Shape Reconstruction with A Priori Knowledge Based on Integral Invariants

2012 ◽  
Vol 5 (2) ◽  
pp. 726-745 ◽  
Author(s):  
Thomas Fidler ◽  
Markus Grasmair ◽  
Otmar Scherzer
Author(s):  
Yusuke Nakajima ◽  
Syoji Kobashi ◽  
Yohei Tsumori ◽  
Nao Shibanuma ◽  
Fumiaki Imamura ◽  
...  

2017 ◽  
Vol 77 (14) ◽  
pp. 17889-17911 ◽  
Author(s):  
Sai Ma ◽  
Xianfeng Zhao ◽  
Qingxiao Guan ◽  
Zhoujun Xu ◽  
Yi Ma

2017 ◽  
Vol 2017 (7) ◽  
pp. 16-21
Author(s):  
Sai Ma ◽  
Xianfeng Zhao ◽  
Qingxiao Guan ◽  
Chengduo Zhao

Philosophy ◽  
2008 ◽  
Vol 83 (1) ◽  
pp. 89-111 ◽  
Author(s):  
M. Giaquinto

AbstractThis paper presents considerations against the linguistic view of a priori knowledge. The paper has two parts. In the first part I argue that problems about the individuation of lexical meanings provide evidence for a moderate indeterminacy, as distinct from the radical indeterminacy of meaning claimed by Quine, and that this undermines the idea of a priori knowledge based on knowledge of synonymies. In the second part of the paper I argue against the idea that a priori knowledge not based on knowledge of synonymies can be explained in terms of implicit definitions.1


2013 ◽  
Vol 40 (17) ◽  
pp. 6863-6876 ◽  
Author(s):  
Bindi Chen ◽  
Peter C. Matthews ◽  
Peter J. Tavner

2019 ◽  
Vol 68 (10) ◽  
pp. 9466-9477 ◽  
Author(s):  
Ying Zhang ◽  
Guohui Tian ◽  
Jiaxing Lu ◽  
Mengyang Zhang ◽  
Senyan Zhang

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
M. N. Akıncı ◽  
T. Çağlayan ◽  
S. Özgür ◽  
U. Alkaşı ◽  
M. Abbak ◽  
...  

Shape reconstruction methods are particularly well suited for imaging of concealed targets. Yet, these methods are rarely employed in real nondestructive testing applications, since they generally require the electrical parameters of outer object as a priori knowledge. In this regard, we propose an approach to relieve two well known shape reconstruction algorithms, which are the linear sampling and the factorization methods, from the requirement of the a priori knowledge on electrical parameters of the surrounding medium. The idea behind this paper is that if a measurement of the reference medium (a medium which can approximate the material, except the inclusion) can be supplied to these methods, reconstructions with very high qualities can be obtained even when there is no information about the electrical parameters of the surrounding medium. Taking the advantage of this idea, we consider that it is possible to use shape reconstruction methods in buried object detection. To this end, we perform several experiments inside an anechoic chamber to verify the approach against real measurements. Accuracy and stability of the obtained results show that both the linear sampling and the factorization methods can be quite useful for various buried obstacle imaging problems.


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