Mathematical Smoothing
A mathematical operator that modifies a signal by weighting neighboring data points according to a normal distribution curve is used to smooth measurement profiles. In paper and paperboard analysis, applying a gaussian filter helps remove high-frequency noise from surface roughness scans. This process allows engineers to evaluate the underlying micro-contour of the sheet without interference from fine-scale surface textures.
The filter uses a specified cutoff wavelength to determine which surface variations are suppressed.
Roughness Separation
Metrology instruments rely on this technique to distinguish between macro-scale waviness and micro-scale roughness. By separating these two components, the gaussian filter provides a clearer picture of how a paperboard surface will interact with printing ink or coatings. Waviness affects how the sheet feeds through a press, while roughness determines the gloss and ink transfer characteristics of the surface.
This dual analysis is essential for maintaining consistent print quality on high-speed presses.
Boundary Limitation
Numerical limitations of the algorithm appear at the ends of the scan line. The gaussian filter cannot process the margins of a dataset without using specialized extrapolation methods. This restriction means that the very edge of a paper sample cannot be profiled with the same accuracy as the center.