1. A digital camera having a burst image capture mode, comprising: an image sensor for capturing a digital image; an optical system for forming an image of a scene onto the image sensor; a data processing system; an image memory for storing captured digital images; and a program memory communicatively connected to the data processing system and storing instructions configured to cause the data processing system to implement a method for capturing a sequence of digital images in the burst image capture mode, wherein the instructions include: capturing a sequence of digital images of the scene using the image sensor, each digital image being captured at a different time; identifying a moving object in the captured digital images; automatically determining the position of the moving object in each of the captured digital images; automatically selecting a subset of the captured digital images where the moving object has positions that most nearly correspond to a set of desirable positions; and storing the selected subset of captured digital images in the image memory.