AlgebraicGeometricModeling

This project contains packages for Algebraic Computation and Geometric Modeling, that is for high order geometric modeling with algebraic or semi-algebraic models such as polynomials, splines, tensors … and for creating and computing with these models.

Julia Packages

These packages are available at github.com/AlgebraicGeometricModeling/.

• AlgebraicSolvers.jl: solvers of multivariate polynomial equations, using resultant constructions and computing truncated normal forms
  

• MomentPolynomialOpt.jl: solvers for polynomial optimization problems and generalized moment problems, using SDP solvers
  

• MultivariateSeries.jl: multivariate series to represent and compute with series of pseudo-moments and dual linear functionals on polynomials
  

• TensorDec.jl: tools for the decomposition of tensors
  

• SemiAlgebraicTypes.jl: semi-algebraic objects, such as points, spheres, lines, ellipsoids, bsplines, meshes, …
  

• Axl.jl: visualization of semi-algebraic objects
  

• GSplines.jl: geometrically smooth splines on quadrangular meshes
  

IGA library

• GISMO. Geometry and Simulation: a C++ library for IsoGeometric Analysis
  

For more details, see here.