CGAL 4.4 - 3D Spherical Geometry Kernel
|
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.
Concepts | |
concept | CompareX |
concept | CompareXY |
concept | CompareXYZ |
concept | CompareY |
concept | CompareZ |
concept | ConstructPolynomial_1_3 |
concept | ConstructPolynomialForSpheres_2_3 |
concept | ConstructPolynomialsForLines_3 |
concept | 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 | 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 | PolynomialsForCircles_3 |
Concept to represent a system of polynomials on FieldNumberType capable of storing equations of circles. More... | |
concept | PolynomialsForLines_3 |
Concept to represent a system of polynomials on FieldNumberType capable of storing equations of lines. More... | |
concept | 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 | SignAt |
concept | Solve |
concept | XCriticalPoints |
concept | YCriticalPoints |
concept | ZCriticalPoints |
A model of the concept AlgebraicKernelForSpheres::CompareX
.
A model of the concept AlgebraicKernelForSpheres::CompareXY
.
A model of the concept AlgebraicKernelForSpheres::CompareXYZ
.
A model of the concept AlgebraicKernelForSpheres::CompareY
.
A model of the concept AlgebraicKernelForSpheres::CompareZ
.
A model of FieldNumberType
<RT>
.
A model of AlgebraicKernelForSpheres::Polynomial_1_3
, for trivariate polynomials of degree up to 1.
A model of AlgebraicKernelForSpheres::PolynomialForSpheres_2_3
, for trivariate polynomials of degree up to 2 that can store equations of spheres.
A model of AlgebraicKernelForSpheres::PolynomialsForLines_3
, for systems of polynomials that can store equations of lines in 3D.
A model of AlgebraicKernelForSpheres::RootForSpheres_2_3
, for solutions of systems of three models of AlgebraicKernelForSpheres::PolynomialForSpheres_2_3
.
A model of RootOf_2
, for algebraic numbers of degree up to 2.
A model of RingNumberType
.
A model of the concept AlgebraicKernelForSpheres::SignAt
.
A model of the concept AlgebraicKernelForSpheres::Solve
.
A model of the concept AlgebraicKernelForSpheres::XCriticalPoints
.
A model of the concept AlgebraicKernelForSpheres::YCriticalPoints
.
A model of the concept AlgebraicKernelForSpheres::ZCriticalPoints
.