scholarly journals Fractal Image Interpolation: A Tutorial and New Result

2019 ◽  
Vol 3 (1) ◽  
pp. 7
Author(s):  
Chi Kok ◽  
Wing Tam

This paper reviews the implementation of fractal based image interpolation, the associated visual artifacts of the interpolated images, and various techniques, including novel contributions, that alleviate these awkward visual artifacts to achieve visually pleasant interpolated image. The fractal interpolation methods considered in this paper are based on the plain Iterative Function System (IFS) in spatial domain without additional transformation, where we believe that the benefits of additional transformation can be added onto the presented study without complication. Simulation results are presented to demonstrate the discussed techniques, together with the pros and cons of each techniques. Finally, a novel spatial domain interleave layer has been proposed to add to the IFS image system for improving the performance of the system from image zooming to interpolation with the preservation of the pixel intensity from the original low resolution image.

2011 ◽  
Vol 103 ◽  
pp. 152-157
Author(s):  
Guang Zhi Dai ◽  
Guo Qiang Han ◽  
Chao Yi Dong

According to the unique advantages in image processing combining wavelet and fractal and the different ways of combination, a super-resolution image processing methods are proposed. The methods are characterized by combining the wavelet transform, Wavelet Image Interpolation and FBM Fractal Image interpolation in a certain way to achieve super-resolution image reconstruction. Through processing MAG welding pool images polluted by noises seriously, the results show that: the method proposed in this paper, compared with the method based on wavelet bilinear interpolation, not only effectively raises MAG welding image resolution, but also PSNR of reconstruction images are enhanced 21.1049 dB.


Sensors ◽  
2020 ◽  
Vol 20 (21) ◽  
pp. 6071
Author(s):  
Zichao Zhou ◽  
Chen Chen ◽  
Ping Lu ◽  
Stephen Mihailov ◽  
Liang Chen ◽  
...  

Random fiber gratings (RFGs) have shown great potential applications in fiber sensing and random fiber lasers. However, a quantitative relationship between the degree of randomness of the RFG and its spectral response has never been analyzed. In this paper, two RFGs with different degrees of randomness are first characterized experimentally by optical frequency domain reflectometry (OFDR). Experimental results show that the high degree of randomness leads to low backscattering strength of the grating and strong strength fluctuations in the spatial domain. The local spectral response of the grating exhibits multiple peaks and a large peak wavelength variation range when its degree of randomness is high. The linewidth of its fine spectrum structures shows scaling behavior with the grating length. In order to find a quantitative relationship between the degree of randomness and spectrum property of RFG, entropy was introduced to describe the degree of randomness induced by period variation of the sub-grating. Simulation results showed that the average reflectivity of the RFG in dB scale decreased linearly with increased sub-grating entropy, when the measured wavelength range was smaller than the peak wavelength variation range of the sub-grating. The peak reflectivity of the RFG was determined by κ2LΔP (where κ is the coupling coefficient, L is the grating length, ΔP is period variation range of the sub-grating) rather than κL when ΔP is larger than 8 nm in the spatial domain. The experimental results agree well with the simulation results, which helps to optimize the RFG manufacturing processes for future applications in random fiber lasers and sensors.


2014 ◽  
Vol 484-485 ◽  
pp. 853-855
Author(s):  
Hai Zhu Yu ◽  
Xiao Li Chai ◽  
Hua Deng

Image interpolation is widely studied and used in digital image processing. In this paper, a method of image magnification according to the properties of fractal interpolation and wavelet transformation are presented. We focus the development of edge forming methods to be applied as a post process of standard image zooming methods for grayscale images, with the hope of retaining edges. Experiments make sure it valid.


