Jorge Rivera-Rovelo

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We present an algorithm in the conformal geometric algebra framework which computes the transformation (rotation and translation) relating the coordinate system of an endoscopic camera, with the coordinate system of the markers placed on it. Such markers are placed in order to track the camera's position in real time by using an optical tracking system. The(More)
In this paper we present a method based on self-organizing neural networks to extract the shape of a 2D or 3D object using a set of transformations expressed as versors in the conformal geometric algebra framework. Such transformations, when applied to any geometric entity of this geometric algebra, define the shape of the object. This approach was tested(More)
We present a new approach to model 2D surfaces and 3D volumetric data, as well as an approach for non-rigid registration; both are developed in the geometric algebra framework. The approach for modeling is based on marching cubes idea using however spheres and their representation in the conformal geometric algebra; it will be called marching spheres. Note(More)
This paper presents a method for segmentation of medical images and the application of the so called geometric or Clifford algebras for volume representation, non-rigid registration of volumes and object tracking. Segmentation is done combining texture and boundary information in a region growing strategy obtaining good results. To model2D surfaces and 3D(More)
In this paper we present a method based on self-organizing neural networks to extract the shape of an object which is useful for segmentation tasks. For that, the method uses a set of transformations expressed as versors in the conformal geometric algebra framework. Such transformations, when applied to any geometric entity of this geometric algebra, define(More)
Registration of points obtained from preoperative 3 0 model and points of intraopertive stereo 3D representation, as well as tracking of surgical devices are two important stages in compute< aided surgery (CAS). This work shows the application and comparisor~ of two different methods (RPM and ICP) in the registration process ofpatient 's head markers, as(More)