The use of geometric algebra for 3D modeling and registration of medical data

DOI10.1007/s10851-008-0123-0zbMath1490.68259OpenAlexW2105896053MaRDI QIDQ993518

Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano

Publication date: 20 September 2010

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-008-0123-0

zbMATH Keywords

conformal geometric algebranon-rigid registrationDelaunay tetrahedrizationmarching cubesvolumetric data representationmarching spheres

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Applications of Clifford algebras to physics, etc. (15A67)

Related Items (8)

Embedded coprocessors for native execution of geometric algebra operations ⋮ Geometric entities voting schemes in the conformal geometric algebra framework ⋮ Geometric algebra for multidimension-unified geographical information system ⋮ Monte Carlo geometry modeling for particle transport using conformal geometric algebra ⋮ Time series, hidden variables and spatio-temporal ordinality networks ⋮ \textit{REFORM:} rotor estimation from object resampling and matching ⋮ Implementation and evaluation of medical imaging techniques based on conformal geometric algebra ⋮ Registration of 2D points using geometric algebra and tensor voting

Cites Work

• A new point matching algorithm for non-rigid registration
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