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001472266 001__ 1472266
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001472266 019__ $$a1392344378
001472266 020__ $$a9789819907762$$q(electronic bk.)
001472266 020__ $$a9819907764$$q(electronic bk.)
001472266 020__ $$z9819907756
001472266 020__ $$z9789819907755
001472266 0247_ $$a10.1007/978-981-99-0776-2$$2doi
001472266 035__ $$aSP(OCoLC)1392164806
001472266 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP
001472266 049__ $$aISEA
001472266 050_4 $$aTS171.95
001472266 08204 $$a621.988$$223/eng/20230811
001472266 24500 $$aMathematical methods for objects reconstruction :$$bfrom 3D vision to 3D printing /$$cEmiliano Cristiani, Maurizio Falcone, Silvia Tozza, editors.
001472266 260__ $$aSingapore :$$bSpringer,$$c2023.
001472266 300__ $$a1 online resource
001472266 4901_ $$aSpringer INdAM series ;$$vv. 54
001472266 5050_ $$aIntro -- Preface -- Contents -- An Overview of Some Mathematical Techniques and Problems Linking 3D Vision to 3D Printing -- 1 Introduction -- 2 Modeling with a Single Input Image -- 2.1 Modelization of the Surface Reflectance -- 2.2 Some Hints on Theoretical Issues: Viscosity Solutions and Boundary Conditions -- 2.3 Modelization of the Camera and the Light -- 3 Modeling with More Input Images -- 3.1 Photometric Stereo Technique -- 3.2 Multi-View SfS -- 4 An Example of Numerical Resolution -- 5 Moving from 3D Vision to 3D Printing -- 5.1 Overview
001472266 5058_ $$a5.2 Front Propagation Problem, Level-set Method and the Eikonal Equation -- 5.3 Computation of the Signed Distance Function from a Surface -- 6 Handling Overhangs -- 6.1 Detecting Overhangs via Front Propagation -- 6.2 Fixing Overhangs via Level-set Method 1: A Direct Approach -- 6.3 Fixing Overhangs via Level-set Method 2: Topological Optimization with Shape Derivatives -- 7 Building Object-Dependent Infill Structures -- 8 Conclusions -- Appendix A: The STL Format -- Appendix B: The G-code Format -- References
001472266 5058_ $$aPhotometric Stereo with Non-Lambertian Preprocessing and Hayakawa Lighting Estimation for Highly Detailed ShapeReconstruction -- 1 Introduction -- 2 Mathematical Setup -- 3 Photometric Stereo with Known Lighting -- 4 Hayakawa's Lighting Estimation Setup -- 5 The Oren-Nayar Model -- 6 Numerical Results -- 7 Summary and Conclusion -- References -- Shape-from-Template with Camera Focal Length Estimation -- 1 Introduction -- 1.1 Shape-from-Template (SfT) -- 1.2 Chapter Innovations -- 1.3 Chapter Organization -- 2 Related Works -- 2.1 SfT Approaches -- 2.1.1 Closed-Form Solutions
001472266 5058_ $$a2.1.2 Optimization-Based Solutions -- 2.1.3 CNN-Based Solutions -- 2.2 fSfT Solutions -- 3 Methodology -- 3.1 Problem Modeling -- 3.1.1 Template Geometry and Deformation Parameterization -- 3.1.2 Cost Function -- 3.1.3 Cost Normalization Summary and Weight Hyper-parameters -- 3.2 Optimization -- 3.2.1 Approach Overview -- 3.2.2 Generating the Initialization Set -- 3.2.3 Optimization Process and Pseudocode -- 4 Experimental Results -- 4.1 Datasets -- 4.2 Evaluation Metrics -- 4.3 Success Rates -- 4.4 FLPE and SE Results -- 4.5 Results Visualizations -- 4.6 Convergence Basin -- 4.7 Results Summary
001472266 5058_ $$a4.8 Additional Initialization Sensitivity Experiments -- 4.9 Isometric Weight Sensitivity -- 5 Conclusion -- Appendix -- 1 Overview -- 2 Discrete Quasi-isometric Cost Implementation -- 2.1 Triangle Geometry and Embedding Functions -- 2.2 Cost -- 3 Optimization Termination Conditions -- 4 SfT Implementation Details -- 4.1 MDH -- 4.2 PnP -- 5 Dataset Descriptions -- 6 Additional Initialization Sensitivity Experiments -- 6.1 Initialization Policies -- 6.2 Dataset Versions -- 6.3 Results -- 7 Computation Cost Analysis -- References -- Reconstruction of a Botanical Tree from a 3D Point Cloud
001472266 506__ $$aAccess limited to authorized users.
001472266 520__ $$aThe volume collects several contributions to the INDAM workshop Mathematical Methods for Objects Reconstruction: from 3D Vision to 3D Printing held in Rome, February, 2021. The goal of the workshop was to discuss new methods and conceptual structures for managing these challenging problems. The chapters reflect this goal and the authors are academic researchers and some experts from industry working in the areas of 3D modeling, computer vision, 3D printing and/or developing new mathematical methods for these problems. The contributions present methodologies and challenges raised by the emergence of large-scale 3D reconstruction applications and low-cost 3D printers. The volume collects complementary knowledges from different areas of mathematics, computer science and engineering on research topics related to 3D printing, which are, so far, widely unexplored. Young researchers and future scientific leaders in the field of 3D data acquisition, 3D scene reconstruction, and 3D printing software development will find an excellent introduction to these problems and to the mathematical techniques necessary to solve them.
001472266 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed August 11, 2023).
001472266 650_0 $$aThree-dimensional printing$$xMathematics.
001472266 650_0 $$aThree-dimensional imaging$$xMathematics.
001472266 655_0 $$aElectronic books.
001472266 7001_ $$aCristiani, Emiliano.
001472266 7001_ $$aFalcone, Maurizio.
001472266 7001_ $$aTozza, Silvia.
001472266 77608 $$iPrint version: $$z9819907756$$z9789819907755$$w(OCoLC)1369279738
001472266 830_0 $$aSpringer INdAM series ;$$vv. 54.
001472266 852__ $$bebk
001472266 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-99-0776-2$$zOnline Access$$91397441.1
001472266 909CO $$ooai:library.usi.edu:1472266$$pGLOBAL_SET
001472266 980__ $$aBIB
001472266 980__ $$aEBOOK
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