Mathematics, 24.10.2021 08:20 TheViperMlg23676
Derive the projection matrix for an image plane at z = 0 with the camera at(0,0,−1) pointing down the negative z-axis. The viewing plane is a squarewindow with height and width in the range [−1,1].Given the following coordinates of a pyramid, project the points of the pyramidonto the image plane using the projection matrix in part 1.D =0 0 −1 0 11 0 0 0 0−4 −3 −4 −5 −4(c) Plot the points as they would appear on the image plane. This will strictly bea 2D plot. Do not plot the points that would be occluded by visible faces ofthe cube.
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A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.
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Derive the projection matrix for an image plane at z = 0 with the camera at(0,0,−1) pointing down th...
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