Conv. Dx. Math. Dx. NS NF CF CF-NF Normal Normal 345 43 541 498 Normal Normal 367 44 402 358 ASCUS Normal 721 53 239 186 Normal Normal 309 38 434 396 Normal Normal 625 52 311 259 L SIL L SIL 2309 106 506 400 L SIL L SIL 3361 122 346 224 L SIL L SIL 1512 85 231 146 L SIL L SIL 4502 144 382 238 ASCUS L SIL 2949 137 284 147 H SIL H SIL 2224 86 197 111 H SIL H SIL 546 51 97 46 H SIL H SIL 1907 91 180 89 H SIL H SIL 2045 113 158 45 H SIL H SIL 1212 72 149 77 Comparing the conventional diagnosis with the mathematical diagnosis it is observed that the latter correctly diagnose normal, LSIL and HSIL cells, and further provides a quantitative diagnostic for ASCUS cells. There were included 2 ASCUS, in order to show how these cells can show a normal or an L-SIL behavior

Table 2: Measurements of 20 of the studied cells. The surface is expressed in pixels, and the frontier in number of squares in the grill of 2 pixels. Dx. Conventional diagnosis. NF: Nucleus Frontier. NS: Nucleus surface. CF: Citoplasm Frontier. C-N: Subtraction of Cytoplasm-Nucleus frontiers.