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The asymptotical convergence property of the proposed procedure is proved under the framework of sieves method. Using numerical case studies, the effectiveness of the method under finite sample is tested and demonstrated.<\/jats:p>","DOI":"10.1115\/1.4006000","type":"journal-article","created":{"date-parts":[[2012,5,14]],"date-time":"2012-05-14T22:17:14Z","timestamp":1337033834000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":2,"title":["Sequential B-Spline Surface Construction Using Multiresolution Data Clouds"],"prefix":"10.1115","volume":"12","author":[{"given":"Yuan","family":"Yuan","sequence":"first","affiliation":[{"name":"Department of Industrial and Systems Engineering, The University of Wisconsin, Madison, Wisconsin, 53706"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shiyu","family":"Zhou","sequence":"additional","affiliation":[{"name":"Department of Industrial and Systems Engineering, The University of Wisconsin, Madison, Wisconsin, 53706"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"33","published-online":{"date-parts":[[2012,5,14]]},"reference":[{"volume-title":"The Nurbs Book","author":"Tiller","key":"2019100512423012300_c1"},{"volume-title":"A Practical Guide to Spline","author":"De Boor","key":"2019100512423012300_c2","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-6333-3"},{"issue":"27","key":"2019100512423012300_c3","doi-asserted-by":"publisher","first-page":"663","DOI":"10.1016\/0010-4485(94)00018-9","article-title":"Parameterization of Randomly Measured Points for Least Square Fitting of B-Spline Curves and Surfaces","volume":"9","author":"Ma","journal-title":"Comput.-Aided Des."},{"issue":"12","key":"2019100512423012300_c4","doi-asserted-by":"publisher","first-page":"918","DOI":"10.1007\/BF01179082","article-title":"NURBS Curve and Surface Fitting for Reverse Engineering","volume":"14","author":"Ma","journal-title":"Int. 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