Endpoint hermit interpolation with cubic ball PH curves
نویسندگان
چکیده
The Pythagorean hodograph (PH) curves are polynomial parametric curves whose hodograph (derivative) components satisfy the Pythagorean condition. Lots of research works had been done with PH curves relevant topics due that PH curves own many remarkable properties, e.g., its offset curves have exact rational representations. In this paper, ball curves with rational polynomial offset are studied. Specific for cubic ball curve, the PH condition is derived by using complex analysis in representing parametric curves. For given C0 endpoint interpolation, explicit cubic ball PH curve construction is given. The obtained ball-PH curve can be directly applied in the area of industry product design and milling machines. KeywordsPythagorean hodograph; cubic ball curve; endpoint hermit interpolation
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تاریخ انتشار 2012