A Different Approach to Generating the Fibrogram from Fiber-length-array Data. Part I: Theory

Two theories of generating the fibrogram from fiber-length-array data are presented. The first calculates a fiber-length distribution by number, which is integrated twice from the longest to the shortest length to obtain the fibrogram. The second method assumes a random catching and holding of fibers within each of the length groups, thereby generating a triangular distribution by relative weight or a fibrogram for each length group. These triangular distributions are summed by using the principle of superposition to generate the fibrogram of the total sample.