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Universidad EAFIT
Carrera 49 # 7 sur -50 Medellín Antioquia Colombia
Carrera 12 # 96-23, oficina 304 Bogotá Cundinamarca Colombia
(57)(4) 2619500 contacto@eafit.edu.co

Computational Geometry in Medical Applications

Camilo A. Cortes Acosta

June 2016

Abstract
His     doctoral     thesis     develops     novel     techniques     in Computational   Geometry   and   applies   them   to   Medical  Imaging, Image Guided Surgery and Motor Neurorehabilitation.  In   Medical   Imaging,   this   Thesis   contributes   with:   (a) optimization    of    parametric    forms    applicable    to    image segmentation    and    organic    shape    synthesis,    and    (b) simplification  of  topology  and  geometry  of  porous  materials, which enables mechanical computations (previously intractable) while faithfully representing local pore geometry. In Image Guided   Surgery,   this   Thesis   addresses   surgical patient  registration,  including:  (c)  a  robotic  research  platform for the controlled acquisition of intraoperative medical images, (d)  intraoperative  registration  of  Computer  Tomography  and Ultrasound   medical   images of   the  patient   spine,  and   (e) homologated   and   public   Ultrasound   Image   dataset with ground truth   to   test   2D   or   3D image   registration  algorithms. 

In Motor Neurorehabilitation this Thesis addresses the patient posture    estimation    in    exoskeleton based therapy.    Its  contributions  include:  (f)  enhanced  estimation  of  upper  limb joint   angles,   significantly   improving   exoskeleton based  estimations,  and  (g)  enhanced  estimation  of  shoulder  angles using  low cost  marker based  optical  systems  along  with the rehabilitation exoskeleton.
All  the  aforementioned  contributions  have  been  submitted  to the   screening   and   critique   of   the   international   relevant scientific  communities,  achieving  publication,  homologation and/or favorable appraisal by experts. The developed systems, data sets and algorithms are currently applied in the National Hospital  for  Spinal  Cord  Injury  (Toledo,  Spain)  and  Surgical Robotics Project ORXXI (Basque Country, Spain.