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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
31

Projeto de uma arquitetura dedicada à compressão de imagens no padrão JPEG2000 / Design of a dedicated architecture to Image compression in the JPEG2000 Standard

Silva, Sandro Vilela da January 2005 (has links)
O incremento das taxas de transmissão e de armazenamento demanda o desenvolvimento de técnicas para aumentar a taxa de compressão de imagens e ao mesmo tempo mantenha a qualidade destas imagens. O padrão JPEG2000 propõe a utilização da transformada wavelet discreta e codificação aritmética para alcançar altos graus de compressão, proporcionando que a imagem resultante tenha qualidade razoável. Este padrão permite tanto compressão com perdas como compressão sem perdas, dependendo apenas do tipo de transformada wavelet utilizada. Este trabalho propõe a implementação de blocos internos em hardware para compor um compressor de imagens com perdas seguindo o padrão JPEG2000. O principal componente deste compressor de imagens é a transformada wavelet discreta irreversível em duas dimensões, que é implementada utilizando um esquema lifting a partir dos coeficientes Daubechies 9/7 descritos na literatura. Para proporcionar altas taxas de compressão para a transformada irreversível, são utilizados coeficientes reais – que são originalmente propostos em representação de ponto-flutuante. Neste trabalho, estes coeficientes foram implementados em formato de ponto-fixo arredondado, o que resulta erros que foram estimados e controlados. Neste trabalho, várias arquiteturas em hardware para a descrição da transformada wavelet discreta irreversível em duas dimensões foram implementadas para avaliar a relação entre tipo de descrição, consumo de área e atraso de propagação. A arquitetura de melhor relação custo benefício requer 2.090 células de um dispositivo FPGA, podendo operar a até 78,72 MHz, proporcionando uma taxa de processamento de 28,2 milhões de amostras por segundo. Esta arquitetura resultou em um nível de erro médio quadrático de 0,41% para cada nível de transformada. A arquitetura implementada para o bloco do codificador de entropia foi sintetizada a partir de uma descrição comportamental, gerando um hardware capaz de processar até 843 mil coeficientes de entrada por segundo. Os resultados indicam que o compressor de imagens com perdas seguindo o padrão JPEG2000, utilizando os blocos implementados nesta dissertação e operando na máxima freqüência de operação definida, pode codificar em média 1,8 milhões de coeficientes por segundo, ou seja, até 27 frames de 256x256 pixels por segundo. Esta limitação na taxa de codificação é definida pelo codificador de entropia, que possui um algoritmo mais complexo, necessitando de um trabalho complementar para melhorar sua taxa de codificação aumentando o paralelismo do hardware. / The increasing demands for higher data transmission rates and higher data storage capacity call for the development of techniques to increase the compression rate of images while at the same time keeping the image quality. The JPEG2000 Standard proposes the use of the discrete wavelet transform and of arithmetic coding to reach high compression rates, providing reasonable quality to the resulting compressed image. This standard allows lossy as well as loss-less compression, dependent on the type of wavelet transform used. This work considers the implementation of the internal hardware blocks that comprise a lossy image compressor in hardware following the JPEG2000 standard. The main component of this image compressor is the two dimensional irreversible discrete wavelet transform, that is implemented using a lifting scheme with the Daubechies 9/7 coefficients presented in the literature. To provide high compression rates for the irreversible transform, these coefficients – originally proposed in their floating-point representation – are used. In this work, they are implemented as fixed-point rounded coefficients, incurring in errors that we estimate and control. In this work, various hardware architectures for the two dimensional irreversible discrete wavelet transform were implemented to evaluate the tradeoff between the type of description, area consumption and delay. The architecture for the best trade-off requires 2,090 logic cells of a FPGA device, being able to operate up to 78.72 MHz, providing a processing rate of 28.2 million of samples per second. This architecture resulted in 0.41% of mean quadratic error for each transformed octave. The architecture implemented for the block of the entropy encoder was synthesized from a behavioral description, generating the hardware able to process up to 843 thousands of input coefficients per second. The results indicate that the lossy image compressor following JPEG2000 standard, using the blocks implemented in this dissertation and operating in the maximum clock frequency can codify, in average, 1.8 million coefficients per second, or conversely, up to 27 frames of 256x256 pixels per second. The rate-limiting step in this case is the entropy encoder, which has a more complex algorithm that needs further work to be sped up with more parallel hardware.
32

