functionconstructor
create a 2D-Spline object
Extends from Modelica.Icons.Function (Icon for functions).
Information
Generate smooth 2D spline surface
This function generates a 2D-surface object by approximating spline fitting. Input data may be scattered or on a rectangular grid.Rectangular data
In case of rectangular data points, set boolean parameter isRect to true and provide the data as array in the common Modelica table form:0 | y1 | y2 | y3 | ... --+----+----+----+----- x1 | z11| z12| z13| ... x2 | z21| z22| z23| ... x3 | z31| z32| z33| ... ...| ...| ...| ...| ...
Scattered data
In case of scattered data points, set parameter isRect to false and provide the data as 3- or 4-column array:x1 | y1 | z1 | w1 | x2 | y2 | z2 | w2 | x3 | y3 | z3 | w3 | ...| ...| ...| .. | or x1 | y1 | z1 | x2 | y2 | z2 | x3 | y3 | z3 | ...| ...| ...|The last column w[i] is the optional weight of the data points. If no weights are given, any data points are weighted equally.
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Boolean | rectangular | false | set true if input data is on rectangular grid, otherwise assume scattered data |
| Real[:,:] | data | data to be fitted (see doku) | |
| Real | s | 0 | smoothing factor (s>0) |
| Integer | kx | 3 | degree of X-dir spline (should be odd) |
| Integer | ky | 3 | degree of Y-dir spline (should be odd) |
| Real[2] | x_lim | {if rectangular then ApproxSpline.Utilities.vmin(data[2:size(data, 1), 1]) else ApproxSpline.Utilities.vmin(data[:, 1]), if rectangular then ApproxSpline.Utilities.vmax(data[2:size(data, 1), 1]) else ApproxSpline.Utilities.vmax(data[:, 1])} | X-dir boundaries of interpolation interval |
| Real[2] | y_lim | {if rectangular then ApproxSpline.Utilities.vmin(data[1, 2:size(data, 2)]) else ApproxSpline.Utilities.vmin(data[:, 2]), if rectangular then ApproxSpline.Utilities.vmax(data[1, 2:size(data, 2)]) else ApproxSpline.Utilities.vmax(data[:, 2])} | Y-dir boundaries of interpolation interval |
| Real[:] | tx | fill(0, 0) | array of X-dir knot positions (if given together with ty, a least square spline is generated) |
| Real[:] | ty | fill(0, 0) | array of Y-dir knot positions (if given together with ty, a least square spline is generated) |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Type | surf | 2-D spline surface data structure |