I am an associate professor in the Center for Informatics, Federal University of Pernambuco, Brazil. I have been working on Computational Geometry, mainly with Delaunay Triangulations or subjects more or less related. I've been also envolved with C++ programming and other programming languages. I have some history with CGAL open source Library as well. Regarding our new circumstances, I have been interested in exploring new ways to be more effective teaching undergraduate level math remotely. You can find a short desciption of each one of my publications here and a small description of my current teaching activity here.
Social Media: YouTube/Facebook/Instagram/Twitter/Twitch/LinkedIn
Below, you have a short CV. You can find my extended CV in portuguese here.
Associate Professor in Center for Informatics, Federal University of Pernambuco, Brazil.
Postdoc at GMSV/ KAUST, Thuwal, Saudi Arabia, 2011. (Direction: Helmut Pottmann.)
Ph.D. in Computer Science, at GEOMETRICA/INRIA, Université de Nice, France, 2010. (Advisor: Olivier Devillers.)
M.Sc. in Computer Science, at Federal University of Pernambuco, Brazil, 2007. (Advisor: Silvio de Barros Melo.)
B.Sc. in Computer Science, at Federal University of Pernambuco, Brazil, 2005.
1st Place. South-American ACM Collegiate Programming Contest 2003.
1st Place. South-American ACM Collegiate Programming Contest 2002.
Pedro Machado Manhães de Castro, Olivier Devillers. Expected Length of the Voronoi Path in a High Dimensional Poisson-Delaunay Triangulation, Discrete & Computational Geometry, 60:200-219, 2018.
Pedro Machado Manhães de Castro, Quentin Mérigot, Boris Thibert. Far-field reflector problem and intersection of paraboloids, Numerische & Mathematik, 134:389-411, 2015.
Pedro Machado Manhães de Castro, Lucas Almeida Pereira de Lima, Franklin Leandro Acioly Lucena. Invariances of Single Curved Manifolds Applied to Mesh Segmentation, Computers & Graphics, 38:399–409, 2014.
Pedro Machado Manhães de Castro and Olivier Devillers. Practical distribution-sensitive point location in triangulations, Computer Geometric Aided Design, 39(5), 431–450, 2013.
Pedro Machado Manhães de Castro and Olivier Devillers. On the asymptotic growth rate of some spanning trees embedded in Rd, Operations Research Letters, 39:44-48, 2010.
Pedro Machado Manhães de Castro, Frédéric Cazals, Sébastien Loriot, and Monique Teillaud. Design of the CGAL 3D spherical kernel and application to arrangements of circles on a sphere, Computational Geometry: Theory and Applications, 42(6-7):536-550, 2009.
Pedro Machado Manhães de Castro, Jane Tournois, Pierre Alliez, and Olivier Devillers. Filtering relocations on a Delaunay triangulation, Computer Graphics Forum, 28:1465-1474, 2009.
Kevin Buchin, Pedro Machado Manhães de Castro, Olivier Devillers, Menelaos Karavelas. Hardness results on Voronoi, Laguerre and Apollonius diagrams. In the 31st Canadian Conference in Computational Geometry, 99-104, 2019.
Daniel Binham, Pedro Machado Manhães de Castro, Antoine Vigneron. Reachability in a Planar Subdivision with Direction Constraints. In the 33rd Annual Symposium on Computational Geometry, 77(1-15), 2017.
Pedro Machado Manhães de Castro, Quentin Mérigot, Boris Thibert. Intersection of Paraboloids and Application to Minkowski-Type Problems. In the 30th Annual Symposium on Computational Geometry, 308-317, 2014.
Pedro Machado Manhães de Castro. Invariance for Single Curved Manifold. In SIBGRAPI’2012 (XXV Conference on Graphics, Patterns and Images).
Pedro Machado Manhães de Castro and Olivier Devillers. Simple and Efficient Distribution-Sensitive Point Location, in Triangulations. In Workshop on Algorithm Engineering and Experiments, 127-138, 2011.
Manuel Caroli, Pedro Machado Manhães de Castro, Sébastien Loriot, Olivier Rouiller, Monique Teillaud, and Camille Wormser. Robust and Efficient Delaunay Triangulations of Points on or Close to a Sphere. In 9th International Symposium on Experimental Algorithms, volume 6049 of Lecture Notes in Computer Science, 462-473, 2010.
Pedro Machado Manhães de Castro and Olivier Devillers. Fast Delaunay Triangulation for Converging Point Relocation Sequences. In Abstracts 25th. European Workshop on Computational Geometry, 231-234, 2009.
Pedro Machado Manhães de Castro, Sylvain Pion, and Monique Teillaud. Exact and efficient computations on circles in CGAL. In Abstracts 23rd. European Workshop on Computational Geometry, 219-222, 2007.
Alessandro Luna Almeida, Pedro Machado Manhães de Castro, Talita Menezes, and Geber Lisboa Ramalho. Idleness and Distance to design Heuristic Agents for the Patrolling Task. In 2nd Brazilian Workshop in Games and Digital Entertainment, 33-40, 2003.
Pedro Machado Manhães de Castro and Olivier Devillers. A Javascript Pedagogic Software for Point Location Strategies. In Proceedings of 27th Annual Symposium on Computational Geometry, 295-296, 2011. (Link: www-sop.inria.fr/geometrica/demo/point location strategies/ ; it was designed to work on a desktop computer.)
Pedro Machado Manhães de Castro, Frédéric Cazals, Sébastien Loriot, and Monique Teillaud. CGAL 3D Spherical Geometry Kernel. (With patent.)
Pedro Machado Manhães de Castro, Sylvain Pion, and Monique Teillaud. CGAL 2D Circular Geometry Kernel.
Pedro Machado Manhães de Castro, Olivier Devillers. Point Relocation on CGAL Delaunay Triangulations.
Pedro Machado Manhães de Castro, Olivier Devillers. Removing a Cluster of Points in CGAL Delaunay Triangulations in 3D.
Pedro Machado Manhães de Castro, Alexandru Tifrea. CGAL Random Points Generators for Triangles and Tetrahedra.
Pedro Machado Manhães de Castro, Olivier Devillers. CGAL Spatial Sorting on a Sphere.