Biografía

Francesc Antón Castro received his B. Sc. degree in geodetic sciences (equivalent to a B. Sc. in Mathematics with a Major in Geometry) from the Conservatoire National des Arts et Métiers (CNAM, Paris, France) in 1992, his M. A.T.D.R. in Land Planning and Regional Development and his M. Sc. in Geodetic Sciences from Université Laval, Québec, Québec, Canada in 1992 and 1995 respectively. He obtained his Ph. D. in Computer Science from the University of British Columbia, Vancouver, British Columbia, Canada. Afterwards, he worked as an Alberta Ingenuity Fund post-doctoral fellow at University of Calgary, Calgary, Alberta, Canada. From August 2006 to May 2017, he worked as a tenured Associate Professor at the Technical University of Denmark (in the departments of Informatics and Mathematical Modeling and National Space Institute). He has been Visiting Professor at Universitat de Girona (Girona, Catalonia, Spain) and Universiti Teknologi Malaysia (Skudai, Johor, Malaysia). Currently, he is holding a Full Professorship in Algebraic and Computational Geometry at Yachay Tech – Ecuador.

Research interests

• Computational Geometry and Topology
• Scientific Visualization
• Interval analysis
• Homotopy continuation
• Interval valued homotopies and their applications to scientific modeling and visualization
• Photogrammetry and Computer Vision
• Ontologies
• Spatio-temporal databases and GIS

Selected Publications

Antón Castro F. 2015. Invariants of the Dirichlet/Voronoi tilings of Hyperspheres in ℝn and their dual Delone/Delaunay graphs. Siauliai Math. Semin., 10 (18), pp. 123-140.

Anton, F., 2008. Voronoi Diagrams of Semi-Algebraic Sets – Delaunay Graphs of Semi-Algebraic Sets, VDM-Verlag, Saarbrücken, ISBN: 978-3-639-03847-7.

Bao, P., F. Anton and J.G. Rokne, 2007. Existence of a Unique Zero of Nonlinear Systems. Journal of Numerical Mathematics, Vol. 15, No. 1, pp. 1-6.

Sharma, O. and F. Anton, 2011. Homotopy based Surface Reconstruction with Application to Acoustic Signals, Visual Computer, ISSN: 0178-2789, Springer, pp. 373-386.