{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,23]],"date-time":"2026-07-23T05:38:42Z","timestamp":1784785122511,"version":"3.55.0"},"reference-count":28,"publisher":"ASME International","issue":"6","license":[{"start":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T00:00:00Z","timestamp":1652140800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.asme.org\/publications-submissions\/publishing-information\/legal-policies"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51375154"],"award-info":[{"award-number":["51375154"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2022,12,1]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Aiming at the problem of smoothness of the B-spline curve interpolation, an improved parameterized interpolation method based on modified chord length is proposed. We construct a series of interpolation arcs using the relationship between the chord length and chord angle of given data points and then calculate the global knot parameters by replacing the chord length with the arc length. In addition, we propose curve smoothness index based on the relationship between the radius of curvature and the cumulative curve length and compare it with other classical methods to construct cubic B-spline curves in the tests; at the same time, the deviation error is used to evaluate the swing of the curve. Furthermore, two sets of point cloud data are used to test the surface interpolation for different parameterization methods, and the Gauss curvature map is used to evaluate the smoothness of interpolated surfaces. As a result, the proposed method performs better than other methods; the constructed curves and surfaces maintain a good performance.<\/jats:p>","DOI":"10.1115\/1.4054089","type":"journal-article","created":{"date-parts":[[2022,3,15]],"date-time":"2022-03-15T08:35:17Z","timestamp":1647333317000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":8,"title":["An Improved Parameterized Interpolation Method Based on Modified Chord Length"],"prefix":"10.1115","volume":"22","author":[{"given":"Hanwen","family":"Xu","sequence":"first","affiliation":[{"name":"Key Laboratory of Advanced Design and Simulation Technology for Special Equipment Ministry of Education, Hunan University, Changsha 410082, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gongwei","family":"Zhao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Advanced Design and Simulation Technology for Special Equipment Ministry of Education, Hunan University, Changsha 410082, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yating","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Advanced Design and Simulation Technology for Special Equipment Ministry of Education, Hunan University, Changsha 410082, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nanhai","family":"Ye","sequence":"additional","affiliation":[{"name":"Key Laboratory of Advanced Design and Simulation Technology for Special Equipment Ministry of Education, Hunan University, Changsha 410082, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"33","published-online":{"date-parts":[[2022,5,10]]},"reference":[{"issue":"SMI 2016","key":"2022051017083921200_CIT0001","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1016\/j.cag.2016.05.010","article-title":"B-Spline Surface Fitting With Knot Position Optimization","volume":"58","author":"Zhang","year":"2016","journal-title":"Comput. Graph."},{"issue":"1","key":"2022051017083921200_CIT0002","doi-asserted-by":"publisher","first-page":"18","DOI":"10.9735\/0975-2927.3.1.18-24","article-title":"Quadratic NUAT B-Spline Curves With Multiple Sharp Parameters","volume":"3","author":"Dube","year":"2011","journal-title":"Int. J. Mach. Intell."},{"issue":"5","key":"2022051017083921200_CIT0003","doi-asserted-by":"publisher","first-page":"447","DOI":"10.1016\/S0167-8396(00)00016-9","article-title":"Stability of the B-Spline Basis Via Knot Insertion","volume":"17","author":"H\u00f6llig","year":"2000","journal-title":"Comput. Aided Geom. Des."