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Classification of the relative positions between an ellipsoid and an elliptic paraboloid
- Publication Year :
- 2018
-
Abstract
- We classify all the relative positions between an ellipsoid and an elliptic paraboloid when the ellipsoid is small in comparison with the paraboloid ({\it small} meaning that the ellipsoid cannot be tangent to the paraboloid at two points simultaneously). This provides an easy way to detect contact between the two surfaces by a direct analysis of the coefficients of a fourth degree polynomial.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1806.06805
- Document Type :
- Working Paper