Feature preserving multiresolution subdivision and simplification of point clouds: A conformal geometric algebra approach
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4616
Abstract: Due to the huge volume and complex structure, simplification of point clouds is an important technique in practical applications. However, the traditional algorithms often lose geometric information and have no dynamic expanding structure. In this… read more here.
Keywords: multiresolution subdivision; geometric algebra; point clouds; simplification point ... See more keywords
Forward Displacement Analysis of a General 6-3 Stewart Platform Using Conformal Geometric Algebra
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Problems in Engineering"
DOI: 10.1155/2017/4687638
Abstract: In this paper, a new algorithm for the forward displacement analysis of a general 6-3 Stewart platform (6-3SPS) based on conformal geometric algebra (CGA) is presented. First, a 6-3SPS structure is changed into an equivalent… read more here.
Keywords: displacement analysis; analysis general; stewart platform; forward displacement ... See more keywords
Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra
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DOI: 10.17863/cam.46117
Abstract: Typically we do not add objects in conformal geometric algebra (CGA), rather we apply operations that preserve grade, usually via rotors, such as rotation, translation, dilation, or via reflection and inversion. However, here we show… read more here.
Keywords: geometric objects; geometric algebra; linear interpolation; direct linear ... See more keywords