Midterm1 Answers:

Linear Algebra:

1.) (0, -(sqrt2)/2, (sqrt2)/2)

2.) theta = 90 degrees

3.) | 0 0 1|
    | 0 0 0|
    |-2 0 0|

4.) (8,3,1)

2D Clipping:

1.)......Top..Bottom..Right..Left..
V0        0      0      0     0
V1        1      0      1     0

2.) x = 2 + 4t
    y = 4 + 5t

3.) Endpoints are:  (2,4) and (4, 6.5)

Fill Algorithms:
     _____________________
    8|_|__|_|_|_|_|_|_|_|_|
    7|_|__|_|_|_|_|_|_|_|_|
	6|_|__|_|_|_|_|_|_|_|_|
	5|_|__|_|_|_|6|_|_|_|_|
	4|_|8 |9|_|_|5|_|_|_|_|
	3|_|7 |1|2|3|4|_|_|_|_|
	2|_|10|_|_|_|_|_|_|_|_|
	1|_|11|_|_|_|_|_|_|_|_|
	0|_|__|_|_|_|_|_|_|_|_|
	  0 1  2 3 4 5 6 7 8 9

Polygon Scan Conversion:

1.)
ybucket  Edge  YMax  X  Delta X
4
3
2         A     4    2   0
1
0         C     4    1   1/4 --- B  2  1  1/2

2.)

 Line 3   C - |4|1.75|1/4| - A - |4|2|0|

Window To Viewport Transformations:

umin = 500, umax = 1000, vmin = 0, vmax = 1000
 V0 = (750, 250), V1 = (1000, 750)

 or

umin = 0, umax = 1000, vmin = 500, vmax = 1000
 V0 = (250, 250), V1 = (500,750)

Line Drawing:

1.) Could use y = mx + b
	y = 2x -1

2.) 
|..x..|..y..|F(x,y)|
|  0  |  0  |  0   |
|  1  |  0  | -6   |    
|  2  |  1  | -4   |    
|  3  |  1  | -2   |    
|  4  |  1  |  0   |