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CAD
2006
Springer

Fast computation of inertia through affinely extended Euler tensor

13 years 11 months ago
Fast computation of inertia through affinely extended Euler tensor
We introduce an affine extension of the Euler tensor which encompasses all of the inertia properties of interest in a convenient linear format, and we show how it transforms under affine maps. This result generalizes the standard theorems on the action of rigid transformations (translations and rotations) on inertia properties, allowing for stretch and shear components of the transformation. More importantly, it provides extremely simple and highly efficient computational tools. By these means, a very fast computation of the inertia properties of polyhedral bodies and surfaces may be obtained. The paper contains some mathematical background, a discussion of the state of the art, and a detailed algorithmic description of the new method, that computes and transforms the Euler tensor (strictly related to the inertia) under general affine maps, through addition and multiplication of 4
Antonio DiCarlo, Alberto Paoluzzi
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CAD
Authors Antonio DiCarlo, Alberto Paoluzzi
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