The sampling theorem and pixel size (Hanrahan): The scanning resolution determines the information content of the virtual slide. At 40x with 0.25 µm pixels, the Nyquist limit allows detection of features down to 0.5 µm — sufficient for nuclear morphology and subcellular localization. At 20x with 0.5 µm pixels, features below 1 µm are unresolvable. The choice between 20x and 40x should match the analytical need: nuclear detection and biomarker quantification work at 20x; subcellular localization, mitotic figure identification, and nuclear grading may require 40x.
Image pyramids (Hanrahan/Pawley): The multi-resolution pyramid exploits a fundamental property of visual information: most navigational decisions require only low resolution ("where is the tumor?"), while detailed analysis requires high resolution ("what does this nucleus look like?"). The pyramid pre-computes the low-resolution views rather than computing them on the fly, trading storage space for viewing speed. Each pyramid level is exactly 2× the linear resolution of the level below, enabling standard 2× zoom steps.
Compression and information preservation: Virtual slide formats use lossy (JPEG) or lossless (JPEG2000, LZW) compression. Lossy compression reduces file size 5-10× but introduces artifacts — most visibly as block artifacts around sharp edges at high compression. For quantitative analysis (intensity measurement, spectral unmixing), lossless compression preserves the exact pixel values. For morphological assessment and detection, moderate JPEG compression is acceptable. Pawley warns: "avoid lossy compression" for data intended for quantitative analysis.
Virtual slides store images at multiple resolutions in a pyramid structure — zoomed out for navigation, full detail for analysis. The scanning resolution (20x vs. 40x) determines the finest features that can be detected. File compression reduces storage requirements but lossy compression introduces artifacts that can affect quantitative measurement — lossless compression is preferred for analytical use.