Representing Rotations and Orientations in Geometric Computing

by: Jehee Lee

Computer Graphics and Applications, IEEE, Vol. 28, No. 2. (2008), pp. 75-83.

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Abstract

This article provides a useful perspective of understanding, representing, and manipulating 3D orientation and rotation for geometric computing. Coordinate-free geometric programming and affine geometry, which makes a distinction between points and vectors and defines operations for combining them, inspires our approach. Based upon affine geometry, Goldman and DeRose pioneered a method of writing graphics programs that are independent of the choice of reference coordinate frames. The study on geometric algebra pursues a similar goal with various geometric primitives rather than just vectors and points.

@article{Lee08, abstract = {This article provides a useful perspective of understanding, representing, and manipulating 3D orientation and rotation for geometric computing. Coordinate-free geometric programming and affine geometry, which makes a distinction between points and vectors and defines operations for combining them, inspires our approach. Based upon affine geometry, Goldman and DeRose pioneered a method of writing graphics programs that are independent of the choice of reference coordinate frames. The study on geometric algebra pursues a similar goal with various geometric primitives rather than just vectors and points.}, author = {Lee, Jehee }, booktitle = {Computer Graphics and Applications, IEEE}, citeulike-article-id = {2997952}, doi = {10.1109/MCG.2008.37}, journal = {Computer Graphics and Applications, IEEE}, keywords = {3d-rotation-orientation}, number = {2}, pages = {75--83}, posted-at = {2008-07-14 05:42:45}, priority = {2}, title = {Representing Rotations and Orientations in Geometric Computing}, url = {http://dx.doi.org/10.1109/MCG.2008.37}, volume = {28}, year = {2008} }

RIS record

TY - JOUR ID - Lee08 L3 - citeulike-article-id:2997952 TI - Representing Rotations and Orientations in Geometric Computing T2 - Computer Graphics and Applications, IEEE JF - Computer Graphics and Applications, IEEE VL - 28 IS - 2 SP - 75 EP - 83 N2 - This article provides a useful perspective of understanding, representing, and manipulating 3D orientation and rotation for geometric computing. Coordinate-free geometric programming and affine geometry, which makes a distinction between points and vectors and defines operations for combining them, inspires our approach. Based upon affine geometry, Goldman and DeRose pioneered a method of writing graphics programs that are independent of the choice of reference coordinate frames. The study on geometric algebra pursues a similar goal with various geometric primitives rather than just vectors and points. KW - 3d-rotation-orientation AU - Lee, Jehee PY - 2008/// UR - http://dx.doi.org/10.1109/MCG.2008.37 ER -

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