C1 comonotone Hermite interpolation via parametric cubics
نویسندگان
چکیده
منابع مشابه
Constrained 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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In this paper, we study the C1 Hermite interpolation problem using Minkowski Pythagorean Hodograph (MPH) quartics in R2,1. As a preliminary step, we characterize MPH curves in R2,1 by the roots of the hodographs of their complexified spine curves. We present two schemes for this interpolation problem: one is a subdivision scheme using direct C1 interpolation and the other is a two step scheme u...
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As observed by Choi et al. (1999), curves in Minkowski space R2,1 are very well suited to describe the medial axis transform (MAT) of a planar domain, and Minkowski Pythagorean hodograph (MPH) curves correspond to domains, where both the boundaries and their offsets are rational curves (Moon, 1999). Based on these earlier results, we give a thorough discussion of G1 Hermite interpolation by MPH...
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In this paper the C Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such interpolants is described. Each PH cubic segment interpolates C data at one point and they are then joined together with a C continuity at some unknown common point sharing some unknown tangent vector. Biarcs are expressed in a closed form with t...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1996
ISSN: 0377-0427
DOI: 10.1016/0377-0427(94)00026-3