Projeto de uma arquitetura dedicada à compressão de imagens no padrão JPEG2000 / Design of a dedicated architecture to Image compression in the JPEG2000 Standard

Silva, Sandro Vilela da January 2005 (has links)
O incremento das taxas de transmissão e de armazenamento demanda o desenvolvimento de técnicas para aumentar a taxa de compressão de imagens e ao mesmo tempo mantenha a qualidade destas imagens. O padrão JPEG2000 propõe a utilização da transformada wavelet discreta e codificação aritmética para alcançar altos graus de compressão, proporcionando que a imagem resultante tenha qualidade razoável. Este padrão permite tanto compressão com perdas como compressão sem perdas, dependendo apenas do tipo de transformada wavelet utilizada. Este trabalho propõe a implementação de blocos internos em hardware para compor um compressor de imagens com perdas seguindo o padrão JPEG2000. O principal componente deste compressor de imagens é a transformada wavelet discreta irreversível em duas dimensões, que é implementada utilizando um esquema lifting a partir dos coeficientes Daubechies 9/7 descritos na literatura. Para proporcionar altas taxas de compressão para a transformada irreversível, são utilizados coeficientes reais – que são originalmente propostos em representação de ponto-flutuante. Neste trabalho, estes coeficientes foram implementados em formato de ponto-fixo arredondado, o que resulta erros que foram estimados e controlados. Neste trabalho, várias arquiteturas em hardware para a descrição da transformada wavelet discreta irreversível em duas dimensões foram implementadas para avaliar a relação entre tipo de descrição, consumo de área e atraso de propagação. A arquitetura de melhor relação custo benefício requer 2.090 células de um dispositivo FPGA, podendo operar a até 78,72 MHz, proporcionando uma taxa de processamento de 28,2 milhões de amostras por segundo. Esta arquitetura resultou em um nível de erro médio quadrático de 0,41% para cada nível de transformada. A arquitetura implementada para o bloco do codificador de entropia foi sintetizada a partir de uma descrição comportamental, gerando um hardware capaz de processar até 843 mil coeficientes de entrada por segundo. Os resultados indicam que o compressor de imagens com perdas seguindo o padrão JPEG2000, utilizando os blocos implementados nesta dissertação e operando na máxima freqüência de operação definida, pode codificar em média 1,8 milhões de coeficientes por segundo, ou seja, até 27 frames de 256x256 pixels por segundo. Esta limitação na taxa de codificação é definida pelo codificador de entropia, que possui um algoritmo mais complexo, necessitando de um trabalho complementar para melhorar sua taxa de codificação aumentando o paralelismo do hardware. / The increasing demands for higher data transmission rates and higher data storage capacity call for the development of techniques to increase the compression rate of images while at the same time keeping the image quality. The JPEG2000 Standard proposes the use of the discrete wavelet transform and of arithmetic coding to reach high compression rates, providing reasonable quality to the resulting compressed image. This standard allows lossy as well as loss-less compression, dependent on the type of wavelet transform used. This work considers the implementation of the internal hardware blocks that comprise a lossy image compressor in hardware following the JPEG2000 standard. The main component of this image compressor is the two dimensional irreversible discrete wavelet transform, that is implemented using a lifting scheme with the Daubechies 9/7 coefficients presented in the literature. To provide high compression rates for the irreversible transform, these coefficients – originally proposed in their floating-point representation – are used. In this work, they are implemented as fixed-point rounded coefficients, incurring in errors that we estimate and control. In this work, various hardware architectures for the two dimensional irreversible discrete wavelet transform were implemented to evaluate the tradeoff between the type of description, area consumption and delay. The architecture for the best trade-off requires 2,090 logic cells of a FPGA device, being able to operate up to 78.72 MHz, providing a processing rate of 28.2 million of samples per second. This architecture resulted in 0.41% of mean quadratic error for each transformed octave. The architecture implemented for the block of the entropy encoder was synthesized from a behavioral description, generating the hardware able to process up to 843 thousands of input coefficients per second. The results indicate that the lossy image compressor following JPEG2000 standard, using the blocks implemented in this dissertation and operating in the maximum clock frequency can codify, in average, 1.8 million coefficients per second, or conversely, up to 27 frames of 256x256 pixels per second. The rate-limiting step in this case is the entropy encoder, which has a more complex algorithm that needs further work to be sped up with more parallel hardware.
33

