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.
These packages are available at github.com/AlgebraicGeometricModeling/.
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AlgebraicSolvers.jl: solvers of multivariate polynomial equations, using resultant constructions and computing truncated normal forms
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MomentPolynomialOpt.jl: solvers of moment and polynomial optimization problems based on moment relaxations
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MultivariateSeries.jl: multivariate series to represent and compute with series of pseudo-moments and dual linear functionals on polynomials
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TensorDec.jl: tools for the decomposition of tensors
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SemiAlgebraicTypes.jl: semi-algebraic objects, such as points, spheres, lines, ellipsoids, bsplines, meshes, ...
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Axl.jl: visualization of semi-algebraic objects
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GSplines.jl: geometrically smooth splines on quadrangular meshes
- GISMO. Geometry and Simulation: a C++ library for IsoGeometric Analysis
For more details, see here.