A computational geometry technique is utilized to detect, diagnose, and/or mitigate fault detection during the execution of a software application. Runtime measurements are collected and processed to generate a geometric enclosure that represents the normal, non-failing, operating space of the application being monitored. When collected runtime measurements are classified as being inside or on the perimeter of the geometric enclosure, the application is considered to be in a normal, non-failing, state. When collected runtime measurements are classified as being outside of the geometric enclosure, the application is considered to be in an anomalous, failing, state. In an example embodiment, the geometric enclosure is a convex hull generated in N-dimensional Euclidean space. Appropriate action (e.g., restart the software, turn off access to a network port) can be taken depending on where the measurement values lie in the space.