Total Degree Formula for the Generic Offset to a Parametric Surface
F. San Segundo, J. R. Sendra
TL;DR
This paper derives a formula using resultants to determine the total degree of the generic offset to a parametric surface, applicable even when the parametrization is not proper.
Contribution
It introduces a novel resultant-based formula for the total degree of offsets to parametric surfaces without requiring proper parametrization.
Findings
Provides a closed-form formula for the total degree of offsets.
Applicable to non-proper parametrizations.
Enhances understanding of offset surface complexity.
Abstract
We provide a resultant-based formula for the total degree w.r.t. the spatial variables of the generic offset to a parametric surface. The parametrization of the surface is not assumed to be proper.
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