1. A process for detecting obstacles in a vehicle apron of a vehicle equipped with a longitudinal guidance driver assistance system having a stop-and-go function, wherein information is detectable concerning a vehicle driving ahead by a detection device of the driver assistance system, and wherein the vehicle is automatically brakable to a standing position as a function of the information detected by the detection device, the process comprising the acts of: beginning at least from a point-in-time wherein the vehicle is stopped, supplying a sequence of individual images of a monitored vehicle apron area by way of a camera; for detecting obstacles in the vehicle apron area, extracting characteristic image features from the sequence of individual images and tracking the extracted characteristic image features over time within the sequence of individual images; at least one of: (1) determining and evaluating characteristic image features appearing and/or disappearing in the course of the sequence of individual images to provide obstacle recognition; and (2) determining and evaluating a spatial distribution change of one or more characteristic image features occurring in the course of the sequence in one of a respective individual image and a cutout of the respective individual image.