CGAL 4.7 - 3D Spherical Geometry Kernel: Algebraic Concepts

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 3D Spherical Geometry Kernel

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3D Spherical Geometry Kernel Reference

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## Concepts

concept | AlgebraicKernelForSpheres::CompareX
concept | AlgebraicKernelForSpheres::CompareXY
concept | AlgebraicKernelForSpheres::CompareXYZ
concept | AlgebraicKernelForSpheres::CompareY
concept | AlgebraicKernelForSpheres::CompareZ
concept | AlgebraicKernelForSpheres::ConstructPolynomial_1_3
concept | AlgebraicKernelForSpheres::ConstructPolynomialForSpheres_2_3
concept | AlgebraicKernelForSpheres::ConstructPolynomialsForLines_3
concept | AlgebraicKernelForSpheres::Polynomial_1_3
| Concept to represent trivariate polynomials of degree 1 whose coefficients are of a type that is a model of the concept `RingNumberType`. More...
concept | AlgebraicKernelForSpheres::PolynomialForSpheres_2_3
| Concept to represent trivariate polynomials of degree up to 2 capable of storing equations of spheres, whose center's coordinates, as well as the square of the radius, are of a type that is a model of the concept `FieldNumberType`. More...
concept | AlgebraicKernelForSpheres::PolynomialsForCircles_3
| Concept to represent a system of polynomials on `FieldNumberType` capable of storing equations of circles. More...
concept | AlgebraicKernelForSpheres::PolynomialsForLines_3
| Concept to represent a system of polynomials on `FieldNumberType` capable of storing equations of lines. More...
concept | AlgebraicKernelForSpheres::RootForSpheres_2_3
| Concept to represent the roots of a system of three equations of degree 2 in three variables `x`, `y` and `z` that are models of concept `AlgebraicKernelForSpheres::PolynomialForSpheres_2_3`. More...
concept | AlgebraicKernelForSpheres::SignAt
concept | AlgebraicKernelForSpheres::Solve
concept | AlgebraicKernelForSpheres::XCriticalPoints
concept | AlgebraicKernelForSpheres::YCriticalPoints
concept | AlgebraicKernelForSpheres::ZCriticalPoints
concept | AlgebraicKernelForSpheres
| The `AlgebraicKernelForSpheres` concept is meant to provide the curved kernel with all the algebraic functionalities required for the manipulation of spheres, circles, and circular arcs in 3D. More...