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fitpack_parametric_curves::fitpack_closed_curve Type Reference
Closed (periodic) parametric curve fitter. More...
Inheritance diagram for fitpack_parametric_curves::fitpack_closed_curve:
Collaboration diagram for fitpack_parametric_curves::fitpack_closed_curve:
Additional Inherited Members | |
 Public Member Functions inherited from fitpack_parametric_curves::fitpack_parametric_curve | |
| procedure | destroy (this) |
| Clean memory. | |
| procedure | new_points (this, x, u, w) |
| Set new points. | |
| procedure | set_default_parameters (this) |
| Compute default parameter values from cumulative chord lengths. | |
| procedure | new_fit (this, x, u, w, smoothing, order) |
| Generate new fit. | |
| procedure | fit (this, smoothing, order, keep_knots) |
| Generate/update fitting curve, with optional smoothing. | |
| procedure | interpolate (this, order, reset_knots) |
| Fit an interpolating parametric spline ( \( s = 0 \)) through the data points. | |
| procedure | least_squares (this, smoothing, reset_knots) |
| Fit a least-squares parametric spline with fixed knots. | |
| procedure | eval_one (this, u, ierr) |
| Evaluate curve at given coordinates. | |
| procedure | eval_many (this, u, ierr) |
| Evaluate the parametric curve at multiple parameter values. | |
| generic | eval (this, u, ierr) |
| Evaluate curve at given coordinates. | |
| generic | eval (this, u, ierr) |
| Evaluate the parametric curve at multiple parameter values. | |
| generic | dfdx (this, u, order, ierr) |
| Evaluate derivative at given coordinates. | |
| generic | dfdx (this, u, order, ierr) |
| Evaluate the k-th derivative at multiple parameter values. | |
| generic | dfdx_all (this, u, ierr) |
| Evaluate all derivatives \( \mathbf{s}^{(j)}(u) \) for \( j = 0, \ldots, k \). | |
| procedure | comm_size (this) |
| Parallel communication interface (size/pack/expand) | |
| procedure | comm_pack (this, buffer) |
| Pack parametric curve data into a communication buffer. | |
| procedure | comm_expand (this, buffer) |
| Expand parametric curve data from a communication buffer. | |
| type(fitpack_parametric_curve) function | new_from_points (x, u, w, ierr) |
| Construct a parametric curve from data points and perform a default fit. | |
| Public Member Functions inherited from fitpack_fitters::fitpack_fitter | |
| procedure, non_overridable | mse (this) |
| MSE accessor (shared by all types) | |
| procedure, non_overridable | core_comm_size (this) |
| Base field helpers for comm (non-overridable, called by subtypes) | |
| procedure, non_overridable | core_comm_pack (this, buffer) |
| Pack base fields into communication buffer. | |
| procedure, non_overridable | core_comm_expand (this, buffer) |
| Expand base fields from communication buffer. | |
| procedure, non_overridable | destroy_base (this) |
| Base field reset (called by subtype destroy methods) | |
| procedure(comm_size_if), deferred | comm_size (this) |
| Deferred communication interface. | |
| procedure(comm_pack_if), deferred | comm_pack (this, buffer) |
| procedure(comm_expand_if), deferred | comm_expand (this, buffer) |
| Public Attributes inherited from fitpack_parametric_curves::fitpack_parametric_curve | |
| integer | m = 0 |
| Number of points. | |
| integer | idim = 0 |
| Number of dimensions. | |
| real(fp_real), dimension(:,:), allocatable | x |
| The data points. | |
| logical | has_params = .false. |
| Parameter values: one for each point. They may be optional, in which case, they will be internally calculated by fitpack. | |
| real(fp_real), dimension(:), allocatable | u |
| integer | order = 3 |
| Spline degree. | |
| real(fp_real) | ubegin = zero |
| Interval boundaries. | |
| real(fp_real) | uend = zero |
| real(fp_real), dimension(:), allocatable | sp |
| real(fp_real), dimension(:), allocatable | w |
| integer | nest = 0 |
| real(fp_real), dimension(:,:), allocatable | dd |
| integer | knots = 0 |
| real(fp_real), dimension(:), allocatable | t |
| Public Attributes inherited from fitpack_fitters::fitpack_fitter | |
| integer(fp_flag) | iopt = IOPT_NEW_SMOOTHING |
| Fitting state flag. | |
| real(fp_real) | smoothing = 1000.0_FP_REAL |
| Smoothing parameter. | |
| real(fp_real) | fp = zero |
| Weighted sum of squared residuals. | |
| real(fp_real), dimension(:), allocatable | c |
| B-spline coefficients. | |
| integer(fp_size) | lwrk = 0 |
| Real workspace and its size. | |
| real(fp_real), dimension(:), allocatable | wrk |
| integer(fp_size) | liwrk = 0 |
| Integer workspace and its size. | |
| integer(fp_size), dimension(:), allocatable | iwrk |
Detailed Description
Closed (periodic) parametric curve fitter.
Extension of fitpack_parametric_curve for curves that close on themselves, i.e. \( \mathbf{s}(u_1) = \mathbf{s}(u_m) \). Uses the clocur core routine which enforces periodic boundary conditions on the B-spline representation.
- See also
- Dierckx, Ch. 9, §9.2 (pp. 213–216); clocur
The documentation for this type was generated from the following file:
