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- Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano
- Pattern Recognition
- 2007

- Jorge Rivera-Rovelo, Silena Herold-García, Eduardo Bayro-Corrochano
- 2008 IEEE International Conference on Robotics…
- 2008

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)

- Eduardo Bayro-Corrochano, Jorge Rivera-Rovelo
- Journal of Mathematical Imaging and Vision
- 2008

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)

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)

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)

- Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano
- The 2006 IEEE International Joint Conference on…
- 2006

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)

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… (More)

- Ruben Machucho-Cadena, Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano
- Pattern Recognition
- 2014

- Jorge Rivera-Rovelo, Eduardo Bayro-Corrochano, Rüdiger Dillmann
- Geometric Algebra Computing
- 2010