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Specify Surface Modeling

The **Specify Surface Modeling** toolbar button is used to refine the 3D rendering.

Interpolation

The **Interpolate** algorithm uses a triangular interpolant to generate a surface through each point.
There is no smoothing.

The **Fast Smooth** algorithm uses a Loess 3D nearest neighbor smoothing algorithm and the this same
triangular interpolant is passed through the smoothed points.

Surface Type

The **C0 Continuous Surface** generates a continuous but not smooth surface through the points. The
C0 means zero times continuously differentiable; the surface does not have continuous dx/dz and dy/dz
derivatives.

The **C1 Continuous Surface** generates a surface through the points. The C1 means one time continuously
differentiable; the surface does has continuous but not smooth dx/dz and dy/dz derivatives.

Nearest Neighbor Smoothing

You can choose **Model Order** **1** (Linear), **2** (Quadratic), or **3** (Cubic). The higher
order models will offer a higher accuracy but require more points for an effective fit in the Loess smoothing
algorithm.

The **Neighbor Count** will range from the minimum permissible to the maximum data count. For a higher
order fit, you may need to specify all of the points in the amount of data is small, as is the case for
PeakLab's Explore
option.

If you are smoothing the data you will probably wish to use the C1 interpolant. In general, you will want to use the lowest level of smoothing that gives you a smooth surface free of artifacts. You should use this procedure extensively to optimize the smoothing for any surface for which you wish to infer trends.