{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,14]],"date-time":"2026-02-14T02:18:17Z","timestamp":1771035497878,"version":"3.50.1"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2017,3]]},"abstract":"<jats:p> Evaluation on curvature variation is a significant problem in the field of curve fairing, and traditional evaluation is generally performed by observing curvature plots qualitatively. By using the theory of B-spline wavelet, the concept of curvature variation factor (CVF) is put forth in this paper to describe curvature variation quantitatively. It is verified that the quantitative evaluation results by the CVF method agree well with the traditional qualitative judgments. Based on CVF, a new curve-fairing algorithm is further put forward, whose validness is verified by an example. The advantage of the CVF-based algorithm is that it can realize different fairing effect to meet different requirements under diverse circumstances only by adjusting the shape error. <\/jats:p>","DOI":"10.1142\/s0219691317500138","type":"journal-article","created":{"date-parts":[[2016,11,29]],"date-time":"2016-11-29T12:21:00Z","timestamp":1480422060000},"page":"1750013","source":"Crossref","is-referenced-by-count":3,"title":["Curvature variation factor and its application"],"prefix":"10.1142","volume":"15","author":[{"given":"Aizeng","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering &amp; Automation, Beihang University, Beijing 100191, P. R. China"},{"name":"State Key Laboratory of Virtual Reality Technology &amp; Systems, Beihang University, Beijing 100191, P. R. China"}]},{"given":"Gang","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mechanical Engineering &amp; Automation, Beihang University, Beijing 100191, P. R. China"},{"name":"State Key Laboratory of Virtual Reality Technology &amp; Systems, Beihang University, Beijing 100191, P. R. 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