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	High Order Total Variation Method for Interior Tomography
	Yang, Jiansheng ; Yu, Hengyong ; Cong, Wenxiang ; Jiang, Ming ; Wang, Ge
	2012
关键词	Interior tomography compressive sensing total variation (TV) high order TV (HOT) LOCAL TOMOGRAPHY LAMBDA TOMOGRAPHY RECONSTRUCTION
英文摘要	While classic CT theory targets exact reconstruction of a whole cross-section or an entire object, practical applications often focus on a region of interest (ROI). The long-standing interior problem is well known that an internal ROI cannot be exactly reconstruct only from truncated projection data associated with x-rays through the ROI. Although lambda tomography was developed to target gradient-like features of an internal ROI for the interior problem, it has not been well accepted in the biomedical community. On the other hand, approximate local reconstruction methods are subject to biases and artifacts. Recently, the interior problem is re-visited with appropriate prior knowledge, delivering practical results. First, the interior problem can be exactly and stably solved if a sub-region in an ROI is known. Thereafter, the sub-region knowledge can be replaced by certain rather weak constraints. For local reconstruction, a candidate image can be represented as the sum of the truth and an ambiguity component. Very surprisingly, the ROI image is prove to be the unique minimizer of the total variation (TV) or high order total variation (HOT) functional subject to the measurement, if the ROI is piece-wise constant or polynomial. Interior tomography algorithms based on HOT minimization have been developed for x-ray CT, and then extended for interior SPECT and interior differential phase-contrast tomography, respectively. In this paper, we will summarize the main theoretical and algorithmic results.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000325968800036&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Optics; Radiology, Nuclear Medicine & Medical Imaging; EI; CPCI-S(ISTP); 0
语种	英语
出处	EI ; SCI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315380]
专题	数学科学学院
推荐引用方式 GB/T 7714	Yang, Jiansheng,Yu, Hengyong,Cong, Wenxiang,et al. High Order Total Variation Method for Interior Tomography. 2012-01-01.

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