nearest_point_2d Program

Uses

  • program~~nearest_point_2d~~UsesGraph program~nearest_point_2d nearest_point_2d module~forcad forcad program~nearest_point_2d->module~forcad module~forcad_nurbs_curve forcad_nurbs_curve module~forcad->module~forcad_nurbs_curve module~forcad_nurbs_surface forcad_nurbs_surface module~forcad->module~forcad_nurbs_surface module~forcad_nurbs_volume forcad_nurbs_volume module~forcad->module~forcad_nurbs_volume module~forcad_utils forcad_utils module~forcad->module~forcad_utils module~forcad_nurbs_curve->module~forcad_utils module~forcad_nurbs_surface->module~forcad_utils module~forcad_nurbs_volume->module~forcad_utils stdlib_quadrature stdlib_quadrature module~forcad_utils->stdlib_quadrature

Set a surface with 4 control points The weights of the control points (Wc) are optional.

Generate the NURBS surface with resolutions of 30 in both dimensions

Find the nearest point on the surface to a given point Find the nearest point on the surface to a given point The optimization method is used to find the nearest point The optimization method is based on the Newton-Raphson method Finalize the NURBS surface object


Calls

program~~nearest_point_2d~~CallsGraph program~nearest_point_2d nearest_point_2d none~set~3 nurbs_surface%set program~nearest_point_2d->none~set~3 proc~create~3 nurbs_surface%create program~nearest_point_2d->proc~create~3 proc~finalize~3 nurbs_surface%finalize program~nearest_point_2d->proc~finalize~3 proc~nearest_point2~3 nurbs_surface%nearest_point2 program~nearest_point_2d->proc~nearest_point2~3 proc~nearest_point~3 nurbs_surface%nearest_point program~nearest_point_2d->proc~nearest_point~3 proc~set1~3 nurbs_surface%set1 none~set~3->proc~set1~3 proc~set2~3 nurbs_surface%set2 none~set~3->proc~set2~3 proc~set3~3 nurbs_surface%set3 none~set~3->proc~set3~3 proc~set4~3 nurbs_surface%set4 none~set~3->proc~set4~3 interface~compute_xg~3 compute_Xg proc~create~3->interface~compute_xg~3 interface~ndgrid ndgrid proc~create~3->interface~ndgrid proc~is_rational~3 nurbs_surface%is_rational proc~create~3->proc~is_rational~3 proc~nearest_point2~3->proc~create~3 proc~nearest_point2~3->proc~finalize~3 proc~nearest_point2~3->proc~nearest_point~3 none~derivative2~3 nurbs_surface%derivative2 proc~nearest_point2~3->none~derivative2~3 proc~cmp_xg~3 nurbs_surface%cmp_Xg proc~nearest_point2~3->proc~cmp_xg~3 proc~inv inv proc~nearest_point2~3->proc~inv interface~nearest_point_help_2d nearest_point_help_2d proc~nearest_point~3->interface~nearest_point_help_2d proc~ndgrid2 ndgrid2 interface~ndgrid->proc~ndgrid2 proc~ndgrid3 ndgrid3 interface~ndgrid->proc~ndgrid3 proc~derivative2_scalar~3 nurbs_surface%derivative2_scalar none~derivative2~3->proc~derivative2_scalar~3 proc~derivative2_vector~3 nurbs_surface%derivative2_vector none~derivative2~3->proc~derivative2_vector~3 proc~cmp_xg~3->interface~compute_xg~3 proc~cmp_xg~3->proc~is_rational~3 proc~inv->proc~inv proc~det det proc~inv->proc~det proc~cmp_degree~3 nurbs_surface%cmp_degree proc~set1~3->proc~cmp_degree~3 proc~cmp_nc~3 nurbs_surface%cmp_nc proc~set1~3->proc~cmp_nc~3 proc~set2~3->proc~cmp_nc~3 proc~compute_knot_vector compute_knot_vector proc~set2~3->proc~compute_knot_vector proc~set3~3->proc~cmp_degree~3 proc~get_multiplicity~3 nurbs_surface%get_multiplicity proc~cmp_degree~3->proc~get_multiplicity~3 interface~compute_multiplicity compute_multiplicity proc~cmp_nc~3->interface~compute_multiplicity proc~repelem repelem proc~compute_knot_vector->proc~repelem proc~derivative2_scalar~3->proc~is_rational~3 interface~compute_d2tgc~3 compute_d2Tgc proc~derivative2_scalar~3->interface~compute_d2tgc~3 proc~derivative2_vector~3->interface~ndgrid proc~derivative2_vector~3->proc~is_rational~3 proc~derivative2_vector~3->interface~compute_d2tgc~3 proc~compute_multiplicity1 compute_multiplicity1 interface~compute_multiplicity->proc~compute_multiplicity1 proc~compute_multiplicity2 compute_multiplicity2 interface~compute_multiplicity->proc~compute_multiplicity2 proc~get_multiplicity~3->interface~compute_multiplicity

Variables

Type Attributes Name Initial
real(kind=rk) :: Wc(4)

Weights of the control points
real(kind=rk) :: Xc(4,3)

Control points
integer :: id

id of the nearest point
real(kind=rk), allocatable :: nearest_Xg(:)

Coordinates of the nearest point on the surface
real(kind=rk), allocatable :: nearest_Xt(:)

Corresponding parametric coordinates of the nearest point
type(nurbs_surface) :: shape

Declare a NURBS surface object