An Automated Recognition Technique for Lung Vessel Tree Using Chest Multi-slice CT Images

Author(s):  
Hiroshi Hanaizumi
2014 ◽  
Vol 13 (08) ◽  
pp. 1450057 ◽  
Author(s):  
Maria-Laura Torrente ◽  
Mauro C. Beltrametti

We consider the problem of deciding whether or not an affine hypersurface of equation f = 0, where f = f(x1, …, xn) is a polynomial in ℝ[x1, …, xn], crosses a bounded region 𝒯 of the real affine space 𝔸n. We perform a local study of the problem, and provide both necessary and sufficient numerical conditions to answer the question. Our conditions are based on the evaluation of f at a point p ∈ 𝒯, and derive from the analysis of the differential geometric properties of the hypersurface z = f(x1, …, xn) at p. We discuss an application of our results in the context of the Hough transform, a pattern recognition technique for the automated recognition of curves in images.


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É.O. Rodrigues ◽  
L.O. Rodrigues ◽  
L.S.N. Oliveira ◽  
A. Conci ◽  
P. Liatsis

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Pedro P. Rebouças Filho ◽  
Antônio C. da Silva Barros ◽  
Geraldo L. B. Ramalho ◽  
Clayton R. Pereira ◽  
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2013 ◽  
Vol 61 (S 01) ◽  
Author(s):  
M Hamiko ◽  
M Endlich ◽  
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...  
Keyword(s):  

2019 ◽  
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...  

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