{"abstract":[{"lang":"eng","text":"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."}],"oa_version":"None","date_published":"2001-07-01T00:00:00Z","publist_id":"2123","type":"journal_article","publisher":"Elsevier","article_type":"original","issue":"2-3","page":"191 - 204","day":"01","intvolume":"        19","publication_identifier":{"issn":["0925-7721"]},"language":[{"iso":"eng"}],"date_created":"2018-12-11T12:06:22Z","title":"Shape space from deformation","article_processing_charge":"No","status":"public","acknowledgement":"National Science Foundation under grants CCR-96-19542 and CCR-97-12088, and by the Army Research Office under grant DAAG55-98-1-0177.","publication_status":"published","scopus_import":"1","extern":"1","volume":19,"citation":{"ieee":"H. Cheng, H. Edelsbrunner, and P. Fu, “Shape space from deformation,” <i>Computational Geometry: Theory and Applications</i>, vol. 19, no. 2–3. Elsevier, pp. 191–204, 2001.","short":"H. Cheng, H. Edelsbrunner, P. Fu, Computational Geometry: Theory and Applications 19 (2001) 191–204.","apa":"Cheng, H., Edelsbrunner, H., &#38; Fu, P. (2001). Shape space from deformation. <i>Computational Geometry: Theory and Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/S0925-7721(01)00021-9\">https://doi.org/10.1016/S0925-7721(01)00021-9</a>","chicago":"Cheng, Ho, Herbert Edelsbrunner, and Ping Fu. “Shape Space from Deformation.” <i>Computational Geometry: Theory and Applications</i>. Elsevier, 2001. <a href=\"https://doi.org/10.1016/S0925-7721(01)00021-9\">https://doi.org/10.1016/S0925-7721(01)00021-9</a>.","ama":"Cheng H, Edelsbrunner H, Fu P. Shape space from deformation. <i>Computational Geometry: Theory and Applications</i>. 2001;19(2-3):191-204. doi:<a href=\"https://doi.org/10.1016/S0925-7721(01)00021-9\">10.1016/S0925-7721(01)00021-9</a>","mla":"Cheng, Ho, et al. “Shape Space from Deformation.” <i>Computational Geometry: Theory and Applications</i>, vol. 19, no. 2–3, Elsevier, 2001, pp. 191–204, doi:<a href=\"https://doi.org/10.1016/S0925-7721(01)00021-9\">10.1016/S0925-7721(01)00021-9</a>.","ista":"Cheng H, Edelsbrunner H, Fu P. 2001. Shape space from deformation. Computational Geometry: Theory and Applications. 19(2–3), 191–204."},"publication":"Computational Geometry: Theory and Applications","month":"07","_id":"4001","year":"2001","doi":"10.1016/S0925-7721(01)00021-9","quality_controlled":"1","author":[{"first_name":"Ho","last_name":"Cheng","full_name":"Cheng, Ho"},{"full_name":"Edelsbrunner, Herbert","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner"},{"full_name":"Fu, Ping","first_name":"Ping","last_name":"Fu"}],"date_updated":"2023-05-10T12:57:14Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17"}