IGNOU MMTE 4 2026 - Find the normalisation transformation matrix that maps the window with

Question

Find the normalisation transformation matrix that maps the window with corners at (-2,1) and (6,9) onto a normalised viewport [0, 1] × [0, 1].

06 Mar 2026

Answer :

Word Count : 185

To map a window ((x_{\text{min}}, y_{\text{min}}) = (-2, 1)) and ((x_{\text{max}}, y_{\text{max}}) = (6, 9)) onto a normalized viewport ([0,1] \times [0,1]), we use the normalization (scaling and translation) formulas: [ x' = \frac{x - x_{\text{min}}}{x_{\text{max}} - x_{\text{min}}}, \quad y' =

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