Assignment 5

Due: Monday, August 3, 2015

Submit in eLearning by 10pm

This assignment must be submitted in eLearning by the date and time indi-cated. No late assignments will be accepted. Submit a single ZIP folder withMatlab files, Word file or scanned PDF file of handwritten work. Label filesappropriately so they can be easily identified. Show all your work to receivecredit.

1. Determine the isometric projection of a unit cube centered about theorigin using = 45 and = 35.26. Provide a table of the projectedcoordinates (xv, yv) of all eight vertices in the viewing coordinate system(VCS). Create a plot in Matlab of the projected cube in the xy-plane ofthe VCS making sure to label the coordinate axes and vertices.

2. Determine the orthographic projection of the rotated cube of Assign-ment 4, Problem 2 on the XZ-plane (TOP view). Provide a table ofthe projected coordinates (xv, yv) of all eight vertices in the viewing co-ordinate system (VCS). Create a plot in Matlab of the projected cube inthe xy-plane of the VCS making sure to label the coordinate axes andvertices.

3. Determine the perspective projection of the rotated cube of Assignment4, Problem 2 where the center of projection (COP) is located on thez-axis at the point (0, 0, 5). Provide a table of the projected coordinates(xv, yv) of all eight vertices in the viewing coordinate system (VCS). Cre-ate a plot in Matlab of the projected cube in the xy-plane of the VCSmaking sure to label the coordinate axes and vertices.

4. Determine a single 4 4 matrix that transforms a circle centered at theorigin with radius r = 1

2to an ellipse centered at the point (2, 1, 0), has

major axis a = 1 and minor axis b = 12. The major axis of the ellipse is

1

oriented at 45 relative to the X-axis. The circle and ellipse are on thexy-plane. Show all your work to receive credit.

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