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• W1834972938 abstract "The present paper attempts to show an alternative approach with regards to rational Pythagorean-hodograph (PH) curves and especially more natural approach for rational PH helices (i.e. rational helices). It exploits geometric features of rational helices to obtain a simpler construction of these curves and apply this to related subjects. One of these applications is Geometric C1 Hermite interpolation (i.e. interpolation of end points with associated unit tangents) by rational helices. Furthermore, we investigate the existence of rational rotation minimizing frames (RRMFs) on rational helices. A rational approximation procedure to rotation minimizing frames (RMFs) is suggested. Subsequently, we deploy the approximate frame for modeling a rational sweep surface. The resulting algorithms are illustrated by several examples." @default.
• W1834972938 created "2016-06-24" @default.
• W1834972938 creator A5065108457 @default.
• W1834972938 date "2013-06-16" @default.
• W1834972938 modified "2023-09-26" @default.
• W1834972938 title "Geometry of rational helices and its applications" @default.
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• W1834972938 hasPublicationYear "2013" @default.
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