Vector Generation of Reflection and Shearing of 2D Objects: Sequencing in Column Major and Row Major Pattern

Abstract

Transformations are the best and effective techniques of producing changed objects in terms of Displacement, Enlargements and Orientations. In other words the Transformation are the most challenging way of shifting or changing the dimensions and orientations of images in the most effective way.But This modifying and repositikoning of the existing images is calculated by a standard convention of Matrix Calculations.The usual practice of doing so is straight forward. The transformed object can be obtained by coupling (Matrix Multiplication) original object Matrix with the transformation vectors. The main challenge is how to evaluate it. The usual practice is standard Column Major Pattern. The alternative Row Major Pattern is also known approach but what matters is the sequence of operations that make these both approaches worth mentioning.Visualization can be enhanced if either of the approach is adopted. But what makes it more exciting is the calculations that come with both of these approaches. A normal practice is to use the standard Column Major Pattern for processing objects .An Alternative to this Technique is Row Major Pattern which equates to the same result only if sequence of operations are not compromised. This paper describes the transformation (Reflection and Shearing) in both Column and Row Major Pattern and at the same time aims in putting down clear semantics in justifying the sequence of operations.