nearest_point_3d Program

Uses

  • program~~nearest_point_3d~~UsesGraph program~nearest_point_3d nearest_point_3d module~forcad forcad program~nearest_point_3d->module~forcad module~forcad_kinds forcad_kinds module~forcad->module~forcad_kinds 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_nurbs_curve->module~forcad_kinds module~forcad_utils forcad_utils module~forcad_nurbs_curve->module~forcad_utils module~forcad_nurbs_surface->module~forcad_kinds module~forcad_nurbs_surface->module~forcad_utils module~forcad_nurbs_volume->module~forcad_kinds module~forcad_nurbs_volume->module~forcad_utils module~forcad_utils->module~forcad_kinds

The weights of the control points (Wc) are optional.

Generate the NURBS volume with resolutions of 20, 20, 20

Find the nearest point on the volume to a given point Find the nearest point on the volume 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 volume object


Calls

program~~nearest_point_3d~~CallsGraph program~nearest_point_3d nearest_point_3d none~set~3 nurbs_volume%set program~nearest_point_3d->none~set~3 proc~create~3 nurbs_volume%create program~nearest_point_3d->proc~create~3 proc~finalize~3 nurbs_volume%finalize program~nearest_point_3d->proc~finalize~3 proc~nearest_point2~3 nurbs_volume%nearest_point2 program~nearest_point_3d->proc~nearest_point2~3 proc~nearest_point~3 nurbs_volume%nearest_point program~nearest_point_3d->proc~nearest_point~3 proc~set1~3 nurbs_volume%set1 none~set~3->proc~set1~3 proc~set2~3 nurbs_volume%set2 none~set~3->proc~set2~3 proc~set3~3 nurbs_volume%set3 none~set~3->proc~set3~3 proc~set4~3 nurbs_volume%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_volume%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_volume%derivative2 proc~nearest_point2~3->none~derivative2~3 proc~cmp_xg~3 nurbs_volume%cmp_Xg proc~nearest_point2~3->proc~cmp_xg~3 proc~inv inv proc~nearest_point2~3->proc~inv proc~nearest_point_help_3d nearest_point_help_3d proc~nearest_point~3->proc~nearest_point_help_3d proc~compute_xg_bspline_3d compute_Xg_bspline_3d interface~compute_xg~3->proc~compute_xg_bspline_3d proc~compute_xg_bspline_3d_1point compute_Xg_bspline_3d_1point interface~compute_xg~3->proc~compute_xg_bspline_3d_1point proc~compute_xg_nurbs_3d compute_Xg_nurbs_3d interface~compute_xg~3->proc~compute_xg_nurbs_3d proc~compute_xg_nurbs_3d_1point compute_Xg_nurbs_3d_1point interface~compute_xg~3->proc~compute_xg_nurbs_3d_1point proc~ndgrid2 ndgrid2 interface~ndgrid->proc~ndgrid2 proc~ndgrid3 ndgrid3 interface~ndgrid->proc~ndgrid3 proc~derivative2_scalar~3 nurbs_volume%derivative2_scalar none~derivative2~3->proc~derivative2_scalar~3 proc~derivative2_vector~3 nurbs_volume%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_volume%cmp_degree proc~set1~3->proc~cmp_degree~3 proc~cmp_nc~3 nurbs_volume%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_volume%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~basis_bspline basis_bspline proc~compute_xg_bspline_3d->proc~basis_bspline proc~kron kron proc~compute_xg_bspline_3d->proc~kron proc~compute_xg_bspline_3d_1point->proc~basis_bspline proc~compute_xg_bspline_3d_1point->proc~kron proc~cmp_tgc_3d cmp_Tgc_3d proc~compute_xg_nurbs_3d->proc~cmp_tgc_3d proc~compute_xg_nurbs_3d_1point->proc~basis_bspline proc~compute_xg_nurbs_3d_1point->proc~kron 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_d2tgc_bspline_3d_scalar compute_d2Tgc_bspline_3d_scalar interface~compute_d2tgc~3->proc~compute_d2tgc_bspline_3d_scalar proc~compute_d2tgc_bspline_3d_vector compute_d2Tgc_bspline_3d_vector interface~compute_d2tgc~3->proc~compute_d2tgc_bspline_3d_vector proc~compute_d2tgc_nurbs_3d_scalar compute_d2Tgc_nurbs_3d_scalar interface~compute_d2tgc~3->proc~compute_d2tgc_nurbs_3d_scalar proc~compute_d2tgc_nurbs_3d_vector compute_d2Tgc_nurbs_3d_vector interface~compute_d2tgc~3->proc~compute_d2tgc_nurbs_3d_vector proc~compute_multiplicity1 compute_multiplicity1 interface~compute_multiplicity->proc~compute_multiplicity1 proc~compute_multiplicity2 compute_multiplicity2 interface~compute_multiplicity->proc~compute_multiplicity2 proc~cmp_tgc_3d->proc~basis_bspline proc~cmp_tgc_3d->proc~kron proc~get_multiplicity~3->interface~compute_multiplicity proc~compute_d2tgc_bspline_3d_scalar->proc~kron interface~basis_bspline_2der basis_bspline_2der proc~compute_d2tgc_bspline_3d_scalar->interface~basis_bspline_2der proc~compute_d2tgc_bspline_3d_vector->proc~kron proc~compute_d2tgc_bspline_3d_vector->interface~basis_bspline_2der proc~compute_d2tgc_nurbs_3d_scalar->proc~kron proc~compute_d2tgc_nurbs_3d_scalar->interface~basis_bspline_2der proc~compute_d2tgc_nurbs_3d_vector->proc~kron proc~compute_d2tgc_nurbs_3d_vector->interface~basis_bspline_2der proc~basis_bspline_2der_a basis_bspline_2der_A interface~basis_bspline_2der->proc~basis_bspline_2der_a proc~basis_bspline_2der_b basis_bspline_2der_B interface~basis_bspline_2der->proc~basis_bspline_2der_b proc~basis_bspline_2der_c basis_bspline_2der_C interface~basis_bspline_2der->proc~basis_bspline_2der_c

Variables

Type Attributes Name Initial
real(kind=rk) :: Wc(8)

Weights of the control points
real(kind=rk) :: Xc(8,3)

Control points
integer :: id

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

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

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

Declare a NURBS volume object