Vissarion Fisikopoulos

3 Abonné

computational geometry polytopes c++ sampling experimental analysis combinatorics statistics gis newton polytope polytope theory volume computation algebraic geometry computations experiments software development r marcov chains monte carlo mathematical software algorithms boost geography convex hull secondary polytope trajectories engineering artificial inteligence optimization algorithm engineering geometric predicates regular triangulations newton poly-tope of sparse resultant convex polytopes 2-level polytopes resultants complexity volume software mathematics mysql libraries determinant algorithms point location orientation predicate polynomial resultant hashing cayley trick general dimension regular triangulation cgal implementation experimental complexity mixed subdivision resultant polynomial

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Vissarion Fisikopoulos

Présentations

Combinatorics of 4-dimensional Resultant Polytopes

An algorithm for computing resultant polytopes

Faster Geometric Algorithms via Dynamic Determinant Computation

The Earth is not flat; but it's not round either (Geography on Boost.Geometry)

Geodesic algorithms: an experimental study

Volume computation and applications

A new practical algorithm for volume estimation using annealing of convex bodies

Efficient Random-Walk Methods forApproximating Polytope Volume

Volume and edge skeleton computation in high dimensions

The Newton polytope of the sparse resultant

Polyhedral computations in computational algebraic geometry and optimization

Enumeration of 2-level polytopes

High-dimensional polytopes defined by oracles: algorithms, computations and applications

Conctructing Polytopes via a Vertex Oracle

High-dimensional sampling and volume computation

Working with spatial trajectories in Boost Geometry

High-dimensional polytopes defined by oracles: algorithms, computations and applications

Efficient Edge-Skeleton Computation for Polytopes Defined by Oracles

"Combinatorics of 4-dimensional resultant polytopes"

Efficient Volume and Edge-Skeleton Computation for Polytopes Given by Oracles

Oracle-based algorithms for high-dimensional polytopes.

"Faster Geometric Algorithms via Dynamic Determinant Computation."

"An output-sensitive algorithm for computing projections of resultant polytopes."

"Exact and approximate algorithms for resultant polytopes."

"Regular triangularions and resultant polytopes."

"Mesh of Periodic Minimal Surfaces in CGAL."