered a degeneracy).