Sampling and Nyquist (Hanrahan): Every pixel is a point sample of the underlying continuous image. The Nyquist-Shannon sampling theorem states that a signal can be perfectly reconstructed from its samples if the sampling rate is at least twice the highest frequency present. In microscopy: the pixel size must be ≤ half the smallest resolvable feature (the Rayleigh criterion distance). For a 1.4 NA objective at 500 nm, lateral resolution is ~180 nm, requiring pixels ≤ 90 nm. Most whole-slide scanners at 40x provide ~250 nm pixels — adequate for nuclear detection but not for diffraction-limited features.
Field illumination uniformity (Dobrucki): Within each FOV, illumination may not be perfectly uniform. Dobrucki warns that "mercury arc lamps have non-uniform field illumination" — intensity can drop 20-40% from center to edge. This creates artifacts: cells at the FOV center appear brighter than identical cells at the edge. Background Removal corrects this within each FOV, but the correction must be applied before any intensity-dependent analysis.
The tile boundary artifact: If tiles are not perfectly stitched (sub-pixel misalignment), features at tile boundaries may show intensity discontinuities — visible as faint lines in the image. More importantly, cells split across tile boundaries may be detected as two partial objects (one in each tile). Border handling solves this by extending each tile's analysis region into the adjacent tile, then deduplicating objects that appear in both tiles' border zones.
Each tile is a sample of the tissue at a specific position. The pixel size determines the smallest detectable feature (Nyquist: at least 2 pixels per feature). Illumination may vary across the tile (brighter center, dimmer edges), requiring correction for accurate intensity measurement. Cells at tile boundaries need border overlap to avoid being split or double-counted.