Survey of Hermite interpolating polynomials for the solution of differential equations
A Kumari, VK Kukreja - Mathematics, 2023 - mdpi.com
With progress on both the theoretical and the computational fronts, the use of Hermite
interpolation for mathematical modeling has become an established tool in applied science …
interpolation for mathematical modeling has become an established tool in applied science …
Pythagorean-hodograph curves.
RT Farouki - Handbook of computer aided geometric design, 2002 - Springer
Pythagorean–hodograph curves are characterized by the special property that their
“parametric speed”—ie, the derivative of the arc length with respect to the curve parameter …
“parametric speed”—ie, the derivative of the arc length with respect to the curve parameter …
Cooperative trajectory generation using Pythagorean hodograph Bézier curves
This paper presents a cooperative trajectory-generation framework to efficiently compute a
set of spatial trajectories for a team of cooperating vehicles: in particular, for unmanned …
set of spatial trajectories for a team of cooperating vehicles: in particular, for unmanned …
Construction of G1 planar Hermite interpolants with prescribed arc lengths
RT Farouki - Computer Aided Geometric Design, 2016 - Elsevier
The problem of constructing a plane polynomial curve with given end points and end
tangents, and a specified arc length, is addressed. The solution employs planar quintic …
tangents, and a specified arc length, is addressed. The solution employs planar quintic …
[图书][B] Lighter than air robots: guidance and control of autonomous airships
YB Sebbane - 2011 - books.google.com
An aerial robot is a system capable of sustained flight with no direct human control and able
to perform a specific task. A lighter than air robot is an aerial robot that relies on the static lift …
to perform a specific task. A lighter than air robot is an aerial robot that relies on the static lift …
Rational Pythagorean-hodograph space curves
RT Farouki, Z Šír - Computer Aided Geometric Design, 2011 - Elsevier
A method for constructing rational Pythagorean-hodograph (PH) curves in R3 is proposed,
based on prescribing a field of rational unit tangent vectors. This tangent field, together with …
based on prescribing a field of rational unit tangent vectors. This tangent field, together with …
New developments in theory, algorithms, and applications for Pythagorean–hodograph curves
The past decade has witnessed sustained interest in elucidating the basic theory of
Pythagorean–hodograph (PH) curves, developing construction algorithms, formulating …
Pythagorean–hodograph (PH) curves, developing construction algorithms, formulating …
[HTML][HTML] Existence of Pythagorean-hodograph quintic interpolants to spatial G1 Hermite data with prescribed arc lengths
RT Farouki - Journal of Symbolic Computation, 2019 - Elsevier
A unique feature of polynomial Pythagorean–hodograph (PH) curves is the ability to
interpolate G 1 Hermite data (end points and tangents) with a specified total arc length …
interpolate G 1 Hermite data (end points and tangents) with a specified total arc length …
An analytical tool path smoothing algorithm for robotic machining with the consideration of redundant kinematics
In the machining of complex parts with free-formed surfaces, robots are widely employed
due to their advantages of a large operating space and high flexibility. The industrial robot …
due to their advantages of a large operating space and high flexibility. The industrial robot …
Identification and “reverse engineering” of Pythagorean-hodograph curves
Methods are developed to identify whether or not a given polynomial curve, specified by
Bézier control points, is a Pythagorean-hodograph (PH) curve—and, if so, to reconstruct the …
Bézier control points, is a Pythagorean-hodograph (PH) curve—and, if so, to reconstruct the …