Visually assessed nuclear grade has been found to be prognostically important. Now, computerbased analytical techniques accurately measure size, shape, and texture features that constitute nuclear grade. The cell samples used in this study were obtained by fine needle aspiration (FNA) in the process of diagnosing a consecutive series of 187 patients with invasive breast cancer. Regions of FNA preparations to be analyzed were converted by a video camera to computer files that were displayed on a computer monitor. Nuclei to be analyzed were identified on the computer monitor and were roughly outlined by an operator using a mouse. Next, the computer generated a "snake" that precisely enclosed each designated nucleus. Ten nuclear features are then calculated for each nucleus based on these snakes. These results were analyzed statistically and by an inductive machine learning technique that we call Recurrence Surface Approximation (RSA). Both the statistical and the RSA machine learning analyses demonstrate that computerderived nuclear features are prognostically more important than are the classical prognostic features, tumor size and lymph node status. The methods described in this paper provide the basis for using computerized systems to determine prognosis from computer-generated nuclear features.