{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,6]],"date-time":"2025-06-06T07:28:54Z","timestamp":1749194934876},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Image Grap."],"published-print":{"date-parts":[[2006,7]]},"abstract":"<jats:p> Reconstruction of freeform surfaces from scattered coordinate data is a difficult problem encountered in many surface fitting and geometric modeling applications. Conventional tessellation and parametric surface fitting techniques are limited because they require prior knowledge about the connectivity between the sampled points. The method of surface reconstruction described in this paper exploits the learning capability of a self-organizing feature map (SOFM) to adaptively fit a deformable sphere to the unorganized 3D coordinate data. The learning algorithm automatically establishes the connectivity between the measured points by iteratively changing the topological relationships within the map. By incorporating additional constraints during the learning process it is possible to have the deformable map follow the shape of objects with surface holes and cavities. Several examples of freeform surfaces with varying levels of complexity are discussed in order to demonstrate the performance of the algorithm. <\/jats:p>","DOI":"10.1142\/s0219467806002343","type":"journal-article","created":{"date-parts":[[2006,8,1]],"date-time":"2006-08-01T13:00:26Z","timestamp":1154437226000},"page":"341-356","source":"Crossref","is-referenced-by-count":5,"title":["FREEFORM SURFACE RECONSTRUCTION FROM SCATTERED POINTS USING A DEFORMABLE SPHERICAL MAP"],"prefix":"10.1142","volume":"06","author":[{"given":"GEORGE K.","family":"KNOPF","sequence":"first","affiliation":[{"name":"Department of Mechanical &amp; Materials Engineering, Faculty of Engineering, The University of Western Ontario, London, Ontario, N6A 5B9, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ARCHANA P.","family":"SANGOLE","sequence":"additional","affiliation":[{"name":"CRIR-Rehabilitation Institute of Montreal, 6300 Ave Darlington, Montreal, Quebec, H3S 2J4, Canada"},{"name":"School of Physical &amp; Occupational Therapy, McGill University, 3654 Promenade Sir-William-Osler, Montreal, Quebec, H3G IY5, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Computer Graphics","author":"Hill F. S.","year":"1990"},{"key":"rf2","volume-title":"Fundamentals of Computer Aided Geometric Design","author":"Hoschek J.","year":"1993"},{"key":"rf3","volume-title":"Mathematical Elements for Computer Graphics","author":"Rogers D. F.","year":"1990"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0010-4485(94)00018-9"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/2945.910817"},{"key":"rf13","volume-title":"Neural Networks: A Comprehensive Foundation","author":"Haykin S.","year":"1994"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-97966-8"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1109\/49.62823"}],"container-title":["International Journal of Image and Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219467806002343","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T10:26:32Z","timestamp":1565173592000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219467806002343"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,7]]},"references-count":8,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,7]]}},"alternative-id":["10.1142\/S0219467806002343"],"URL":"https:\/\/doi.org\/10.1142\/s0219467806002343","relation":{},"ISSN":["0219-4678","1793-6756"],"issn-type":[{"value":"0219-4678","type":"print"},{"value":"1793-6756","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,7]]}}}