\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.2 - 3D Spherical Geometry Kernel
Classes
Algebraic Concepts
3D Spherical Geometry Kernel Reference

Concepts

conceptAlgebraicKernelForSpheres::CompareX
 
conceptAlgebraicKernelForSpheres::CompareXY
 
conceptAlgebraicKernelForSpheres::CompareXYZ
 
conceptAlgebraicKernelForSpheres::CompareY
 
conceptAlgebraicKernelForSpheres::CompareZ
 
conceptAlgebraicKernelForSpheres::ConstructPolynomial_1_3
 
conceptAlgebraicKernelForSpheres::ConstructPolynomialForSpheres_2_3
 
conceptAlgebraicKernelForSpheres::ConstructPolynomialsForLines_3
 
conceptAlgebraicKernelForSpheres::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...
 
conceptAlgebraicKernelForSpheres::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...
 
conceptAlgebraicKernelForSpheres::PolynomialsForCircles_3
 Concept to represent a system of polynomials on FieldNumberType capable of storing equations of circles. More...
 
conceptAlgebraicKernelForSpheres::PolynomialsForLines_3
 Concept to represent a system of polynomials on FieldNumberType capable of storing equations of lines. More...
 
conceptAlgebraicKernelForSpheres::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...
 
conceptAlgebraicKernelForSpheres::SignAt
 
conceptAlgebraicKernelForSpheres::Solve
 
conceptAlgebraicKernelForSpheres::XCriticalPoints
 
conceptAlgebraicKernelForSpheres::YCriticalPoints
 
conceptAlgebraicKernelForSpheres::ZCriticalPoints
 
conceptAlgebraicKernelForSpheres
 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...