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].
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' = \frac{y - y_{\text{min}}}{y_{\text{max}} - y_{\text{min}}} __________ _____ _______ __________ _________ _____ ________ _______.
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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' = \frac{y - y_{\text{min}}}{y_{\text{max}} - y_{\text{min}}} __________ _____ _______ __________ _________ _____ ________ _______.
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