Jorge Rivera-Rovelo, CINVESTAV Unidad Guadalajara, Av. Cient??fica 1145, El Baj??o, Zapopan, Jalisco 45010, Mexico
This paper presents two applications of Geometric Algebras: the main is a variant of the Thin-plate - Robust Point Matching algorithm, named by us "Robust Sphere Matching", to register 3D objects modeled as sets of spheres using the representation of such spheres in the Conformal Geometric Algebra. By this way, we take advantage and combine the geometric interpretation of entities of such algebra with the statistical methods used in the algorithm. In the experimental part, examples using synthetic and real data are presented to show how the algorithm works reliably, aligning volumetric models based on spheres. The second applications is the real time tracking of devices.
Citation:
Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano, "Non-Rigid Alignment and Real-Time Tracking Using the Geometric Algebra Framework," icpr, vol. 4, pp.675-678, 18th International Conference on Pattern Recognition (ICPR'06) Volume 4, 2006