mirror of https://github.com/CGAL/cgal
73 lines
2.7 KiB
TeX
73 lines
2.7 KiB
TeX
% +------------------------------------------------------------------------+
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% | Reference manual page: InterpolationTraits.tex
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% +------------------------------------------------------------------------+
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% | 06.04.2000 Author
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% | Package: Package
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% |
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\RCSdef{\RCSInterpolationtraitsRev}{$Id$}
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\RCSdefDate{\RCSInterpolationtraitsDate}{$Date$}
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% |
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%%RefPage: end of header, begin of main body
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% +------------------------------------------------------------------------+
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\begin{ccRefConcept}{InterpolationTraits}
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\ccDefinition
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Most interpolation functions are parameterized by a traits class that
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defines the primitives used in the interpolation algorithms. The concept
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\ccRefName\ defines this common set of requirements.
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\ccTypes \ccNestedType{FT}{The number type must follow the model
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\ccc{FieldNumberType}.} \ccNestedType{Point_d}{The point type on
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which the function is defined and interpolated.}
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\ccNestedType{Vector_d}{The corresponding vector type.}
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\ccNestedType{Construct_vector_d} {A constructor object for
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\ccc{Vector_d}.
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Provides~: \\
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\ccc{Vector_d operator() (Point_d a, Point_d b)} which produces the
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vector \ccc{b -
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a} and \\
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\ccc{Vector_d operator() (Null_vector NULL_VECTOR)} which introduces
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the null vector.}
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\ccNestedType{Construct_scaled_vector_d}{Constructor object for
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\ccc{Vector_d}.
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Provides~: \\
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\ccc{Vector_d operator() (Vector_d v,FT scale)} which produces the
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vector \ccc{v} scaled by a factor \ccc{scale}.}
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\ccNestedType{Compute_squared_distance_d} {Constructor
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object for \ccc{FT}. Provides the operator:\\
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\ccc{FT operator() (Point_d a, Point_d b)} returning the squared
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distance between \ccc{a} and \ccc{b}.}
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%\ccCreation
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\ccCreationVariable{traits} %% choose variable name
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\ccConstructor{InterpolationTraits();}{default constructor.}
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\ccHeading{Construction objects} The following functions that
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create instances of the above constructor object types must exist.
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\ccMethod{Construct_vector_d construct_vector_d_object();}{}
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\ccGlue
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\ccMethod{Construct_scaled_vector_d construct_scaled_vector_d_object();}{}
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\ccGlue
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\ccMethod{Compute_squared_distance_d compute_squared_distance_d_object();}{}
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\ccHasModels
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\ccRefIdfierPage{CGAL::Interpolation_traits_2<K>}\\
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\ccRefIdfierPage{CGAL::Interpolation_gradient_fitting_traits_2<K>}\\
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\ccSeeAlso
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\ccRefConceptPage{GradientFittingTraits}\\
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\ccRefIdfierPage{CGAL::sibson_c1_interpolation} \\
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\ccRefIdfierPage{CGAL::sibson_gradient_fitting} \\
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\ccRefIdfierPage{CGAL::farin_c1_interpolation} \\
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\ccRefIdfierPage{CGAL::quadratic_interpolation} \\
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%\ccRefIdfierPage{CGAL::natural_neighbor_coordinates_2}\\
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%\ccRefIdfierPage{CGAL::regular_neighbor_coordinates_2} \\
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%\ccRefIdfierPage{CGAL::surface_neighbor_coordinates_3}\\
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\end{ccRefConcept}
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