Projeto de uma arquitetura dedicada à compressão de imagens no padrão JPEG2000 / Design of a dedicated architecture to Image compression in the JPEG2000 Standard

Silva, Sandro Vilela da January 2005 (has links)
O incremento das taxas de transmissão e de armazenamento demanda o desenvolvimento de técnicas para aumentar a taxa de compressão de imagens e ao mesmo tempo mantenha a qualidade destas imagens. O padrão JPEG2000 propõe a utilização da transformada wavelet discreta e codificação aritmética para alcançar altos graus de compressão, proporcionando que a imagem resultante tenha qualidade razoável. Este padrão permite tanto compressão com perdas como compressão sem perdas, dependendo apenas do tipo de transformada wavelet utilizada. Este trabalho propõe a implementação de blocos internos em hardware para compor um compressor de imagens com perdas seguindo o padrão JPEG2000. O principal componente deste compressor de imagens é a transformada wavelet discreta irreversível em duas dimensões, que é implementada utilizando um esquema lifting a partir dos coeficientes Daubechies 9/7 descritos na literatura. Para proporcionar altas taxas de compressão para a transformada irreversível, são utilizados coeficientes reais – que são originalmente propostos em representação de ponto-flutuante. Neste trabalho, estes coeficientes foram implementados em formato de ponto-fixo arredondado, o que resulta erros que foram estimados e controlados. Neste trabalho, várias arquiteturas em hardware para a descrição da transformada wavelet discreta irreversível em duas dimensões foram implementadas para avaliar a relação entre tipo de descrição, consumo de área e atraso de propagação. A arquitetura de melhor relação custo benefício requer 2.090 células de um dispositivo FPGA, podendo operar a até 78,72 MHz, proporcionando uma taxa de processamento de 28,2 milhões de amostras por segundo. Esta arquitetura resultou em um nível de erro médio quadrático de 0,41% para cada nível de transformada. A arquitetura implementada para o bloco do codificador de entropia foi sintetizada a partir de uma descrição comportamental, gerando um hardware capaz de processar até 843 mil coeficientes de entrada por segundo. Os resultados indicam que o compressor de imagens com perdas seguindo o padrão JPEG2000, utilizando os blocos implementados nesta dissertação e operando na máxima freqüência de operação definida, pode codificar em média 1,8 milhões de coeficientes por segundo, ou seja, até 27 frames de 256x256 pixels por segundo. Esta limitação na taxa de codificação é definida pelo codificador de entropia, que possui um algoritmo mais complexo, necessitando de um trabalho complementar para melhorar sua taxa de codificação aumentando o paralelismo do hardware. / The increasing demands for higher data transmission rates and higher data storage capacity call for the development of techniques to increase the compression rate of images while at the same time keeping the image quality. The JPEG2000 Standard proposes the use of the discrete wavelet transform and of arithmetic coding to reach high compression rates, providing reasonable quality to the resulting compressed image. This standard allows lossy as well as loss-less compression, dependent on the type of wavelet transform used. This work considers the implementation of the internal hardware blocks that comprise a lossy image compressor in hardware following the JPEG2000 standard. The main component of this image compressor is the two dimensional irreversible discrete wavelet transform, that is implemented using a lifting scheme with the Daubechies 9/7 coefficients presented in the literature. To provide high compression rates for the irreversible transform, these coefficients – originally proposed in their floating-point representation – are used. In this work, they are implemented as fixed-point rounded coefficients, incurring in errors that we estimate and control. In this work, various hardware architectures for the two dimensional irreversible discrete wavelet transform were implemented to evaluate the tradeoff between the type of description, area consumption and delay. The architecture for the best trade-off requires 2,090 logic cells of a FPGA device, being able to operate up to 78.72 MHz, providing a processing rate of 28.2 million of samples per second. This architecture resulted in 0.41% of mean quadratic error for each transformed octave. The architecture implemented for the block of the entropy encoder was synthesized from a behavioral description, generating the hardware able to process up to 843 thousands of input coefficients per second. The results indicate that the lossy image compressor following JPEG2000 standard, using the blocks implemented in this dissertation and operating in the maximum clock frequency can codify, in average, 1.8 million coefficients per second, or conversely, up to 27 frames of 256x256 pixels per second. The rate-limiting step in this case is the entropy encoder, which has a more complex algorithm that needs further work to be sped up with more parallel hardware.
34

