In this paper, Hermite interpolation by bivariate algebraic polynomials of total degree n is considered. The interpolation parameters are the values of a function and its partial derivatives up to some order n & &1 at the nodes z & =(x & , y & ), &=1, ..., s, where n & is the multiplicity of z & . T
Modified hermite quintic curves and applications
โ Scribed by C.B. Millham; A.C. Meyer
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 539 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0010-4485
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โฆ Synopsis
The work described in the paper represents point files with curvature-tangency information by means of a modified Hermite quintic parametric curve. It is seen that the quintic curve can be developed using only some of the points and tangents in the interval, and passed through the remaining points in the manner described. The curve can then be tested for goodness of fit, and replaced with a 'shorter' sector if necessary. curves, fitting, Hermite curves, quintic curves, data points, representation
๐ SIMILAR VOLUMES
## Construction methods are presented that generate Hermite interpolation quaternion curves on SO(3). lLvo circular curves Cl(t) and C2(t), 0 5 t 5 1, are generated that interpolate two orientations ql and q 2 , and have boundary angular velocities: Cl(0) = w1 and Ci(1) = w2, respectively. They ar