Abstract
This paper introduces new local minimum properties into the C2 interpolating curve, each span of which is determined by 6 or 8 neighboring given points. The marriage between the fairness based on variation problem and the local behavior obtained by degree-elevation or knot-insertion, the opposite-like concepts, of the curve is studied by various minimization conditions independent and dependent of the given set of interpolation points. The results are: (1) Every condition studied improves improper behavior in the previous curve. (2) One of the conditions may generate a curve with smaller value of "energy integral" and curvature plot consisting of fewer monotone pieces than the conventional cubic C2 interpolating curve. (3) Applying a minimization condition to the blending function leads to a new curve in simple yet fairly effective way.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of the Japan Society for Precision Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
