Exact numerical computation of the rational general linear transformations

@inproceedings{Anderson2002ExactNC,
  title={Exact numerical computation of the rational general linear transformations},
  author={James Anderson},
  booktitle={SPIE Optics + Photonics},
  year={2002}
}
  • James Anderson
  • Published in SPIE Optics + Photonics 2002
  • Mathematics, Engineering
The rational, general-linear transformations can be computed exactly using rational, matrix arithmetic. A subset of these transformations can be expressed in QR form as the product of a rational, orthogonal matrix Q and a rational, triangular matrix R of homogeneous co-ordinates. We present here a derivation of a half-tangent formula that encodes all of the rational rotations. This presentation involves many fewer axioms than in previous, unpublished work and reduces the number of transrational… Expand

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