template<typename Scalar_, int _AmbientDim, int Options_>
class Eigen::ParametrizedLine< Scalar_, _AmbientDim, Options_ >
A parametrized line.
This is defined in the Geometry module.
#include <Eigen/Geometry>
A parametrized line is defined by an origin point \( \mathbf{o} \) and a unit direction vector \( \mathbf{d} \) such that the line corresponds to the set \( l(t) = \mathbf{o} + t \mathbf{d} \), \( t \in \mathbf{R} \).
- Template Parameters
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Scalar_ | the scalar type, i.e., the type of the coefficients |
_AmbientDim | the dimension of the ambient space, can be a compile time value or Dynamic. |
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template<typename NewScalarType > |
internal::cast_return_type< ParametrizedLine, ParametrizedLine< NewScalarType, AmbientDimAtCompileTime, Options > >::type | cast () const |
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Index | dim () const |
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RealScalar | distance (const VectorType &p) const |
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template<int OtherOptions> |
Scalar_ | intersection (const Hyperplane< Scalar_, _AmbientDim, OtherOptions > &hyperplane) const |
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template<int OtherOptions> |
Scalar_ | intersectionParameter (const Hyperplane< Scalar_, _AmbientDim, OtherOptions > &hyperplane) const |
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template<int OtherOptions> |
VectorType | intersectionPoint (const Hyperplane< Scalar_, _AmbientDim, OtherOptions > &hyperplane) const |
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bool | isApprox (const ParametrizedLine &other, const typename NumTraits< Scalar >::Real &prec=NumTraits< Scalar >::dummy_precision()) const |
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| ParametrizedLine () |
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template<int OtherOptions> |
| ParametrizedLine (const Hyperplane< Scalar_, _AmbientDim, OtherOptions > &hyperplane) |
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template<typename OtherScalarType , int OtherOptions> |
| ParametrizedLine (const ParametrizedLine< OtherScalarType, AmbientDimAtCompileTime, OtherOptions > &other) |
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| ParametrizedLine (const VectorType &origin, const VectorType &direction) |
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| ParametrizedLine (Index _dim) |
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VectorType | pointAt (const Scalar &t) const |
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VectorType | projection (const VectorType &p) const |
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RealScalar | squaredDistance (const VectorType &p) const |
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template<typename XprType > |
ParametrizedLine & | transform (const MatrixBase< XprType > &mat, TransformTraits traits=Affine) |
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template<int TrOptions> |
ParametrizedLine & | transform (const Transform< Scalar, AmbientDimAtCompileTime, Affine, TrOptions > &t, TransformTraits traits=Affine) |
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