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Lecture 1 - Projections and Transformations (slides)

# Many of our transformations will require translation

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Unformatted text preview: make an object at the origin twice as big we could use: ! 01 0 10 1 0 001 0 10 1 x 200 x ! x 200 x @y A = @0 2 0A @y A @y 00A = @0 2 0A @y A ! z0 002 z z0 002 z ! which, when multiplied which, when multiplied gives: which, when multiplied out, out, gives: ! x00 = 2x y00 = 2y z00 = 2z Graphics Lecture 1: Slide 36! 29 / 47 Translation by Matrix multiplication Translation by Matrix multiplication Translation by matrix multiplication! Many of our transformations will require translation of the points. Many of our transformations willall For  Many ofif we transformations the points two unitsthe points. example our want to move require translation of along the • will require translation of the For example if we want to move all the points two units along the x axis we would example if we want to move all the points two points. For require x axis we would require units along the x-axis 0we would require ! x0 = x+2 x = x+2 y 00 = y y0 = y z0 = z z =z But But how we do this with awith a matrix? I.e. ! •  how can can we do this m...
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