1. A picture processing apparatus comprising: a face area detecting unit that detects face areas each of which is an image area presumed to be a person's face, from frames constituting elements of a picture; a face attribute assigning unit that assigns a mutually same face attribute value to each of the face areas, when groups of coordinates of the face areas between the successive frames are within a predetermined error range; a feature amount calculating unit that calculates a feature amount of each of the frames; a cut detecting unit that detects a cut point at which a screen image is switched to another screen image between the temporally successive frames, by using the feature amounts; a similar shot detecting unit that detects shots from which the frames have respectively been extracted as similar shots to each of which a mutually same shot attribute value is assigned, when a difference in the feature amounts between the frames is within a predetermined error range, the shots each being an aggregate of the frames within a time period obtained as a result of dividing at the cut point; and a face attribute re-assigning unit that assigns a mutually same face attribute value to each of the face areas, when the face areas that respectively appear in the frames contained in the similar shots and to which mutually different face attribute values have respectively been assigned are judged to be a face of a mutually same person.