Euclidean geometric objects in the Clifford geometric algebra of \{origin, 3-space, infinity\} (Q1774317)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Euclidean geometric objects in the Clifford geometric algebra of \{origin, 3-space, infinity\} |
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Euclidean geometric objects in the Clifford geometric algebra of \{origin, 3-space, infinity\} (English)
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6 May 2005
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The author derives explicit formulas for geometric objects of 3D Euclidean geometry using a special homogeneous conformal model of Euclidean space. Such parametrisations may play a role in computer based visualisations. Specifying a basis and two ideal elements, the origin and the line at infinity, explicit equations for pairs of points, lines, circles and spheres are given.
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Euclidean geometry
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conformal models of Euclidean geometries
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parametric equations
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circles
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points
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ideal elements
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geometric objects
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