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In this paper the relationship of the optical transverse measurement of fiber-yarn density profiles is discussed to determine an approximate radial packing fraction function. In a future paper it is planned to deal with the problem of providing an approximate description of the smaller asymmetric variations of the packing fraction which have been observed along the yarn axis. Furthermore this paper reports on an optical method for making sequential real time measurements on cotton yarns which can determine their approximate fiber distribution (expressed by a packing fraction function). The yarns examined have included commercially produced ring spun 18/1, 30/1 and 40/1 yarns. The hairiness, surface twist and other characteristics of the yarns may be viewed in microscopic photographs. The equipment assembled to collect yarn density profile data consists of a color line scan camera (resolution of 2048 pixels in its one inch field of view), a computer system (400 MHz, CPU, 512 Mb RAM with 36 Gb RAID disk storage), and a laser ( 20 ma red - 633 nm, supplying approx. 0,8 mm constant intensity beam width). Applying Lambert's of Absorption it is assumed that the natural logarithm of the ratio of beam intensities divided by the thickness of the material provides a function proportional to the average transverse density across a thin cross section of the fiber-yarn.