Algebraic geometry approaches to 3D image reconstruction
Anil Laxmanrao WakekarSheetal PatilDepartment of Electronics and Computer Science, Vidyalankar Institute of Technology, Wadala East, Vidyalankar College Marg, Mumbai, Maharashtra, 400037, IndiaVarsha Kiran BhosaleEgambergan XudaynazarovDepartment of General Professional Sciences Mamun University Khiva 220900 UzbekistanNazokat TukhtaevaDepartment of Information Technology and Exact Sciences, Termez University of Economics and Service, Termez, 190100, UzbekistanShivkumar J. KaraleDepartment of Computer Technology, Yeshwantrao Chavan College of Engineering, Nagpur, Maharashtra, 441110, India
2026en
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ABI
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This article discusses about algebraic geometry-based methods for reconstructing three-dimensional (3D) images, focussing on how well they work to get around the problems that regular geometric and numerical methods have. These methods allow correct guesses of depth, camera motion, and structure by writing rebuilding problems as polynomial systems. The suggested approach improves the accuracy, stability, and processing efficiency of structure-from-motion (SFM) tasks. It does this by connecting symbolic mathematics and computer vision in a way that makes 3D modelling and scene recovery more reliable.
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