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Lab on Computer Graphics Kumar Vishal, Lovely Professional University
Notes Unit 10: Shearing
CONTENTS
Objectives
Introduction
10.1 Shearing
10.1.1 The X-Shear Transformation
10.1.2 The Y-shear Transformation
10.1.3 The Z-shear Transformation
10.1.4 2D Transformations
10.2 Rotation
10.3 Reflection
10.3.1 2D Transformations Such As Reflection Algorithms
10.4 Summary
10.5 Keywords
10.6 Review Questions
10.7 Further Readings
Objectives
After studying this unit, you will be able to:
• Define shearing with C programming
• Explain rotation with C programming
• Describe reflection with C programming
Introduction
A shearing transformation revolves one axis in order that the x-axis and y-axis are no longer
perpendicular. The coordinates of the node are moved by the specified multipliers. To shear,
use the Shear class or the shear function of the Transform class. In the Xylophone application,
you can shear the xylophone by pulling the mouse while holding Shift and pressing the left
mouse button.
10.1 Shearing
Shearing transformations in three-dimensions alter two of the three coordinate values
proportionally to the value of the third coordinate.
10.1.1 The X-Shear Transformation
, )
Given a frame F = (, ,uv wO we “x-shear” a frame by modifying the first vector of the frame
by including to it a linear arrangement of the other two vectors. The frame transformation takes
the following form:
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