interior angle
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2019 ◽  
Vol 29 (04) ◽  
pp. 301-306
Author(s):  
Danny Rorabaugh

A planar point set is in convex position precisely when it has a convex polygonization, that is, a polygonization with maximum interior angle measure at most [Formula: see text]. We can thus talk about the convexity of a set of points in terms of its min-max interior angle measure. The main result presented here is a nontrivial upper bound of the min-max value in terms of the number of points in the set. Motivated by a particular construction, we also pose a natural conjecture for the best upper bound.





Filomat ◽  
2018 ◽  
Vol 32 (14) ◽  
pp. 5023-5036
Author(s):  
Géza Csima ◽  
Jenő Szirmai

We study the interior angle sums of translation and geodesic triangles in the universal cover of real 2 x 2 matrices with unit determinant, as, a Thurston geometry denoted by P of SL2(R)~ geometry. We prove that the angle sum ?3i =1(?i) ? ? for translation triangles and for geodesic triangles the angle sum can be larger, equal or less than ?.



2017 ◽  
Author(s):  
S. Subedi ◽  
S. Barua ◽  
M. A. Hasan ◽  
S. Saha ◽  
M. Q. Islam


2017 ◽  
Vol 25 (1) ◽  
pp. 208-216
Author(s):  
张同双 ZHANG Tong-shuang ◽  
郭敬明 GUO Jing-ming ◽  
柏 杨 BAI Yang ◽  
刘 冰 LIU Bin ◽  
周海渊 ZHOU Hai-yuan ◽  
...  


Author(s):  
BIN WANG ◽  
YAN QIU CHEN

This paper proposes a novel shape representation scheme — Interior Angle Chain (IAC) — which is invariant to translation, rotation and scaling. The proposed method first approximates the contour of a planar shape with an equilateral polygon and then makes a representation using the polygon's interior angle chain. The difference between two shapes is measured by the distance between their IAC's. An algorithm to obtain equilateral polygon approximation and its associated IAC is proposed in this paper. The proposed shape representation scheme has been tested on two benchmarks and applied to lake recognition in SAR (Synthetic Aperture Radar) images. The results show that IAC is an effective shape representation scheme.



Author(s):  
J.W. Silvestro ◽  
C.M. Butler
Keyword(s):  




1995 ◽  
Vol 390 ◽  
Author(s):  
K. Monaghan ◽  
L. Head ◽  
C. Sahay ◽  
J. Constable

ABSTRACTStencil apertures of various interior angle, i.e. angle between two sides of a polygon, are analyzed for print performance. Aperture size and sidewall taper are also examined for their individual and combined effects on printing. The results show no effect of interior angle within the bounds of the experiment. Sidewall taper becomes relevant when aperture geometry is nearly square.



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