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Unit 8: Implementing of Scaling in 2D Transformation
            Kumar Vishal, Lovely Professional University


               Unit 8: Implementing of Scaling in 2D Transformation                               Notes



             CONTENTS

             Objectives
             Introduction
             8.1   2D Transformation
                  8.1.1  Translations
                  8.1.2  Scaling
                  8.1.3  Rotation
                  8.1.4  Shear
             8.2   Concept of Implementing of Scaling in 2D Transformation
                  8.2.1  Scaling
                  8.2.2   Scaling Matrix
                  8.2.3   2D Scaling From the Origin
                  8.2.4   Scaling about a Particular Point
                  8.2.5   Write a C Program to Implement 2D Transformations

                  8.2.6   Homogeneous Coordinates
                  8.2.7   Transformation 2D (Scaling, Translation, Rotation)
                  8.2.8   Combining Transformations
                  8.2.9   Transformation between Translation and Scale
                  8.2.10  Concatenation of Scales
                  8.2.11  Other Properties of Scaling
                  8.2.12  Conclusion: 2D Transformations
             8.3  Summary
             8.4  Keywords
             8.5   Review Questions
             8.6   Further Readings

            Objectives


            After studying this chapter, you will be able to:
               •  Use transformation techniques to scale
               •  Define the 2D scaling from the origin

               •  Discuss the scaling about a particular point
               •  Describe the transformation between translation and scale
               •  Discuss the different functions of transformation

               •  Discuss homogeneous form of scale
               •  Discuss the transformation between translation and scale
               •  Describe the properties of scaling


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