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2011

2011

In general, the orientation interpolation of industrial robots has been done based on Euler angle system which can result in… Expand

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2009

2009

Using methods derived from De Moivre's theorem for complex numbers and its extension to quaternions we consider ways of speeding… Expand

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2008

2008

Robert Gray has derived exact transformation equations for Buckminster Fuller's icosahedron-based world map projection. This… Expand

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Highly Cited

2006

Highly Cited

2006

We present the three main mathematical constructs used to represent the attitude of a rigid body in threedimensional space. These… Expand

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2006

2006

In high-energy physics, medical treatments, and space detections, quadrupole field distributions and sextupole field… Expand

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2005

2005

As simulation and rendering capabilities continue to incre ase, volumetric effects like smoke, fire or explosions will be… Expand

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2004

2004

We are interested in first order v/c velocity effects in scattering problems involving motion of media and scatterers. Previously… Expand

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2003

2003

Transmit beamforming with receive combining is a simple method for exploiting the significant diversity provided by multiple… Expand

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2000

2000

Abstract The osmophoretic motion of two spherical vesicles in a constant gradient of solute concentration is analyzed using a… Expand

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Highly Cited

2000

Highly Cited

2000

The main topics of this technical report are quaternions, their mathematical properties, and how they can be used to rotate… Expand

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