SmoothSurface Class

This class creates a smoothed surface out of scattered data points. It allows to control the Resolution, the surface Margin (extrapolation area around the given points) and the SmoothingFactor.

Out of the provided scattered data points SmoothSurface computes a regular grid via kriging interpolation. In a postprocessing step the grid is smoothed by efficient low-pass filtering (via fast fourier transform).

SmoothSurface can be used like a regular ILNumerics visualization object, directly as a child of Scene.Camera. Or, one may add it to a plot cube to get labeling and all common interactive options.

SmoothSurface is composed out of a regular Surface and an Points shape. The Surface displays the smoothed grid and the Points display the scattered data points. Both objects are accessible by the Surface and PointsOriginal properties, respectively. They can be configured in arbitrary ways, including changing the colormap for the surface, the colors and size of the points, configuring the wireframe, enabling / disabling and configuring light effects.

Kriging interpolation comes with a memory requirement of O(N²). This means, if your input data (point cloud) has n points it will internaly try to create a matrix of n x n single precision floating point values. Make sure to target x64 and/or to limit the number of data points accordingly to allow this memory even for large data.

Another aspect of kriging is its global interpolation method: all data points are considered for each new interpolated value. So, the original points should be 'well suited'. This class together with the Kriging interpolators will perform multiple checks on the data and attempt to remove any disturbing artefacts. But you can help by making sure to provide 'clean' data: don't provide data points laying too close to each other and remove any outliers!

Kriging interpolation is described in more detail here: https://ilnumerics.net/kriging-interpolation-net.html. Note, that this class depends on the ILNumerics.Toolboxes.Interpolation module. (But a license is required for the Drawing2 toolbox only.)

[ILNumerics Drawing2 Toolbox]