Gear inspection coverage audit 2026-11-05
A gear inspection coverage audit records which parts of a tooth surface were eligible for observation, which were excluded and why. It accompanies a gear pitting area fraction or gear inspection common-region comparison so that a numerical damage statistic can be interpreted against the area actually inspected.
A useful record retains the original image, gear pitting inspection mask, surface-coordinate map from image registration, represented pixel areas and exclusion reasons. Shadow, occlusion and an out-of-frame edge are different from a visible region classified as intact. An audit also distinguishes changes in viewing coverage from changes in the image segmentation rule.
An original calculation shows how missing area limits interpretation. Let inspected fraction and observed pitting fraction both refer to the same target surface. If unseen area has unknown pitting fraction , thenso the gear inspection missing-area bound isAt and , the whole-target fraction lies between and without further information. This is a deterministic range over missing data, not a statistical confidence interval. A small observed fraction does not alone establish a small whole-target fraction.
For repeated inspections, record areas visible only initially, only later and at both times. A common-region result can be valid for its intersection while becoming less representative of the full target if a damaged edge is systematically lost. Increasing pixel count inside the retained region does not recover information about the missing region.
The primary NASA gear-endurance study connected inspection history to vibration and oil-debris observations, illustrating the importance of tying a damage interpretation to physical inspection rather than a signal label alone.[ref]
Gear Fault Detection Effectiveness as Applied to Tooth Surface Pitting Fatigue Damage by David G. Lewicki and others. Printed pp. 2–5, test procedure, inspections and monitoring comparisons
The audit and bound above specify an explicit measurement convention; they do not assert that the historical study used this digital-mask procedure. Gear pitting inspection mask 2026-11-05
A gear pitting inspection mask specifies the tooth-flank region over which damage is counted. It separates eligibility for inspection from the classification of an eligible location as pitted. The denominator of a gear pitting area fraction depends on this mask, so a change in coverage can change the reported fraction even when the surface has not changed.
For a digital image, let indicate inclusion of pixel and let indicate its classification as pitted. With represented surface area per pixel,The arrays and are different indicator functions. Uniform pixel areas cancel, but an oblique view or a curved-surface map can require nonuniform . A shadow, occlusion or unrecorded region should not automatically count as intact material.
An original example begins with 200 pitted pixels among 10000 eligible equal-area pixels, giving . Cropping to a 5000-pixel region that retains 150 pitted pixels gives . The counted damaged area fell while the fraction rose; this comparison alone cannot establish damage growth.
A gear inspection common-region comparison first uses image registration to put inspections into corresponding surface coordinates. On a common grid, the intersection mask is . Comparing the two pitting classifications within that same region holds the denominator convention fixed. Coverage outside the intersection should still be reported: excluding a newly obscured damaged edge can hide relevant change.
Useful inspection records retain the raw image, mask, geometric mapping, image thresholding or other image segmentation rule, and the reason for excluded regions. A primary NASA gear-endurance study combined inspection history with vibration and oil-debris observations, illustrating why damage labels must remain connected to actual inspected surfaces.[ref]
Gear Fault Detection Effectiveness as Applied to Tooth Surface Pitting Fatigue Damage by David G. Lewicki and others. Printed pp. 2–5, test procedure, instrumentation and inspection comparisons
The mask formalism above is an explicit measurement convention, not a claim that every historical inspection used this pixel algorithm.