臺灣大學: 數學研究所陳宜良吳浩平Wu, Hao-PinHao-PinWu2013-03-212018-06-282013-03-212018-06-282011http://ntur.lib.ntu.edu.tw//handle/246246/249932集成光彈是一藉由偏振光學技術來測定光彈材料內應力分佈的方法,其造影過程可由 Sharafutdinov 提出的截斷橫向射線變換所描述。在這篇論文中,我們利用此一模型將其重建問題置於 TV-L2 極小化的框架下,並結合代數重建法和增廣拉格朗日法提出其對應的數值重建過程。Integrated photoelsticity is a method for determining stress distribution in photoelastic materials by polaried optical techniques. An important model describes the imaging process is truncated transverse ray transform (TTRT) proposed by Sharafutdinov. In this article, we use this model to fit the reconstruction problem into a TV-L2 minimization scheme and propose a numerical reconstruction method combining algebraic reconstruction technique and augmented Lagrangian method.1001754 bytesapplication/pdfen-US增廣拉格朗日法光彈斷層掃描偏振光重建截斷橫向射線變換總變差正規化augmented Lagrangian methodphotoelastic tomographypolarized lightreconstructiontruncated transverse ray transformTV regularizationthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/249932/1/ntu-100-R97221026-1.pdf