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Reflection is the mirror image of original object. S sx, sy px,py. My presentations Profile Feedback Log out.

For rotation, scaling, and shear matrices discussed laterthe original matrix is augmented with an extra row and column of zeros except for the last row,column position, which transformmation set to 1: The pair t xt y is called the translation vector or shift vector. In the scaling process, you either expand or compress the dimensions of the object.

In reflection transformation, the size of the object does not change. For a 2D coordinate system, we need: If our rotation matrix transform is R, then: Download ppt "Computer Graphics: Julia Richards and R. How to represent a vector vx,vy?

There are two shear transformations X-Shear and Y-Shear.

## 2D Transformation

Local Customization Chapter 2. We think you have liked this presentation. The basic purpose of composing transformations is to gain efficiency by applying a single composed transformation to a point, rather than applying a series of transformation, one after another.

If we provide values less than 1 to the scaling factor S, then we can reduce the size of the object. Alter the size of an object by a scaling factor Sx, Syi.

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## Computer Graphics: 2D Transformations

The change in the order of transformation would lead to different results, as in general matrix multiplication is not cumulative, that is [A]. Auth with social network: If you wish to download it, please recommend it to your friends in any social system.

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### 2D Transformation

To make this website work, we log transtormation data and share it with processors. Because, translation is not 2 by 2 matrix representation Consider how the matrix representations discussed in the previous sections can be reformulated so that such transformation sequences can be efficiently processed.

A translation moves an object to a different position on the screen. However; grwphics both the cases only one coordinate changes its coordinates and other preserves its values. Transformation means changing some graphics into something else by applying rules. T -px, -py Rotate the object: In this system, we can represent all the transformation equations in matrix multiplication. Shearing is also termed as Skewing.

When a transformation takes place trqnsformation a 2D plane, it is called 2D transformation. Therefore, our 2D rotation matrix is: To change the size of an object, scaling transformation is used.

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