In mathematics, a tree of primitive Pythagorean triples is a data tree in which each node branches to three subsequent nodes with the infinite set ofâ€¦Â (More)

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2012

2012

- Rida T. Farouki, Carlotta Giannelli, Carla Manni, Alessandra Sestini
- Math. Comput.
- 2012

The construction of space curves with rational rotationminimizing frames (RRMF curves) by the interpolation of G1 Hermite data, iâ€¦Â (More)

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2010

2010

- HODOGRAPH QUINTICS, Rida T. Farouki, C. Andrew Neff
- 2010

The Pythagorean hodograph (PH) curves are polynomial parametric curves {x(t), y(t)} whose hodograph (derivative) componentsâ€¦Â (More)

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2010

2010

- M. A. Shah, N. Aouf
- 2010 IEEE 9th International Conference onâ€¦
- 2010

This paper deals with 3D cooperative path planning of Unmanned Aerial Vehicles (UAVs) in a static environment with knownâ€¦Â (More)

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2010

2010

- Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito Vitrih, Emil Zagar
- Math. Comput.
- 2010

In this paper, the geometric interpolation of planar data points and boundary tangent directions by a cubic G2 Pythagoreanâ€¦Â (More)

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2006

2006

- Zbynek SÃr, Robert Feichtinger, Bert JÃ¼ttler
- Computer-Aided Design
- 2006

This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based onâ€¦Â (More)

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2006

2006

- Martin Aigner, Zbynek SÃr, Bert JÃ¼ttler
- GMP
- 2006

The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. Inâ€¦Â (More)

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Highly Cited

2002

Highly Cited

2002

- Hyeong In Choi, Doo Seok Lee, Hwan Pyo Moon
- Adv. Comput. Math.
- 2002

The Pythagorean hodograph (PH) curves are characterized by certain Pythagorean n-tuple identities in the polynomial ringâ€¦Â (More)

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2001

2001

- Bert JÃ¼ttler
- Math. Comput.
- 2001

Polynomial Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial parametric curves; they are distinguishedâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- Martin Peternell, Helmut Pottmann
- J. Symb. Comput.
- 1997

Current CAD systems can represent curves and surfaces only in rational B-spline (NURBS) form ( .Farin, 1994; .Hoschek and Lasserâ€¦Â (More)

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1996

1996

- Rida T. Farouki, Sagar Shah
- Computer Aided Geometric Design
- 1996

CNC machining requires "interpolation" algorithms that accurately and efficiently generate sequences of reference positionsâ€¦Â (More)

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