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: capture a sequence of digital images of the scene using the image sensor, each digital image in the sequence of captured digital images being captured at a different time; identify a moving object in the sequence of captured digital images; determine, automatically, a position of the moving object in each of the sequence of captured digital images; select, automatically, a subset of digital images from the sequence of captured digital images wherein the moving object has positions that most nearly correspond to a set of desirable positions by causing the data processing system to: determine a range of positions for the moving object in the sequence of captured digital images; determine a desired spacing between the positions of the moving object responsive to the determined range of positions and a specified number of digital images to be included in the subset of digital images; determine a set of desirable positions for the moving object responsive to the desired spacing; and identify the subset of digital images wherein the positions of the moving object most nearly correspond to the set of desirable positions; and store the selected subset of digital images in the image memory.