Complete surfaces in H 3 with a constant principal curvature

1989 ◽  
pp. 176-182
Author(s):  
Zhisheng Ma
Keyword(s):  
Principal Curvature ◽  
Complete Surfaces

Complete surfaces in the hyperbolic space with a constant principal curvature

2005 ◽  
Vol 278 (10) ◽  
pp. 1111-1116 ◽  
Author(s):  
Juan A. Aledo ◽  
José A. Gálvez
Keyword(s):  
Hyperbolic Space ◽  
Principal Curvature ◽  
Complete Surfaces

scholarly journals Principal Curvature-Based Region Detector for Object Recognition

2007 ◽  
Author(s):  
Hongli Deng ◽  
Wei Zhang ◽  
Eric Mortensen ◽  
Thomas Dietterich ◽  
Linda Shapiro
Keyword(s):  
Object Recognition ◽  
Principal Curvature

A Note on Elastic Surface Deformation

1951 ◽  
Vol 18 (3) ◽  
pp. 251-252
Author(s):  
Murray Kornhauser
Keyword(s):  
Principal Curvature ◽  
Surface Deformation ◽  
The Other ◽  
Elastic Surface ◽  
Elastic Bodies

Abstract Surface deformation of elastic bodies having the same modulus is treated by the standard texts on elasticity, but the applicability of the solution is limited to the range of the tables of coefficients presented. This note extends the tables to cover the range that applies to bodies having one principal curvature much larger than the other. Some inaccuracy in the tables in current use also is noted. The reader is referred to any good text on elasticity for a general discussion of this problem.

scholarly journals Some properties of Grauert type surfaces

2017 ◽  
Vol 28 (08) ◽  
pp. 1750063 ◽  
Author(s):  
Samuele Mongodi ◽  
Zbigniew Slodkowski ◽  
Giuseppe Tomassini
Keyword(s):  
Convex Space ◽  
Level Sets ◽  
Double Cover ◽  
Classification Theorem ◽  
Stein Space ◽  
Pluriharmonic Function ◽  
Exhaustion Function ◽  
Real Analytic ◽  
Complete Surfaces

In a previous work, we classified weakly complete surfaces which admit a real analytic plurisubharmonic exhaustion function; we showed that, if they are not proper over a Stein space, then they admit a pluriharmonic function, with compact Levi-flat level sets foliated with dense complex leaves. We called these Grauert type surfaces. In this note, we investigate some properties of these surfaces. Namely, we prove that the only compact curves that can be contained in them are negative in the sense of Grauert and that the level sets of the pluriharmonic function are connected, thus completing the analogy with the Cartan–Remmert reduction of a holomorphically convex space. Moreover, in our classification theorem, we had to pass to a double cover to produce the pluriharmonic function; the last part of the present paper is devoted to the construction of an example where passing to a double cover cannot be avoided.

scholarly journals Chern–Osserman type equality for complete surfaces inRn

2018 ◽  
Vol 129 ◽  
pp. 117-124
Author(s):  
Qing Chen ◽  
Wenjie Yang
Keyword(s):  
Complete Surfaces

scholarly journals BLOOD VESSELS SEGMENTATION METHOD FOR RETINAL FUNDUS IMAGES BASED ON ADAPTIVE PRINCIPAL CURVATURE AND IMAGE DERIVATIVE OPERATORS

2019 ◽  
Vol XLII-2/W12 ◽  
pp. 211-218 ◽  
Author(s):  
D. N. H. Thanh ◽  
D. Sergey ◽  
V. B. Surya Prasath ◽  
N. H. Hai
Keyword(s):  
Blood Vessels ◽  
Principal Curvature ◽  
Adult Population ◽  
Ground Truth ◽  
Common Disease ◽  
Fundus Images ◽  
Central Difference ◽  
Contour Matching ◽  
Retinal Fundus Images ◽  
Retinal Fundus

<p><strong>Abstract.</strong> Diabetes is a common disease in the modern life. According to WHO’s data, in 2018, there were 8.3% of adult population had diabetes. Many countries over the world have spent a lot of finance, force to treat this disease. One of the most dangerous complications that diabetes can cause is the blood vessel lesion. It can happen on organs, limbs, eyes, etc. In this paper, we propose an adaptive principal curvature and three blood vessels segmentation methods for retinal fundus images based on the adaptive principal curvature and images derivatives: the central difference, the Sobel operator and the Prewitt operator. These methods are useful to assess the lesion level of blood vessels of eyes to let doctors specify the suitable treatment regimen. It also can be extended to apply for the blood vessels segmentation of other organs, other parts of a human body. In experiments, we handle proposed methods and compare their segmentation results based on a dataset – DRIVE. Segmentation quality assessments are computed on the Sorensen-Dice similarity, the Jaccard similarity and the contour matching score with the given ground truth that were segmented manually by a human.</p>

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