A class of quintic Hermite interpolation curve and the free parameters selection
نویسندگان
چکیده
منابع مشابه
Nonnegativity-, Monotonicity-, or Convexity-Preserving Cubic and Quintic Hermite Interpolation*
The Hermite polynomials are simple, effective interpolants of discrete data. These interpolants can preserve local positivity, monotonicity, and convexity of the data if we restrict their derivatives to satisfy constraints at the data points. This paper describes the conditions that must be satisfied for cubic and quintic Hermite interpolants to preserve these properties when they exist in the ...
متن کاملTopological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants
A topological approach to identifying the “good” interpolant among the four distinct solutions to the first–order Hermite interpolation problem for planar quintic Pythagorean–hodograph curves is presented. An existence theorem is proved, together with a complete analysis of uniqueness/non– uniqueness properties. A simple formula for finding the “good” solution, without appealing to curve fairne...
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چکیده ندارد.
Topological Approach to the Hermite Interpolation Problem for Quintic Pythagorean Hodograph Curves∗†
A topological approach of determining the best one out of four solutions of the Hermitian interpolation problem for quintic Pythagorean hodograph curves is presented. An existence theorem is proved together with complete analysis of uniqueness/nonuniqueness properties. A simple formula of obtaining the best solution without using any curve fairing or curvature integral is also presented.
متن کاملConstrained Interpolation via Cubic Hermite Splines
Introduction In industrial designing and manufacturing, it is often required to generate a smooth function approximating a given set of data which preserves certain shape properties of the data such as positivity, monotonicity, or convexity, that is, a smooth shape preserving approximation. It is assumed here that the data is sufficiently accurate to warrant interpolation, rather than least ...
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ژورنال
عنوان ژورنال: Journal of Advanced Mechanical Design, Systems, and Manufacturing
سال: 2019
ISSN: 1881-3054
DOI: 10.1299/jamdsm.2019jamdsm0011