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Published in:
2005 | OriginalPaper | Chapter
Estimation of Geometric Entities and Operators from Uncertain Data
Authors : Christian Perwass, Christian Gebken, Gerald Sommer
Published in: Pattern Recognition
Publisher: Springer Berlin Heidelberg
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In this text we show how points, point pairs, lines, planes, circles, spheres, and rotation, translation and dilation operators and their uncertainty can be evaluated from uncertain data in a unified manner using the Geometric Algebra of conformal space. This extends previous work by Förstner et al. [3] from points, lines and planes to non-linear entities and operators, while keeping the linearity of the estimation method. We give a theoretical description of our approach and show the results of some synthetic experiments.