Feature based 2D shape transformation

The transformation or blending of one 2D shape into another usually operates on sets of discrete points approximating the objects. This relies on a series of evenly distributed or properly positioned points on the boundary of the objects. Characteristics of the objects are not well considered. This paper presents a technique for transforming or blending shapes represented as a series of curve segments. Transformation of the shapes is attained by establishing correspondence between pairs of features of the objects. Based on an estimation of the sharpness of a corner on the boundary of a 2D contour, vertices are generated on sharp corners of the shapes and hence dividing the boundary of the shapes into elements. Correspondence between the elements of the shape is then established before the correspondence between points on the elements is established. This allows special features of the shapes to be retained in the blending operation which is essential in product and industrial design.