Author(s):  
V. MINNAL

As Many CADx systems have been developed to detect lung cancer based on spatial domain features that process only the pixel intensity values, the proposed scheme applies frequency transform to the lung images to extract frequency domain features and they are combined with spatial features so that the features that are not revealed in spatial domain will be extracted and the classification performance can be tuned up. The proposed CADx comprises of four stages. In the first stage, lung region is segmented using Convexity based active contour segmentation. At second stage ROIs are extracted using spatially constrained KFCM clustering. Followed by standard wavelet transforms is applied on ROI so that transform domain features are extracted with shape and haralick histogram features. Finally neural network is trained by combined feature set to identify the cancerous nodules. Our proposed scheme has shown sensitivity of 95% and specificity of 96%.


2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Lingling Zi ◽  
Junping Du

Image interpolation, as a method of obtaining a high-resolution image from the corresponding low-resolution image, is a classical problem in image processing. In this paper, we propose a novel energy-driven interpolation algorithm employing Gaussian process regression. In our algorithm, each interpolated pixel is predicted by a combination of two information sources: first is a statistical model adopted to mine underlying information, and second is an energy computation technique used to acquire information on pixel properties. We further demonstrate that our algorithm can not only achieve image interpolation, but also reduce noise in the original image. Our experiments show that the proposed algorithm can achieve encouraging performance in terms of image visualization and quantitative measures.


Fractals ◽  
2011 ◽  
Vol 19 (03) ◽  
pp. 347-354 ◽  
Author(s):  
CHING-JU CHEN ◽  
SHU-CHEN CHENG ◽  
Y. M. HUANG

This study discussed the application of a fractal interpolation method in satellite image data reconstruction. It used low-resolution images as the source data for fractal interpolation reconstruction. Using this approach, a high-resolution image can be reconstructed when there is only a low-resolution source image available. The results showed that the high-resolution image data from fractal interpolation can effectively enhance the sharpness of the border contours. Implementing fractal interpolation on an insufficient image resolution image can avoid jagged edges and mosaic when enlarging the image, as well as improve the visibility of object features in the region of interest. The proposed approach can thus be a useful tool in land classification by satellite images.


2014 ◽  
Vol 926-930 ◽  
pp. 3000-3003
Author(s):  
Xiao Ju Ma ◽  
Lin Yun Zhou ◽  
Yu Gao

This paper presents an improvement fast image interpolation algorithm, which we divided the low resolution images into smooth area, edge area and texture area based on threshold control mode, then we using three channel to achieve fast interpolation. Experiments show that this method makes the image texture details clear, won the high resolution image.


Author(s):  
Setyo Nugroho ◽  
Mohamad Riyadi

ABSTRACT In this paper , the propagation of waves with an initial condition on the foundation are varied( varying bottom ) simulated by the model Linear Shallow Water Equations ( LSWE ) 1D . 1D LSWE solution with an initial condition was approached with numerical solutions , which use spectral methods . To reduce waves so as not to repeat back to the spatial domain need to be defined damping zone. The simulation results showed that the more superficial level it will increase the amplitude of the wave . Keywords : Wave Propagation , LSWE ID , Varying Bottom , MetodeSspectral , Damping Zone


2020 ◽  
Vol 54 (1) ◽  
pp. 97-109
Author(s):  
Ki-Yin Chang ◽  
Chung-Ping Liu ◽  
Mei-Lian Huang ◽  
Jian-Hung Shen ◽  
Ji-Feng Ding

AbstractThis article proposes a novel implementation of a cloud cargo image system via Quick Response (QR) codes to reduce the amount and cost of manual unpacking examinations for export containers. First, individual cargo pictures for different owners are taken before loading. After loading, cargo scenario photos are also taken right before sealing the doors. According to the customs inspection procedure, all containers selected for checks were X-rayed. If cargo X-ray images cannot be identified by customs, the container must be unpacked for examination. In this study, customs officers can access the cargo interior photos with a voucher via its QR code. By comparing X-ray images and cargo scenario photos, the officers verify whether the inspection cargo and declared goods are consistent. Thus, the amount and cost of manual unpacking examination can be substantially reduced. Simulation results showed that, for the inspectors using the X-ray scanner with this cargo image system, overall examination performance for export containers increased by about 32%. This study further expects to provide results and findings to relevant stakeholders for reference.


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