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Local shape of offsets to algebraic curves. (English) Zbl 1123.14031

Summary: We introduce the notion of local shape to describe the behavior of a real place of an algebraic curve around its center. We analyze how the local shape is affected by the offsetting process, and we relate this phenomenon to the curvature of the curve. Furthermore, we characterize the situations when the offsetting process behaves locally well, so that the local shape is preserved.

MSC:

14Q05 Computational aspects of algebraic curves
68W30 Symbolic computation and algebraic computation
14H20 Singularities of curves, local rings
14H50 Plane and space curves

Software:

CASA
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Full Text: DOI

References:

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