Convert Lines per millimetre to Dots per inch

Convert Lines per millimetre (lp/mm) to Dots per inch (DPI) instantly and accurately.

Conversion Formula

DPI = lp/mm × 25.4

About Lines per millimetre

The line pair per millimetre (lp/mm) is the fundamental unit of spatial resolution in classical optics, characterising the resolving power of a lens, film emulsion, sensor, or microscope objective. A resolving power of N lp/mm means adjacent line pairs separated by 1/(2N) mm can be distinguished - derived from the Abbe diffraction limit (Ernst Abbe, 1873) and Rayleigh criterion (Lord Rayleigh, 1879). Film benchmarks at MTF50: Kodak Tri-X 400: 63 lp/mm; Fujifilm Velvia 50: 160 lp/mm; Kodak Technical Pan: 320 lp/mm. Lens benchmarks: Leica APO-Summicron-M 50 mm f/2 ASPH: ≈ 75 lp/mm at centre. CMOS sensor Nyquist frequency: for pixel pitch p mm, f_Nyquist = 1/(2p) lp/mm - a 4.63 µm pixel limits at ≈ 108 lp/mm. As a dimensional unit, 1 lp/mm = 25.4 LPI = 25.4 PPI exactly. 1 lp/mm = 25.4 PPI.

About Dots per inch

The dot per inch (DPI) is the standard resolution metric for printed output, specifying how many individual ink or toner dots a printing device places per linear inch. Unlike a pixel, a printed dot is a physical deposit of ink variable in size and subject to dot gain (ink spread into substrate). Inkjet photo printers: Epson SureColor SC-P900 up to 5760 DPI; HP DesignJet Z9+Pro at 2400 DPI. Laser printers: HP LaserJet standard 600 DPI; enterprise class 1200 DPI. Offset CTP plate imaging: 2400-3600 DPI. Rule of thumb: required DPI ≥ 1.5 × LPI for acceptable halftone; ≥ 2 × LPI for high quality - a 175 lpi magazine job needs ≥ 350 DPI raster data. Thermal dye-sublimation printers achieve continuous-tone output at 300 DPI because dye diffuses to fill each cell. As a dimensional unit, 1 DPI = 1 PPI; DPI implies physical print output. 1 DPI = 2.54 dots/cm = 25.4 dots/mm.

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