Visualizing quaternions

By Andrew J. Hanson. SIGGRAPH Courses, 2005

348 citations recorded by the source corpus.

Subfields: Computer Graphics and Computer-Aided Design, Computer Vision and Pattern Recognition, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/7f6628dd52af8359b0bfae3fa0d44d9724553f0c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Graphics and Computer-Aided Design

1. Carol O'Sullivan
2. Steven Collins
3. Max Wardetzky
4. Eitan Grinspun
5. Jiri Zara
6. Holger Lang
7. J. Linn
8. John D. Gibbon

In Computer Vision and Pattern Recognition

1. Carol O'Sullivan
2. Steven Collins
3. Eitan Grinspun
4. Jiri Zara
5. Holger Lang
6. J. Linn
7. John D. Gibbon
8. Ladislav Kavan

In Control and Systems Engineering

1. Carol O'Sullivan
2. Steven Collins
3. Eitan Grinspun
4. Jiri Zara
5. Holger Lang
6. J. Linn
7. John D. Gibbon
8. Ladislav Kavan

Citations in the corpus

• Discrete elastic rods (2008, background): “Since q is a unit quaternion, q−1q̇ corresponds to a vector in R3 [Hanson 2006].”
• The three-dimensional Euler equations : Where do we stand? (2008, methodology): “This consists of the unit tangent vector, a normal and a bi-normal [108].”
• Skinning with dual quaternions (2007, background): “We assume that the reader is already familiar with regular quaternions, otherwise see for example [Dam et al. 1998; Hanson 2006].”
• Multi-body dynamics simulation of geometrically exact Cosserat rods (2011, methodology): “So the unit sphere S 3 covers SO(3) exactly twice [23] [25] [34] via the Euler map.”