Subdivision is a powerful technique that has many useful applications. The fundamental concept is the splitting of a curve or surface into smaller pieces whose union is identical to the original curve or surface. Standard Bezier subdivision splits the curve at the midpoint of the curve, in parametric space.
This paper generalizes midpoint subdivision to arbitrary subdivision, enabling the subdivision to be performed at any parametric value, not solely at the midpoint. This allows for subdivision that would adapt to regions of varying curvature or correlate with the curve length in geometric space.
After explaining the original development of Bezier curves, the mathematical theory for arbitrary subdivision is developed, and finally an illustration of the subdivision process that shows the recursive procedure in a step-by-step manner is given.
Title
Arbitrary Subdivision of Bezier Curves
Published
1985-11-01
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
CSD-86-265
Type
Text
Extent
20 p
Archive
The Engineering Library
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