TY - JOUR AB - The construction of shape spaces is studied from a mathematical and a computational viewpoint. A program is outlined reducing the problem to four tasks: the representation of geometry, the canonical deformation of geometry, the measuring of distance in shape space, and the selection of base shapes. The technical part of this paper focuses on the second task: the specification of a deformation mixing two or more shapes in continuously changing proportions. (C) 2001 Elsevier Science B.V All rights reserved. AU - Cheng, Ho AU - Edelsbrunner, Herbert AU - Fu, Ping ID - 4001 IS - 2-3 JF - Computational Geometry: Theory and Applications SN - 0925-7721 TI - Shape space from deformation VL - 19 ER -