Mathematical Methods for Objects Reconstruction

Emiliano Cristiani, born in 1977, is Senior Researcher at National Research Council of Italy. He graduated in 2004 in Mathematics and got a Ph.D. in Applied Mathematics from Sapienza Università di Roma. His research interests include models for simulation of self-organization in collective behaviour (vehicles, pedestrians, animals), Hamilton-Jacobi equations with application to optimal control theory, image processing, and 3D printing. He is author of about 40 papers on international journals. Maurizio Falcone, born in 1954, is Full Professor of Numerical Analysis at Dipartimento di Matematica, Sapienza Università di Roma. He received a Master Degree in Mathematics, cum laude, from the same university in 1978. Main research areas are numerical analysis, partial differential equations, control theory and differential games, image processing. He is author of about 80 papers on international journals and he was coordinator of International Research Projects (Galileo,INTAS, Marie Curie).Silvia Tozza, born in 1985, is Senior Assistant Professor (tenure-track) in Numerical Analysis at Department of Mathematics, ALMA MATER STUDIORUM Università di Bologna. She obtained her B.Sc. in Mathematics at Università degli Studi di Salerno in 2008, M.Sc. and Ph.D. in Applied Mathematics at Sapienza Università di Roma in 2011 and January 2015, respectively. Her research activity focuses mainly on analysis and approximation of Hamilton-Jacobi equations with applications in Image Processing.

• 1 Emiliano Cristiani, Maurizio Falcone, and Silvia Tozza, An Overview of Some Mathematical Techniques and Problems Linking 3D Vision to 3D Printing.- 2 Georg Radow, Giuseppe Rodriguez, Ashkan Mansouri Yarahmadi, and Michael Breuß, Photometric Stereo with Non-Lambertian Preprocessing and Hayakawa Lighting Estimation for Highly Detailed Shape Reconstruction.- 3 Toby Collins and Adrien Bartoli, Shape-from-Template with Camera Focal Length Estimation.- 4 J. Andreas Bærentzen, Ida Bukh Villesen, Ebba Dellwik, Reconstruction of a Botanical Tree from a 3D Point Cloud.- 5 Jesse Beisegel, Johannes Buhl, Rameez Israr, Johannes Schmidt, Markus Bambach, and Armin Fügenschuh, Mixed-Integer Programming Models for Two Metal Additive Manufacturing Methods.- 6 Ashkan Mansouri Yarahmadi, Michael Breuss, Carsten Hartmann, Toni Schneidereit, Unsupervised Optimization of Laser Beam Trajectories for Powder Bed Fusion Printing and Extension to Multiphase Nucleation Models.