Tree of primitive Pythagorean triples

Known as: Barning-Hall tree, Barning–Hall tree, Tree of Pythagorean triples 
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 of… (More)
Wikipedia

Topic mentions per year

Topic mentions per year

1996-2017
0246819962017

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
The construction of space curves with rational rotationminimizing frames (RRMF curves) by the interpolation of G1 Hermite data, i… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2010
2010
The Pythagorean hodograph (PH) curves are polynomial parametric curves {x(t), y(t)} whose hodograph (derivative) components… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2010
2010
This paper deals with 3D cooperative path planning of Unmanned Aerial Vehicles (UAVs) in a static environment with known… (More)
  • figure 1
  • figure 2
  • figure 5
  • figure 3
  • figure 4
Is this relevant?
2010
2010
In this paper, the geometric interpolation of planar data points and boundary tangent directions by a cubic G2 Pythagorean… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2006
2006
This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on… (More)
  • figure 2
  • figure 1
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2006
2006
The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. In… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
2002
Highly Cited
2002
The Pythagorean hodograph (PH) curves are characterized by certain Pythagorean n-tuple identities in the polynomial ring… (More)
Is this relevant?
2001
2001
Polynomial Pythagorean hodograph (PH) curves form a remarkable subclass of polynomial parametric curves; they are distinguished… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Highly Cited
1997
Highly Cited
1997
Current CAD systems can represent curves and surfaces only in rational B-spline (NURBS) form ( .Farin, 1994; .Hoschek and Lasser… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
1996
1996
CNC machining requires "interpolation" algorithms that accurately and efficiently generate sequences of reference positions… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • table 1
Is this relevant?