PDE-Based Image Processing

Author(s):  
Rajeev Srivastava

This chapter describes the basic concepts of partial differential equations (PDEs) based image modelling and their applications to image restoration. The general basic concepts of partial differential equation (PDE)-based image modelling and processing techniques are discussed for image restoration problems. These techniques can also be used in the design and development of efficient tools for various image processing and vision related tasks such as restoration, enhancement, segmentation, registration, inpainting, shape from shading, 3D reconstruction of objects from multiple views, and many more. As a case study, the topic in consideration is oriented towards image restoration using PDEs formalism since image restoration is considered to be an important pre-processing task for 3D surface geometry, reconstruction, and many other applications. An image may be subjected to various types of noises during its acquisition leading to degraded quality of the image, and hence, the noise must be reduced. The noise may be additive or multiplicative in nature. Here, the PDE-based models for removal of both types of noises are discussed. As examples, some PDE-based schemes have been implemented and their comparative study with other existing techniques has also been presented.

2013 ◽  
pp. 569-607
Author(s):  
Rajeev Srivastava

This chapter describes the basic concepts of partial differential equations (PDEs) based image modelling and their applications to image restoration. The general basic concepts of partial differential equation (PDE)-based image modelling and processing techniques are discussed for image restoration problems. These techniques can also be used in the design and development of efficient tools for various image processing and vision related tasks such as restoration, enhancement, segmentation, registration, inpainting, shape from shading, 3D reconstruction of objects from multiple views, and many more. As a case study, the topic in consideration is oriented towards image restoration using PDEs formalism since image restoration is considered to be an important pre-processing task for 3D surface geometry, reconstruction, and many other applications. An image may be subjected to various types of noises during its acquisition leading to degraded quality of the image, and hence, the noise must be reduced. The noise may be additive or multiplicative in nature. Here, the PDE-based models for removal of both types of noises are discussed. As examples, some PDE-based schemes have been implemented and their comparative study with other existing techniques has also been presented.


2019 ◽  
Vol 29 (1) ◽  
pp. 1226-1234
Author(s):  
Safa Jida ◽  
Hassan Ouallal ◽  
Brahim Aksasse ◽  
Mohammed Ouanan ◽  
Mohamed El Amraoui ◽  
...  

Abstract This work intends to apprehend and emphasize the contribution of image-processing techniques and computer vision in the treatment of clay-based material known in Meknes region. One of the various characteristics used to describe clay in a qualitative manner is porosity, as it is considered one of the properties that with “kill or cure” effectiveness. For this purpose, we use scanning electron microscopy images, as they are considered the most powerful tool for characterising the quality of the microscopic pore structure of porous materials. We present various existing methods of segmentation, as we are interested only in pore regions. The results show good matching between physical estimation and Voronoi diagram-based porosity estimation.


2013 ◽  
Vol 658 ◽  
pp. 551-554
Author(s):  
Xiao Dong Wang ◽  
Bo Liu ◽  
Xiao Wei Chen ◽  
Wei Zhang ◽  
Zhi Gang Guo

For liquefied gas valve external thread detections, the gauges traditional external thread detection. Although this method simply, easy to operate, but the detection process in contact with the thread and thus cannot guarantee the quality of the thread and the low detection efficiency. The external thread detection of liquefied gas valve based on image processing techniques adopts a non-contact detection. CCD camera collects image of the external thread and transmitted to the computer by the acquisition board. Thus image preprocessing, image segmentation and then get the thread edge contour. Finally, Matched thread profile .By comparing with the standard size tape to determine eligibility. The experimental results show that this method is feasible.


