Aspire Faculty ID #18734 · Topic: UGC NET Computer Science Sep 2022 (Paper II) · Just now
UGC NET Computer Science Sep 2022 (Paper II)

This transformation is called$\left[\matrix{\bar{x}\cr \bar{y}\cr \bar{z}\cr \bar{w}}\right]=\left[\matrix{a_1\quad b_1\quad c_1\quad d_1\cr a_2\quad b_2\quad c_2\quad d_2\cr a_3\quad b_3\quad c_3\quad d_3\cr e\quad f\quad g\quad h}\right]\left[\matrix{x\cr y\cr z\cr 1}\right]$

Solution

The given equation represents a transformation using homogeneous coordinates.Here, the original point is written as:$\left[\matrix{x\cr y\cr z\cr 1}\right]$After transformation, it becomes:$\left[\matrix{\bar{x}\cr \bar{y}\cr \bar{z}\cr \bar{w}}\right]$The transformation is done by multiplying the point with a general $4\times4$ matrix.A general homogeneous coordinate transformation matrix can represent projective transformation.Such a projective transformation is called Homography.Now check the options:Scaling is used only to increase or decrease the size of an object.Shear is used only to slant the shape of an object.Steganography is not a transformation. It is a technique of hiding information.Homography is the correct term for this type of general homogeneous/projective transformation.

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