scholarly journals A research on defect image enhancement based on partial differential equation of quantum mechanics

2017 ◽  
Vol 111 ◽  
pp. 237-244 ◽  
Author(s):  
Zhonghua Wang ◽  
Guiying Chi ◽  
Jun Guo
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Quantum Mechanics ◽  
Image Enhancement ◽  
Partial Differential ◽  
Defect Image

GENERATING SHAPE INVARIANT POTENTIALS

2008 ◽  
Vol 23 (31) ◽  
pp. 4959-4978 ◽  
Author(s):  
ASIM GANGOPADHYAYA ◽  
JEFFRY V. MALLOW
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Quantum Mechanics ◽  
Supersymmetric Quantum Mechanics ◽  
New Method ◽  
Invariance Condition ◽  
Partial Differential ◽  
Shape Invariance ◽  
Shape Invariant

We transform the shape invariance condition, a difference-differential equation of supersymmetric quantum mechanics, into a local partial differential equation. We develop a new method for generating translationally shape invariant potentials from this equation. We generate precisely all the known shape invariant potentials, and argue that there are unlikely to be others.

scholarly journals Recognition of High Difference Features in Urban Planning Images Based on Morphological Filtering

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Peipei Liu
Keyword(s):  
Differential Equation ◽  
Image Processing ◽  
Partial Differential Equation ◽  
Urban Planning ◽  
Image Enhancement ◽  
Feature Recognition ◽  
Human Life ◽  
Image Feature ◽  
Human Beings ◽  
Partial Differential

As an effective information carrier, image is the main source for human beings to obtain and exchange information. Therefore, the application field of image processing involves all aspects of human life and work. Image enhancement is an important part of image processing and plays an important role in the whole process of image processing. This paper mainly studies the image enhancement method based on partial differential equation. By analysing the combination of partial differential equation theory and enhancement, aiming at the shortcomings of low recognition accuracy, high error rate, and long time consuming in the current method of urban planning image feature recognition, a feature enhancement and simulation of urban planning image based on partial differential equation method is proposed; the preprocessing of urban planning image is realized by collecting the urban planning image. On the basis of preprocessing the urban planning image, the urban planning image is divided into several equal area subareas; the pixel gray value of each subarea and the average value of pixel distribution density of node landscape image are calculated; and whether the pixel points are at the edge of urban planning image is judged by setting the comprehensive mean threshold. According to the judgment results, the high difference features of urban planning images are intelligently recognized. Simulation results show that the proposed method can realize efficient and accurate recognition of high difference features in urban planning images.

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