The volume collects several contributions to the INDAM workshopMathematical Methods for Objects Reconstruction: from 3D Vision to 3D Printingheld in Rome, February, 2021.The goal of the workshop was to discuss new methods and conceptual structures for managing these challenging problems. The chapters reflect this goal and the authors are academic researchers and some experts from industry working in the areas of 3D modeling, computer vision, 3D printing and/or developing new mathematical methods for these problems. The contributions present methodologies and challenges raised by the emergence...