1. An image processing device composed such that it displays a prescribed object whilst changing the shape thereof, comprising: a first memory for recording information for first polygons which form a portion of said object; a second memory for recording information for second polygons, which form a further portion of said object and are linked to said first polygons; and processing means for changing the shapes of said second polygons in accordance with movement of said first polygons on the basis of the first polygon information recorded in said first memory and the second polygon information recorded in said second memory, when the shape of said object is changed, such that no gaps are produced between said first polygons and said second polygons.