A novel method of combined interval analysis and homotopy continuation in indoor building reconstruction

References

• Allgower, E. L., and K. Georg. 1990. Numerical Continuation Methods: An Introduction. New York, NY: Springer.
   Google Scholar
• Amato, E., G. Antonucci, and B. Belnato. 2003. “The Three Dimensional Laser Scanner System: The New Frontier for Surveying.” The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XXXIV-5/W12: 17–22.
   Google Scholar
• Biosca, J. M., and J. L. Lerma. 2008. “Unsupervised Robust Planar Segmentation of Terrestrial Laser Scanner Point Clouds Based on Fuzzy Clustering Methods.” ISPRS Journal of Photogrammetry and Remote Sensing 63 (1): 84–98.
   Web of Science ®Google Scholar
• Calafiore, G. C., and L. El Ghaoui. 2014. Optimization Models. Cambridge: Cambridge University Press.
   Google Scholar
• Clifford, P. M. 1985. “The International Vocabulary of Basic and General Terms in Metrology.” Measurement 3 (2): 72–76. doi:doi: 10.1016/0263-2241(85)90006-5.
   Google Scholar
• Diakité, A. A., and S. Zlatanova. 2016. “First Experiments with the Tango Tablet for Indoor Scanning.” ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences III-4: 67–72.
   Google Scholar
• Díaz-Vilariño, L., K. Khoshelham, J. Martínez-Sánchez, and P. Arias. 2015. “3D Modeling of Building Indoor Spaces and Closed Doors From Imagery and Point Clouds.” Sensors 15 (2): 3491–3512.
   PubMed Web of Science ®Google Scholar
• Donath, D., and T. Thurow. 2007. “Integrated Architectural Surveying and Planning.” Automation in Construction 16 (1): 19–27.
   Web of Science ®Google Scholar
• Haala, N., and M. Kada. 2010. “An Update on Automatic 3D Building Reconstruction.” ISPRS Journal of Photogrammetry and Remote Sensing 65 (6): 570–580.
   Web of Science ®Google Scholar
• Habib, A. F., R. Zhai, and C. Kim. 2010. “Generation of Complex Polyhedral Building Models by Integrating Stereo-Aerial Imagery and LiDAR Data.” Photogrammetric Engineering & Remote Sensing 76 (5): 609–623.
   Web of Science ®Google Scholar
• Henry, P., M. Krainin, E. Herbst, X. Ren, and D. Fox. 2010. “RGB-D Mapping: Using Depth Cameras for Dense 3D Modeling of Indoor Environments.” In Experimental Robotics. Springer Tracts in Advanced Robotics, edited by O. Khatib, V. Kumar, and G. Sukhatme, Vol 79, 477–491. Berlin-Heidelberg: Springer.
   Google Scholar
• Isikdag, U., and J. Underwood. 2010. “Two Design Patterns for Facilitating Building Information Model-Based Synchronous Collaboration.” Automation in Construction 19 (5): 544–553.
   Web of Science ®Google Scholar
• Jamali, A. 2017. “3D Indoor Topological Modelling Based on Homotopy Continuation.” PhD thesis. Department of Geoinformation, Universiti Teknologi Malaysia, Malaysia.
   Google Scholar
• Jamali, A., A. Abdul Rahman, P. Boguslawski, P. Kumar, and C. M. Gold. 2017. “An Automated 3D Modeling of Topological Indoor Navigation Network.” GeoJournal 82 (1): 157–170.
   Web of Science ®Google Scholar
• Jamali, A., P. Boguslawski, E. E. Duncan, C. M. Gold, and A. Abdul Rahman. 2013. “Rapid Indoor Data Acquisition for Ladm-Based 3D Cadastre Model.” ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences II-2/W1 (1): 153–156.
   Google Scholar
• Jamali, A., P. Boguslawski, C. M. Gold, and A. A. Rahman. 2014. “Rapid Indoor Data Acquisition Technique for Indoor Building Surveying for Cadastre Application.” In Innovations in 3D Geo-Information Sciences. Lecture Notes in Geoinformation and Cartography, edited by U. Isikdag, 1–11. Cham: Springer.
   Google Scholar
• Janowski, A., K. Nagrodzka-Godycka, J. Szulwic, and P. Ziolkowski. 2016. “Remote Sensing and Photogrammetry Techniques in Diagnostics of Concrete Structures.” Computers and Concrete 18 (3): 405–420.
   Web of Science ®Google Scholar
• Khaloo, A., and D. Lattanzi. 2017a. “Hierarchical Dense Structure-From-Motion Reconstructions for Infrastructure Condition Assessment.” Journal of Computing in Civil Engineering 31 (1): 04016047.
   Web of Science ®Google Scholar
• Khaloo, A., and D. Lattanzi. 2017b. “Robust Normal Estimation and Region Growing Segmentation of Infrastructure 3D Point Cloud Models.” Advanced Engineering Informatics 34: 1–16.
   Web of Science ®Google Scholar
• Lichti, D. D., and M. G. Licht. 2006. “Experiences with Terrestrial Laser Scanner Modelling and Accuracy Assessment.” International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences 36 (5): 155–160.
   Google Scholar
• Musialski, P., P. Wonka, D. G. Aliaga, M. Wimmer, L. V. Gool, and W. Purgathofer. 2013, September. “A Survey of Urban Reconstruction.” Computer Graphics Forum 32 (6): 146–177.
   Web of Science ®Google Scholar
• Ramon Moore, R. K. E., and M. J. Cloud. 2009. Introduction to Interval Analysis. Philadelphia: SIAM (Society for Industrial and Applied Mathematics).
   Google Scholar
• Remondino, F., M. G. Spera, E. Nocerino, F. Menna, and F. Nex. 2014. “State of the Art in High Density Image Matching.” The Photogrammetric Record 29 (146): 144–166.
   Web of Science ®Google Scholar
• Rudin, Walter. 1980. Real and Complex Analysis. 2nd ed. New Delhi: Tata McGraw-Hill. ISBN 9780070542341.
   Google Scholar
• Schnabel, R., R. Wahl, and R. Klein. 2007, June. “Efficient RANSAC for Point-Cloud Shape Detection.” Computer Graphics Forum 26 (2): 214–226.
   Web of Science ®Google Scholar
• Surmann, H., A. Nüchter, and J. Hertzberg. 2003. “An Autonomous Mobile Robot with a 3D Laser Range Finder for 3D Exploration and Digitalization of Indoor Environments.” Robotics and Autonomous Systems 45 (3-4): 181–198.
   Web of Science ®Google Scholar
• Tysiac, P., A Wojtowicz, and J. Szulwic. 2016, June. “Coastal Cliffs Monitoring and Prediction of Displacements Using Terrestial Laser Scanning.” In Proceedings of the 2016 Baltic Geodetic Congress (Geomatics), 61–66. Los Alamitos, CA: IEEE Computer Society.
   Google Scholar
• Xiong, X., A. Adan, B. Akinci, and D. Huber. 2013. “Automatic Creation of Semantically Rich 3D Building Models From Laser Scanner Data.” Automation in Construction 31: 325–337.
   Web of Science ®Google Scholar