Minimizing the Computation Time for Using the Technique of Sectioning for Digital Filtering of Pictures

This note considers the problem of minimizing the computation time required for digital filtering of pictures by the technique of sectioning. Direct enumeration on a computer was used to tabulate the optimum section size, and tables of the optimum section sizes are presented. The tables are compared with previously tabulated optimum sections for one-dimensional filtering; the optimal two-dimensional section sizes have linear dimensions twice as great as the optimal one-dimensional sections. To explain this discrepancy, analytical models are developed for the optimum one-and two-dimensional sections. The analytical models verify the tabulated data on optimum section size, and demonstrate why optimal two-dimensional sections are greater in size than corresponding one-dimensional sections.