CORDIS Project
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This project focuses on polar varieties in algebraic geometry, aiming to extend their understanding to higher-order properties. It explores their applications in computer vision and algebraic sampling, integrating various mathematical disciplines.
Polar varieties are central objects in algebraic geometry.
Every subvariety in a projective space has an associated list of polar varieties, encoding its tangential properties.
Their degrees determine codimension and degree of the dual variety.
Moreover, under mild generality assumptions, the polar degrees sum up to the Euclidean distance degree.
This quantity is the algebraic degree of the distance of the given variety to a generic point in projective space.
It plays an important role in the co…
KUNGLIGA TEKNISKA HOEGSKOLAN
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