},{"issue":"4","key":"2022051017083921200_CIT0004","doi-asserted-by":"publisher","first-page":"041013","DOI":"10.1115\/1.4040981","article-title":"An Adaptive Curvature-Guided Approach for the Knot-Placement Problem in Fitted Splines","volume":"18","author":"Aguilar","year":"2018","journal-title":"ASME J. Comput. Inf. Sci. Eng."},{"issue":"12","key":"2022051017083921200_CIT0005","doi-asserted-by":"publisher","first-page":"1811","DOI":"10.1007\/s12541-018-0209-6","article-title":"Dual NURBS Path Smoothing for 5-Axis Linear Path of Flank Milling","volume":"19","author":"Li","year":"2018","journal-title":"Int. J. Precis. Eng. Manuf."},{"issue":"7","key":"2022051017083921200_CIT0006","doi-asserted-by":"publisher","first-page":"669","DOI":"10.1080\/0951192X.2019.1599442","article-title":"Reconstruction of a CAD Model From the Deformed Mesh Using B-Spline Surfaces","volume":"32","author":"Makhlouf","year":"2019","journal-title":"Int. J. Comput. Integr. Manuf."},{"key":"2022051017083921200_CIT0007","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00366-020-01278-3","article-title":"A Cubic B-Spline Quasi-Interpolation Algorithm to Capture the Pattern Formation of Coupled Reaction-Diffusion Models","author":"Mittal","year":"2021","journal-title":"Eng. Comput."},{"issue":"1","key":"2022051017083921200_CIT0008","doi-asserted-by":"publisher","first-page":"011001","DOI":"10.1115\/1.4028632","article-title":"Filling N-Sided Holes With Trimmed B-Spline Surfaces Based on Energy-Minimization Method","volume":"15","author":"Liu","year":"2015","journal-title":"ASME J. Comput. Inf. Sci. Eng."},{"issue":"2","key":"2022051017083921200_CIT0009","doi-asserted-by":"publisher","first-page":"021008","DOI":"10.1115\/1.4006000","article-title":"Sequential B-Spline Surface Construction Using Multiresolution Data Clouds","volume":"12","author":"Yuan","year":"2012","journal-title":"ASME J. Comput. Inf. Sci. Eng."},{"issue":"1","key":"2022051017083921200_CIT0010","doi-asserted-by":"publisher","first-page":"21","DOI":"10.23884\/ejt.2017.7.1.03","article-title":"Comparison of Parameterization Methods Used for B-Spline Curve Interpolation","volume":"7","author":"Ozturk","year":"2017","journal-title":"Eur. J. Technol."},{"issue":"13","key":"2022051017083921200_CIT0011","doi-asserted-by":"publisher","first-page":"967","DOI":"10.1016\/S0010-4485(00)00133-0","article-title":"Choosing Nodes and Knots in Closed B-Spline Curve Interpolation to Point Data","volume":"33","author":"Park","year":"2001","journal-title":"Comput. Aided Des."},{"issue":"5","key":"2022051017083921200_CIT0012","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1016\/S0167-8396(99)00010-2","article-title":"A Universal Parametrization in B-Spline Curve and Surface Interpolation","volume":"16","author":"Lim","year":"1999","journal-title":"Comput. Aided Geom. Des."},{"issue":"6","key":"2022051017083921200_CIT0013","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1016\/S0167-8396(02)00132-2","article-title":"Universal Parametrization in Constructing Smoothly-Connected B-Spline Surfaces","volume":"19","author":"Lim","year":"2002","journal-title":"Comput. Aided Geom. Des."},{"key":"2022051017083921200_CIT0014","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1155\/2012\/640472","article-title":"Parameterization Method on B-Spline Curve","volume":"2012","author":"Haron","year":"2012","journal-title":"Math. Probl. Eng."},{"issue":"6","key":"2022051017083921200_CIT0015","doi-asserted-by":"publisher","first-page":"1005","DOI":"10.1016\/j.cad.2013.01.005","article-title":"An Improved Parameterization Method for B-Spline Curve and Surface Interpolation","volume":"45","author":"Fang","year":"2013","journal-title":"Comput. Aided Des."},{"issue":"4","key":"2022051017083921200_CIT0016","doi-asserted-by":"publisher","first-page":"853","DOI":"10.1016\/j.cad.2011.08.004","article-title":"Local Computation of Curve Interpolation Knots With Quadratic Precision","volume":"45","author":"Zhang","year":"2013","journal-title":"Comput. Aided Des."