Steganography-based secret and reliable communications : improving steganographic capacity and imperceptibility

Almohammad, Adel January 2010 (has links)
Unlike encryption, steganography hides the very existence of secret information rather than hiding its meaning only. Image based steganography is the most common system used since digital images are widely used over the Internet and Web. However, the capacity is mostly limited and restricted by the size of cover images. In addition, there is a tradeoff between both steganographic capacity and stego image quality. Therefore, increasing steganographic capacity and enhancing stego image quality are still challenges, and this is exactly our research main aim. Related to this, we also investigate hiding secret information in communication protocols, namely Simple Object Access Protocol (SOAP) message, rather than in conventional digital files. To get a high steganographic capacity, two novel steganography methods were proposed. The first method was based on using 16x16 non-overlapping blocks and quantisation table for Joint Photographic Experts Group (JPEG) compression instead of 8x8. Then, the quality of JPEG stego images was enhanced by using optimised quantisation tables instead of the default tables. The second method, the hybrid method, was based on using optimised quantisation tables and two hiding techniques: JSteg along with our first proposed method. To increase the steganographic capacity, the impact of hiding data within image chrominance was investigated and explained. Since peak signal-to-noise ratio (PSNR) is extensively used as a quality measure of stego images, the reliability of PSNR for stego images was also evaluated in the work described in this thesis. Finally, to eliminate any detectable traces that traditional steganography may leave in stego files, a novel and undetectable steganography method based on SOAP messages was proposed. All methods proposed have been empirically validated as to indicate their utility and value. The results revealed that our methods and suggestions improved the main aspects of image steganography. Nevertheless, PSNR was found not to be a reliable quality evaluation measure to be used with stego image. On the other hand, information hiding in SOAP messages represented a distinctive way for undetectable and secret communication.
35

Hiding Depth Map in JPEG Image and MPEG-2 Video

Wang, Wenyi January 2011 (has links)
Digital watermarking of multimedia content has been proposed as a method for different applications such as copyright protection, content authentication, transaction tracking and data hiding. In this thesis, we propose a lossless watermarking approach based on Discrete Cosine Transform (DCT) for a new application of watermarking. A depth map obtained from a stereoscopic image pair is embedded into one of the two images using a reversible watermarking algorithm. Different from existing approaches which hide depth map in spatial domain, the depth information is hidden in the quantized DCT domain of the stereo image in our method. This modification makes the watermarking algorithm compatible with JPEG and MPEG-2 compression. After the investigation of the quantized DCT coefficients distribution of the compressed image and video, The bit-shift operation is utilized to embed the depth map into its associated 2D image reversibly for the purpose of achieving high compression efficiency of the watermarked image and/or video and high visual quality of stereo image and/or video after the depth map is extracted. We implement the proposed method to analyze its performance. The experimental results show that a very high payload of watermark (e.g. depth map) can be embedded into the JPEG compressed image and MPEG-2 video. The compression efficiency is only slightly reduced after the watermark embedding and the quality of the original image or video can be restored completely at the decoder side.
36

Development of a Remote Medical Image Browsing and Interaction System

Ye, Wei 09 July 2010 (has links)
No description available.
37

Region-based variable quantization for JPEG image compression

Golner, Mitchell Ari 01 January 1998 (has links)
No description available.
38

Vers l’anti-criminalistique en images numériques via la restauration d’images / Towards digital image anti-forensics via image restoration

