Comparison of two-dimensional integration methods for shape reconstruction from gradient data |
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| Institution: | 1. Brookhaven National Laboratory—NSLS II, 50 Rutherford Dr. Upton, NY 11973-5000, USA;2. Jiangsu Key Laboratory of Spectral Imaging & Intelligence Sense, Nanjing University of Science and Technology, Nanjing 210094, China;3. College of Mechatronic Engineering and Automation, National University of Defense Technology, Changsha 410073, China;4. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;1. Jiangsu Key Laboratory of Spectral Imaging & Intelligence Sense, Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China;2. Centre for Optical and Laser Engineering, School of Mechanical and Aerospace Engineering, Nanyang Technological University, 639798 Singapore;3. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA 94720, USA;1. Smart Computational Imaging Laboratory (SCILab), Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China;2. Jiangsu Key Laboratory of Spectral Imaging & Intelligent Sense, Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China;1. Nanjing University of Science and Technology, School of Electronic and Optical Engineering, Xiaolingwei 200#, Nanjing 210094, China;2. Nanjing University of Science and Technology, Jiangsu Key Laboratory of Spectral Imaging & Intelligence Sense, Xiaolingwei 200#, Nanjing 210094, China;1. Smart Computational Imaging Laboratory (SCILab), Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China;2. Jiangsu Key Laboratory of Spectral Imaging & Intelligent Sense, Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China;1. School of Electronic and Optical Engineering, Nanjing University of Science and Technology, No. 200 Xiaolingwei Street, Nanjing, Jiangsu Province 210094, China;2. Jiangsu Key Laboratory of Spectral Imaging and Intelligent Sense, Nanjing, Jiangsu Province 210094, China;3. Smart Computational Imaging Laboratory (SCILab), Nanjing University of Science and Technology, Nanjing, Jiangsu Province 210094, China |
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| Abstract: | As a requisite and key step in some gradient-based measurement techniques, the reconstruction of the shape, more generally the scalar potential, from the measured gradient data has been studied for many years. In this work, three types of two-dimensional integration methods are compared under various conditions. The merits and drawbacks of each integration method are consequently revealed to provide suggestions in selection of a proper integration method for a particular application. |
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| Keywords: | Integration Shape reconstruction Wavefront reconstruction Shape from gradient Least squares estimation |
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