},{"issue":"1","key":"2022051017083921200_CIT0017","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2014\/706247","article-title":"Hierarchical Genetic Algorithm for B-Spline Surface Approximation of Smooth Explicit Data","volume":"2014","author":"Capulin","year":"2014","journal-title":"Math. Probl. Eng."},{"issue":"2","key":"2022051017083921200_CIT0018","first-page":"30","article-title":"A Parameterization Method From Conic Spline Interpolation","volume":"24","author":"Long","year":"2014","journal-title":"Comput. Aided Draw. Des. Man."},{"key":"2022051017083921200_CIT0019","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.cad.2016.08.001","article-title":"Efficient Shape Parameterization Method for Multidisciplinary Global Optimization and Application to Integrated Ship Hull Shape Optimization Workflow","volume":"80","author":"Ivo","year":"2016","journal-title":"Comput. Aided Des."},{"key":"2022051017083921200_CIT0020","first-page":"272","article-title":"A Balanced Surface Parameterization Method and Its Application to Spline Fitting","author":"Zheng","year":"2016"},{"issue":"11","key":"2022051017083921200_CIT0021","doi-asserted-by":"publisher","first-page":"1939","DOI":"10.1007\/s12541-019-00210-0","article-title":"An Improved B-Spline Fitting Method With Arc-Length Parameterization, G2-Continuous Blending, and Quality Refinement","volume":"20","author":"Min","year":"2019","journal-title":"Int. J. Precis. Eng. Manuf."},{"key":"2022051017083921200_CIT0022","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1109\/ACCESS.2019.2961412","article-title":"Dynamic Centripetal Parameterization Method for B-Spline Curve Interpolation","volume":"8","author":"Balta","year":"2020","journal-title":"IEEE Access"},{"issue":"1","key":"2022051017083921200_CIT0023","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/0021-9045(72)90080-9","article-title":"On Calculating With B-Splines","volume":"6","author":"de Boor","year":"1972","journal-title":"J. Approx. Theory"},{"key":"2022051017083921200_CIT0024","volume-title":"Computer Aided Geometric Design and Nonuniform Rational B Spline","author":"Shi","year":"2013"},{"issue":"1","key":"2022051017083921200_CIT0025","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cagd.2017.05.001","article-title":"Cubic Spline Approximation of a Circle With Maximal Smoothness and Accuracy","volume":"56","author":"Apprich","year":"2017","journal-title":"Comput. Aided Geom. Des."},{"issue":"4","key":"2022051017083921200_CIT0026","doi-asserted-by":"publisher","first-page":"382","DOI":"10.1080\/01490419.2018.1465499","article-title":"Depth Contour Smoothing Based on the Fitting of Multi-Segment Bezier Curves","volume":"41","author":"Li","year":"2018","journal-title":"Mar. Geod."},{"key":"2022051017083921200_CIT0027","first-page":"893","article-title":"Implicit B-Spline Fitting Using the 3L Algorithm","author":"Rouhani","year":"2011"},{"issue":"6","key":"2022051017083921200_CIT0028","doi-asserted-by":"publisher","first-page":"639","DOI":"10.1016\/j.cad.2011.02.012","article-title":"A New Mesh-Growing Algorithm for Fast Surface Reconstruction","volume":"43","author":"Di Angelo","year":"2011","journal-title":"Comput. Aided Des."}],"container-title":["Journal of Computing and Information Science in Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/22\/6\/061001\/6878255\/jcise_22_6_061001.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/22\/6\/061001\/6878255\/jcise_22_6_061001.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,10]],"date-time":"2022-05-10T17:08:54Z","timestamp":1652202534000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article\/22\/6\/061001\/1139462\/An-Improved-Parameterized-Interpolation-Method"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5,10]]},"references-count":28,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2022,12,1]]}},"URL":"https:\/\/doi.org\/10.1115\/1.4054089","relation":{},"ISSN":["1530-9827","1944-7078"],"issn-type":[{"value":"1530-9827","type":"print"},{"value":"1944-7078","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,5,10]]},"article-number":"061001"}}