Flatness, plateau limit and limit length of single-plateau functions

Author(s):  
Yingying Zeng ◽  
Tayyab Mahmood ◽  
Yinhe Lin ◽  
Weinian Zhang
Keyword(s):  
1997 ◽  
Vol 351 ◽  
pp. 345-357 ◽  
Author(s):  
MARK J. MARR-LYON ◽  
DAVID B. THIESSEN ◽  
PHILIP L. MARSTON

A novel method of suppressing the Rayleigh–Plateau capillary instability of a cylindrical liquid bridge is demonstrated which uses the radiation pressure of an ultrasonic wave to control the shape of the bridge. The shape of the bridge is optically sensed and the information used to control the spatial distribution of the radiation stress on the surface of the bridge. The feedback is phased so as to suppress the growth of the axisymmetric mode which normally becomes unstable when the slenderness, given by the length to diameter ratio, exceeds π. Stabilization is achieved out to a slenderness of 4.3 for a bridge density matched to the surrounding water bath in a Plateau tank. Breakup of such long bridges was found to produce a satellite drop from the receding thread of liquid. The active stabilization mechanism used may have application to other capillary systems.


2018 ◽  
Vol 12 (9) ◽  
pp. 1617-1625 ◽  
Author(s):  
Abhisek Paul ◽  
Paritosh Bhattacharya ◽  
Santi P. Maity ◽  
Bidyut Kr. Bhattacharyya

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
P. Jagatheeswari ◽  
S. Suresh Kumar ◽  
M. Mary Linda

The fundamental and important preprocessing stage in image processing is the image contrast enhancement technique. Histogram equalization is an effective contrast enhancement technique. In this paper, a histogram equalization based technique called quadrant dynamic with automatic plateau limit histogram equalization (QDAPLHE) is introduced. In this method, a hybrid of dynamic and clipped histogram equalization methods are used to increase the brightness preservation and to reduce the overenhancement. Initially, the proposed QDAPLHE algorithm passes the input image through a median filter to remove the noises present in the image. Then the histogram of the filtered image is divided into four subhistograms while maintaining second separated point as the mean brightness. Then the clipping process is implemented by calculating automatically the plateau limit as the clipped level. The clipped portion of the histogram is modified to reduce the loss of image intensity value. Finally the clipped portion is redistributed uniformly to the entire dynamic range and the conventional histogram equalization is executed in each subhistogram independently. Based on the qualitative and the quantitative analysis, the QDAPLHE method outperforms some existing methods in literature.


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