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2D Transformations Analyzed by Both Column Vector and Row Vector Synthesis

Shweta Chaku; Amrita Bhatnagar


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        <foaf:name>Shweta Chaku</foaf:name>
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            <foaf:name>Assistant Professor, Department of Cloud Computing, OPJS University Churu Rajasthan, India.</foaf:name>
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        <foaf:name>Amrita Bhatnagar</foaf:name>
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            <foaf:name>Assistant Professor, Department of Digital Image Processing and Computer Organization, IPEC engineering college GZB.</foaf:name>
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    <dct:title>2D Transformations Analyzed by Both Column Vector and Row Vector Synthesis</dct:title>
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    <dcat:keyword>2DTransformations, Homogeneous Coordinates, Rotation Scaling, Translation, Reflection</dcat:keyword>
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    <dct:issued rdf:datatype="http://www.w3.org/2001/XMLSchema#date">2020-02-29</dct:issued>
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    <dct:description>&lt;p&gt;The 2D aspects of Computer Graphics such as vector primitives and 2D transformations are important in creating 2D content. The Transformation are the effective means of shifting or changing the dimensions and orientations of images in the most effective way. If we fail to transform the object in terms of displacement ,enlargement, orientation, we may land up in creating something that is distorted and processessing a distorted object is not acceptable The usual practice of defining transformations is straight forward. The transformed object can be obtained by coupling original object with the transformation vectors .The main challenge is how to evaluate it. The usual practice is standard Column Vector form. The alternative Row Vector Form is also known approach but what matters is the sequence of operations that make these both approaches worth mentionin .While doing so our analysis on 2D content keeps our knowledge flawless and takes it a step further as far as Image Processing is concerned. Such analytical study is very vital since most of the content created, acquired, reproduced, and visualized in 2D needs to be mapped on to 3D.This paper describes the transformations(Translation,Scaling and Rotation) in the both Column and Row Vectar Approach. This paper aims in providing a clear sequence of calculations which differ in both approaches&lt;/p&gt;</dct:description>
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