Course Name: ED5310 : Differential and Computational Geometry

Description: Differential geometry of curves and surfaces: Tangent vector, normal plane, principal normal, binomial, osculating plane, moving trihedron, curvature and torsion, Arc length, First and second fundamental forms, tangent plane, principal curvatures, geodesics, umbilical points, point classification, characteristic tests, relational properties, intersection of surfaces, offsets and bisectors. Topology: Homeomorphism, Topology of Surfaces, Invariants of Surfaces, Surfaces as Manifolds. Computational Geometry: Polygon triangulation and partitioning, Convex hull in two and three dimensions, Voronoi diagram and Delaunay triangulation, and Arrangements.

Slot: E

RoomNo: ED408A

Instructor: Ramanathan M

Period: JAN-MAY 2013

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