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Topic: Classification of quadrilaterals
Replies: 17   Last Post: Jan 11, 1995 6:43 AM

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Walter Whiteley

Posts: 418
Registered: 12/3/04
Re: Classification of quadrilaterals
Posted: Dec 21, 1994 6:48 AM
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There appear to be a number of 'computational geometry' algorithms
that involve splitting larger polygons up into (convex) trapezoids
and working out various facts for these simple objects. The process
often begins with sweeping a line of fixed slope through the object,
picking up vertices and drawing those lines in - creating a set
of trapezoids (or triangles which are thought of as degenerate
trapezoids). Last year at the Cinicnnati meeting Joe Malkovitch
mentioned a recent IBM patent on dividing polygons into trapezoids.

Of course all that fits John's observation - just simple
convenience because people would rather not really 'do geometry'!

Walter Whiteley






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