scholarly journals Analytic functions in a neighbourhood of irregular boundary points

1976 ◽  
Vol 5 (1) ◽  
pp. 97-119
Author(s):  
Zenjiro KURAMOCHI
Keyword(s):  
Analytic Functions ◽  
Irregular Boundary ◽  
Boundary Points

scholarly journals Semiregular and strongly irregular boundary points for p-harmonic functions on unbounded sets in metric spaces

2021 ◽  
Author(s):  
Anders Björn ◽  
Daniel Hansevi
Keyword(s):  
Harmonic Functions ◽  
Metric Spaces ◽  
Poincaré Inequality ◽  
Doubling Measure ◽  
Poincare Inequality ◽  
Irregular Boundary ◽  
Complete Metric Spaces ◽  
Boundary Points ◽  
Local Properties ◽  
Harmonic Measures

AbstractThe trichotomy between regular, semiregular, and strongly irregular boundary points for $$p$$ p -harmonic functions is obtained for unbounded open sets in complete metric spaces with a doubling measure supporting a $$p$$ p -Poincaré inequality, $$1<p<\infty $$ 1 < p < ∞ . We show that these are local properties. We also deduce several characterizations of semiregular points and strongly irregular points. In particular, semiregular points are characterized by means of capacity, $$p$$ p -harmonic measures, removability, and semibarriers.

Singular boundary points of analytic functions

1980 ◽  
Vol 28 (6) ◽  
pp. 859-864
Author(s):  
S. V. Kolesnikov
Keyword(s):  
Analytic Functions ◽  
Singular Boundary ◽  
Boundary Points

A Method of Detecting Circle by Improved Hough Transform

2012 ◽  
Vol 542-543 ◽  
pp. 639-642
Author(s):  
Xue Feng Wu ◽  
Yu Fan
Keyword(s):  
Approximate Method ◽  
Hough Transform ◽  
Small Proportion ◽  
Optimal Estimation ◽  
Estimation Of Parameters ◽  
Irregular Boundary ◽  
Boundary Circle ◽  
Generalized Hough Transform ◽  
Boundary Points ◽  
New Algorithms

A new algorithms for parameters of an image irregular boundary circle parameters is presented, which is based on “Curve-Approximate Method” .For a set of an image circle boundary points by image pre-processing, firstly this paper introduces a substitute variant curve approximate reputably while picking out the irregular boundary points in all points, until to fit the terminate condition. Finally, it succeeds to get the optimal estimation of parameters of a circle. Example show that the algorithms runs more quickly and automatically than traditional generalized hough transform, and a good result is obtained if the irregular boundary points is small proportion in all points of a circle.

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