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15

CAD
2000
Springer

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Error propagation in geometric constructions

13 years 4 months ago

Error propagation in geometric constructions

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In this paper we consider error propagation in geometric constructions from a geometric viewpoint. First we study affine combinations of convex bodies: This has numerous examples in splines curves and surfaces defined by control points. Second, we study in detail the circumcircle of three points in the Euclidean plane. It turns out that the right geometric setting for this problem is Laguerre geometry and the cyclographic mapping, which provides a point model for sets of circles or spheres.

Johannes Wallner, Rimvydas Krasauskas, Helmut Pott

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CAD 2000 | Geometric | Geometric Constructions | Geometric Viewpoint | Theoretical Computer Science |

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Added	17 Dec 2010
Updated	17 Dec 2010
Type	Journal
Year	2000
Where	CAD
Authors	Johannes Wallner, Rimvydas Krasauskas, Helmut Pottmann

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