Fan, Wei 30 April 2015 (has links)
La criminalistique en images numériques se développe comme un outil puissant pour l'authentification d'image, en travaillant de manière passive et aveugle sans l'aide d'informations d'authentification pré-intégrées dans l'image (contrairement au tatouage fragile d'image). En parallèle, l'anti-criminalistique se propose d'attaquer les algorithmes de criminalistique afin de maintenir une saine émulation susceptible d'aider à leur amélioration. En images numériques, l'anti-criminalistique partage quelques similitudes avec la restauration d'image : dans les deux cas, l'on souhaite approcher au mieux les informations perdues pendant un processus de dégradation d'image. Cependant, l'anti-criminalistique se doit de remplir au mieux un objectif supplémentaire, extit{i.e.} : être non détectable par la criminalistique actuelle. Dans cette thèse, nous proposons une nouvelle piste de recherche pour la criminalistique en images numériques, en tirant profit des concepts/méthodes avancés de la restauration d'image mais en intégrant des stratégies/termes spécifiquement anti-criminalistiques. Dans ce contexte, cette thèse apporte des contributions sur quatre aspects concernant, en criminalistique JPEG, (i) l'introduction du déblocage basé sur la variation totale pour contrer les méthodes de criminalistique JPEG et (ii) l'amélioration apportée par l'adjonction d'un lissage perceptuel de l'histogramme DCT, (iii) l'utilisation d'un modèle d'image sophistiqué et d'un lissage non paramétrique de l'histogramme DCT visant l'amélioration de la qualité de l'image falsifiée; et, en criminalistique du filtrage médian, (iv) l'introduction d'une méthode fondée sur la déconvolution variationnelle. Les résultats expérimentaux démontrent l'efficacité des méthodes anti-criminalistiques proposées, avec notamment une meilleure indétectabilité face aux détecteurs criminalistiques actuels ainsi qu'une meilleure qualité visuelle de l'image falsifiée par rapport aux méthodes anti-criminalistiques de l'état de l'art. / Image forensics enjoys its increasing popularity as a powerful image authentication tool, working in a blind passive way without the aid of any a priori embedded information compared to fragile image watermarking. On its opponent side, image anti-forensics attacks forensic algorithms for the future development of more trustworthy forensics. When image coding or processing is involved, we notice that image anti-forensics to some extent shares a similar goal with image restoration. Both of them aim to recover the information lost during the image degradation, yet image anti-forensics has one additional indispensable forensic undetectability requirement. In this thesis, we form a new research line for image anti-forensics, by leveraging on advanced concepts/methods from image restoration meanwhile with integrations of anti-forensic strategies/terms. Under this context, this thesis contributes on the following four aspects for JPEG compression and median filtering anti-forensics: (i) JPEG anti-forensics using Total Variation based deblocking, (ii) improved Total Variation based JPEG anti-forensics with assignment problem based perceptual DCT histogram smoothing, (iii) JPEG anti-forensics using JPEG image quality enhancement based on a sophisticated image prior model and non-parametric DCT histogram smoothing based on calibration, and (iv) median filtered image quality enhancement and anti-forensics via variational deconvolution. Experimental results demonstrate the effectiveness of the proposed anti-forensic methods with a better forensic undetectability against existing forensic detectors as well as a higher visual quality of the processed image, by comparisons with the state-of-the-art methods.
39

Détection statistique d'information cachée dans des images naturelles / Statistical detection of hidden information in natural images

Zitzmann, Cathel 24 June 2013 (has links)
La nécessité de communiquer de façon sécurisée n’est pas chose nouvelle : depuis l’antiquité des méthodes existent afin de dissimuler une communication. La cryptographie a permis de rendre un message inintelligible en le chiffrant, la stéganographie quant à elle permet de dissimuler le fait même qu’un message est échangé. Cette thèse s’inscrit dans le cadre du projet "Recherche d’Informations Cachées" financé par l’Agence Nationale de la Recherche, l’Université de Technologie de Troyes a travaillé sur la modélisation mathématique d’une image naturelle et à la mise en place de détecteurs d’informations cachées dans les images. Ce mémoire propose d’étudier la stéganalyse dans les images naturelles du point de vue de la décision statistique paramétrique. Dans les images JPEG, un détecteur basé sur la modélisation des coefficients DCT quantifiés est proposé et les calculs des probabilités du détecteur sont établis théoriquement. De plus, une étude du nombre moyen d’effondrements apparaissant lors de l’insertion avec les algorithmes F3 et F4 est proposée. Enfin, dans le cadre des images non compressées, les tests proposés sont optimaux sous certaines contraintes, une des difficultés surmontées étant le caractère quantifié des données / The need of secure communication is not something new: from ancient, methods exist to conceal communication. Cryptography helped make unintelligible message using encryption, steganography can hide the fact that a message is exchanged.This thesis is part of the project "Hidden Information Research" funded by the National Research Agency, Troyes University of Technology worked on the mathematical modeling of a natural image and creating detectors of hidden information in digital pictures.This thesis proposes to study the steganalysis in natural images in terms of parametric statistical decision. In JPEG images, a detector based on the modeling of quantized DCT coefficients is proposed and calculations of probabilities of the detector are established theoretically. In addition, a study of the number of shrinkage occurring during embedding by F3 and F4 algorithms is proposed. Finally, for the uncompressed images, the proposed tests are optimal under certain constraints, a difficulty overcome is the data quantization
40

