The proliferation of internet connected devices, sensors and big data is changing the way public safety is being studied. Traditionally, statistical methods are used to extrapolate information from data in which public safety decisions based upon. The current state of interconnected systems and devices such as internet of thing (IoT), generate a continuous deluge of data are unable to be accommodated traditional means processing and mining. This paper surveys public safety topics in the context of digital systems and algorithms. Furthermore, we propose Computational Public Safety as the study of digital systems and algorithms that promote the welfare and protection of the general public.