Computer Science 184 - Fall 1992 - Barsky - Midterm 1

Computer Science 184 - Fall 1992 - Barsky - Midterm 1 -...

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CS184 Midterm 1 (Fall 1992) UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences Coputer Science Division Computer Science 184 - Computer Graphics Fall 1992 - Midterm Exam Professor Brian A Barksy TAs: Mark Halstead and Dan Garcia Page 1 Question 1: Transformations [20 points] Figure 1 shows a triangle ABC transformed by a transformation matrix T to a new position PQR. Figure 1 file:///C|/Documents%20and%20Settings/Jason%20Raft. ..-%20Fall%201992%20-%20Barsky%20-%20Midterm%201.htm (1 of 7)1/27/2007 5:24:02 PM
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CS184 Midterm 1 (Fall 1992) A) Write down the transformation matrix T . Show all work. [17 points] B) If the problem was to compute the inverse matrix T -1 , i.e. if the original triangle was PQR which gets transformed by T -1 to ABC, is there enough information to compute all the elements of T -1 ? [3 points] Answer 1: Transformations Page 2 Question 2: Scan Conversion [20 points] A) For each of the 18 regions labeled a-r in figure 2, fill in the chart below with the words "IN" or "OUT" which represent what the particular scan conversion rule (odd/even vs. non-zero winding) would conclude about that region. [13 points] Figure 2 B) What is the minimum number of edges a polygon would need so that the non-zero winding rule and odd/even rule have differenet answers for a particular region of a polygon? Draw it, highlight the region wich is labeled differently and tell which rule labeled it in and which one out. [7 points] Answer 2: Scan Conversion
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Computer Science 184 - Fall 1992 - Barsky - Midterm 1 -...

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