Videoströmning från trådlöskamera / Video Streaming from WirelessCamera

Kovacs, Emilie, Abrahamsson, Joel January 2015 (has links)
Denna rapport beskriver utvecklingen av en referensdesign för en WiFi-modul från före- taget H&D Wireless. Referensdesignen skulle vara en kamera som kan skicka videodata trådlöst via den nyss nämnda WiFi-modulen. Projektet genomfördes under våren 2015 på företaget som examensarbete för Högskoleingenjörsprogrammet i elektronik och da- torteknik på KTH. Projektet delades upp i tre olika faser: en förstudiefas, en genomförbarhetsfas och en avslutande fas. I förstudiefasen gjordes en litteraturstudie som behandlade vanliga funktioner hos ex- isterande nätverkskameror, videokodningstekniker samt en något djupare studie av olika typer av bildsensorer. Förstudiefasen fortsatte med en analys av olika hårdvarulösningar som skulle kunna användas i projektet. I slutet av fasen valdes den hårdvara som skulle användas i projek- tet. Genomförbarhetsfasen gick ut på att ta reda på om den valda lösningen gick att ge- nomföra. I denna fas skedde huvudsakligen mjukvaruutveckling, under vilken testdriven utveckling tillämpades. En videobuffert samt en HTTP-server för videoströmning togs fram i denna fas. I den avslutande fasen färdigställdes projektrapporten och mjukvaruutvecklingen av- slutades. Mjukvaruutvecklingen för den valda videokodaren sköts upp på grund av att den levererades sent i projektet. I projektet användes en Scruminspirerad projektmetod. Projektmetoden upplevdes fungera bra på grund av metodens flexibilitet och påtvingande av tydliga uppgifter. Vid projektets slut kunde inte den trådlösa kameran färdigställas på grund av problem i kommunikationen med videokodaren. Om videokodaren hade kommit tidigare hade detta problem troligtvis hunnit åtgärdas innan projektets slut, men det är osäkert om implementationen hade hunnit färdigställas ändå på grund av den korta tid som fanns tillgänglig. Trots att projektet inte hann färdigställas helt har det gett många nyttiga lärdomar för framtiden. / company H&D Wireless. The reference design would be a wireless camera that can send video data wirelessly using the aforementioned WiFi-module. The project was carried out at the company during spring 2015 as a thesis project for the Degree Program in Electronics and Computer Engineering at KTH. The project was divided into three stages: a pilot study stage, a feasibility stage and a concluding stage. A literature study was performed during the pilot study stage, which described common functions in existing network cameras, techniques for video encoding and a slightly deeper study of different types of image sensors. The pilot study stage continued with an analysis of different hardware solutions which could be used in the project. The hardware solution which would be used in the project was chosen at the end of the pilot study stage. The purpose of the feasibility stage was to find out whether the chosen hardware solution would be possible to implement. This stage consisted mainly of software de- velopment, during which test driven development was practiced. A video buffer and a HTTP-server for video streaming was developed in this stage of the project. The project report was finished and the software development was wrapped up during the concluding stage. The development of the software for the chosen video encoder was delayed until the concluding stage because of its late delivery. A Scrum inspired project method was used for this project. The project method was perceived to work well in the project because of its flexibility and demand of clear tasks. The wireless camera could was not finished at the end of the project, because of problems in the communication with the video encoder. The problem could probably have been resolved before the end of the project if the video encoder had arrived earlier. It is not sure if the implementation had been possible to complete anyways because of lack of time. Although the project was not completely finished a lot of valuable knowledge was obtained for future work.

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