PYTHAGOREAN-HODOGRAPH CUBICS AND GEOMETRIC HERMITE INTERPOLATION
نویسندگان
چکیده
منابع مشابه
G1 Hermite interpolation by Minkowski Pythagorean hodograph cubics
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...
متن کاملHermite interpolation by Pythagorean hodograph curves of degree seven
Polynomial Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial parametric curves; they are distinguished by having a polynomial arc length function and rational offsets (parallel curves). Many related references can be found in the article by Farouki and Neff on C1 Hermite interpolation with PH quintics. We extend the C1 Hermite interpolation scheme by taking additional c...
متن کاملC1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
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...
متن کاملC Hermite Interpolation by Pythagorean Hodograph Space Curves
We solve the problem of C2 Hermite interpolation by Pythagorean Hodograph (PH) space curves. More precisely, for any set of C2 space boundary data (two points with associated first and second derivatives) we construct a four–dimensional family of PH interpolants of degree 9 and introduce a geometrically invariant parameterization of this family. This parameterization is used to identify a parti...
متن کاملC2 Hermite interpolation by Pythagorean Hodograph space curves
We solve the problem of C2 Hermite interpolation by Pythagorean Hodograph (PH) space curves. More precisely, for any set of C2 space boundary data (two points with associated first and second derivatives) we construct a four–dimensional family of PH interpolants of degree 9 and introduce a geometrically invariant parameterization of this family. This parameterization is used to identify a parti...
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ژورنال
عنوان ژورنال: East Asian mathematical journal
سال: 2012
ISSN: 1226-6973
DOI: 10.7858/eamj.2012.28.1.013