1. An image capturing apparatus comprising: an image capturing section that takes an image; an object extracting section that extracts an object included in the image taken by said image capturing section; a characteristic amount computing section that computes an amount of characteristic of the object extracted from said object extracting section based on the image with the object extracted from said object extracting section; a characteristic amount storing section that stores the amount of characteristic of the object computed from said characteristic amount computing section in association with object identification information identifying the object; an object identification information storing section that stores the object identification information identifying the object included in the image in association with the image taken by said image capturing section; an object identification information selecting section that selects one object identification information from a plurality of object identification information stored on said object identification information storing section based on instruction input from a user; an image extracting section that extracts at least one image stored on said object identification information storing section in association with the object identification information selected by said object identification information selecting section; and a display section that displays at least one image extracted from said image extracting section; wherein the image capturing apparatus further comprises: a characteristic amount comparing section that compares an amount of characteristic of an object included in an image taken by said image capturing section and the amount of characteristic of the object stored on said characteristic amount storing section to compute a degree of coincidence of the objects; and a coincidence judging section that judges whether the degree of coincidence of objects computed from said characteristic amount comparing section is not less than a predetermined reference value, said object identification information storing section stores the object identification information stored on said characteristic amount storing section in association with the image taken by said image capturing section when said coincidence judging section judges that the degree of coincidence of the object computed from said characteristic amount comparing section is not less than the predetermined reference value, wherein when the image capturing section takes a new image, the coincidence judging section does not compute a degree of coincidence, and the characteristic amount storing section assigns temporary object identification information to the object extracted from the object extracting section and stores an amount of characteristic in association with the temporary object identification information.