Ratio imaging in fluorescence microscopy is used in measuring parameters such as pH, pCa, cytoplasmic porosity, and the relative concentration of fluorescent analogs within single cells. The fastest method for ratio imaging is to use lookup tables on special-purpose image processors. Since lookup tables store integers in integer addresses, using a lookup table will generate rounding errors. The magnitude of the error will depend on the transformation performed and on the number of levels used in the lookup table. We examined ratio imaging by lookup table and computed the errors generated by both inversion and log subtraction methods. Both uniformly fluorescing fields and fluorescing cell images were employed to provide data for use in confirming our calculations and illustrating both the magnitude and spatial incidence of errors. It is shown that, through proper design of lookup tables, a significant reduction can be made in the errors generated in comparison with common methods available in most image processors.Key terms: Image processing, inversion method, log subtraction method Ratio imaging in fluorescence microscopy (16) is used in measuring the temporal and spatial dynamics of cellular parameters including pH (1-4,12) and pCa (8,9,13,15,17,18), as well as local relative concentration of fluorescent analogs (6,ll) and the local porosity of cytoplasm (10) in single living cells. The fundamental physical and chemical issues in the application of ratio imaging to fluorescence microscopy were addressed previously (1,2), including the effects of excitation light level, lamp operation, intracellular probe concentration, and spatial signal-to-noise ratio. This study treats fundamental mathematical issues concerning errors introduced in calculating the picture element (pixel) ratios using high-speed LUT (lookup table) hardware. Such hardware is common to the commercial digital image processors for use in calculating these ratios.In both static and dynamic determinations of ratio measurements, images of the cells under study are taken using epi-illumination at two or more wavelengths. After digitization, the pixel values of these image pairs are ratioed. Such image pairs frequently require on the order of 1 million bytes of data storage, and the calculation of their ratio using ordinary general-purpose computers is time consuming. This is a particularly severe problem when hundreds of such image pairs are generated during the course of an experiment. This paper analyzes in detail high-speed methods of pixel ratioing that may be implemented on a variety of commercially available image processors. These image processors are frequently used as an adjunct to the general purpose computer and operate as autonomous peripherals. They are capable of storing many megabytes of data in high-speed semiconductor memory and use video-rate arithmetic-logic units (ALU), which can operate on data stored in this memory at tens of millions of calculations per second. Use of image processors increases the power of the general-purpose c...