Author(s):  
Vijay Sonawane ◽  
Nikhil Gaikwad ◽  
Hrushikesh Mandekar ◽  
Kishore Baradkar ◽  
Chetan Gunjal

More than half the world's people consume rice every day and fulfills over 21% calorific requirement of world population. It is considered the whole grain which is rich in fiber and it contains 80 percent with protein, phosphorus, and potassium. There are hundreds of different varieties of rice and each rice grain has a unique shape, texture, and flavor that make it just right for certain dishes. The quality of rice between various types has different standards. Therefore, you must select the best quality rice because rice with best quality is not only good for consumption but also good for health. Analyzing grain sample manually is a tedious task and also time consuming. The paper presents the solution to analysis and grading of rice grains using image processing techniques. Image reduction, image enhancement, and image increment, object recognition in spatial domain is applied on grain by grain of different samples of rice to determine its size, color and quality as whole to grade the grain of rice. We find the endpoints of each grains and after we measure the length and breadth of rice grains.


2021 ◽  
Vol 15 ◽  
pp. 56-60
Author(s):  
Juan D. Pérez ◽  
Diego A. Hincapié ◽  
Jonathan A. Graciano

Thanks to the fact that nowadays substantial progress has been made in new ways of analyzing our environment using image processing techniques, it is imperative to highlight the importance of applying this methodology to mechanisms, which are our object of study and these elements are present in various sectors, such as industrial, automotive, academic, etc. In the previously mentioned sectors, the mechanisms are a fundamental element for the correct operation of the devices that each sector has. Therefore, knowing the dynamic behavior of the mechanisms is an essential task, since, if any type of failure occurs, it could cause damage to an entire process. The article proposes to develop a methodology that allows the analysis of dynamic variables in different types of mechanisms, through the use of image processing techniques specifically the detection, filtering and tracking of objects, using filters such as the Gaussian filter and background subtraction in order to improve the quality of the information to be analyzed. The results obtained through the application of the proposed methodology were compared with a simulation of a CAD/CAM/CAE software, in this case Siemens NX 12®, these results were satisfactory under certain criteria that will be exposed in the analysis section, thanks to this it can be affirmed that the proposed methodology is acceptable at the time of knowing the dynamic variables in mechanisms


2020 ◽  
Vol 2 (2) ◽  
pp. 77-84
Author(s):  
Dr. Dhaya R.

The latest advertisements on the advancements of the virtual reality has paved way for diverse studies, in manifold fields that can benefit by utilizing the technologies of the virtual reality, not excluding the design, gaming and the simulated understanding. Yet whenever a virtual reality device conveys information in form of images with the assistance of the display that is positioned closer to the user’s eyes it faces problems like minimizing the speed of the process and degradation in the quality of images ending up in huge variations across the virtual realism and the realism causing user immersion problems. So to mitigate the immersion problems of the user because of the low quality of image and the minimization of processing speed in the virtual reality environments the paper puts forth an improved image processing technique to improvise the sharpness of the images in order to enhance quality of the images and heighten the processing speed.


Author(s):  
Kartik Ramanujachar

Abstract This paper describes the use of image processing techniques in metrology and failure analysis with the help of three case studies. The first study concerns a technique that significantly automates the process and hence enables both a rapid and accurate extraction of cumulative distribution function for transistor CD through the use of edge detection and quantification of image intensities. The second study is about utilizing a cross correlation algorithm and an appropriately chosen sample and image to estimate the "on image" spatial resolution of an scanning electron microscope. The last case study uses image data acquired with an atomic force microscope. The paper describes how information theoretic concepts like entropy and mutual information combined with image segmentation and nearest neighbor extraction can be used to isolate those regions of the AFM scan that can potentially benefit from further analysis.


2021 ◽  
Vol 11 (10) ◽  
pp. 2538-2545
Author(s):  
P. Geetha ◽  
S. Nagarani

Different processing of the images, such as the image captured, saved and retrieved from another use of the specific image, must be restructured in various ways in the process. More methods such as image restoration, picture segmentation, improvement of the picture etc can be used when processing images. Reconstructed in 3D picture 2D pictures are need to be proper. Including geometric wavelets and geometric analysis the structural work focused upon a variational and a selectable differential equation to test PDE’s which is a convergence of stochastic modelling and analysis of harmonics. This paper focuses primarily on the critical reviews of the image segmentation collection with the PDE application as a mathematical method and introduces the key tool of mathematics and techniques along with the literature-based analysis.


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