Q1: consider the algorithm below, Step 1: Input the two line endpoints, storing the left endpoint in (X1, Y1) and Right endpoint in (X2, Y2) Step 2: Step 3: Plot the point (X1, Y1) Calculate the constants, Ax, Ay, 2Ay and (2Ay - 2Ax) and get the first value for the decision parameter as: Po - 2Ay - Ax At each Xk along the line, starting at K-0, perform the following test: if Pk < 0, the next point to plot is (Xx+1, Yk) and Pk+1 - Pk + 2Ay Step 4: Otherwise the next point to plot is (Xx+1, Yk+1) and: Pk+1 - Pk+ 2Ay - 2Ax Step 5: Repeat step 4, Ax times. Explain each step then compare it with DDA algorithm. Q2: use the necessary transformation to generate figure3 from figure2. (4,3) (7,3) (0,3) (3,3) (-2,0) (1,0) Figure 3 Figure 2 Q3:Use the necessary transformation to generate Figure2 from Figurel. (2, 2) (0, 2) (1,3) (3,3) (0,0) (2,0) (-2,0) (1,1) (3,1) (0,-2) (2,-2) Figure 1 Figure 2

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Q1: consider the algorithm below,
Step 1:
Input the two line endpoints, storing the left endpoint in (Xs, Y1)
and Right endpoint in (X2, Y2)
Plot the point (X1, Y1)
Calculate the constants, Ax, Ay, 2Ay and (2Ay - 2Ax) and get the
first value for the decision parameter as:
Step 2:
Step 3:
Po = 2Ay - Ax
Step 4:
At each Xk along the line, starting at K=0, perform the following
test: if Pk < 0, the next point to plot is (X+1, Yk) and
Pk+1 - Pk + 2Ay
Otherwise the next point to plot is (X+1, Yk+1) and:
Pk+1 = Pk + 2Ay - 2Ax
Step 5:
Repeat step 4, Ax times.
Explain each step then compare it with DDA algorithm.
Q2: use the necessary transformation to generate figure3 from figure2.
(4,3)
(7,3)
(0,3)
(3,3)
(-2,0)
(1,0)
Figure 3
Figure 2
Q3:Use the necessary transformation to generate Figure2 from Figurel.
(2, 2)
(0, 2)
(1,3)
(3,3)
(0,0)
(2,0)
(-2,0)
(1,1)
(3,1)
(0,-2)
(2,-2)
Figure 1
Figure 2
Transcribed Image Text:Q1: consider the algorithm below, Step 1: Input the two line endpoints, storing the left endpoint in (Xs, Y1) and Right endpoint in (X2, Y2) Plot the point (X1, Y1) Calculate the constants, Ax, Ay, 2Ay and (2Ay - 2Ax) and get the first value for the decision parameter as: Step 2: Step 3: Po = 2Ay - Ax Step 4: At each Xk along the line, starting at K=0, perform the following test: if Pk < 0, the next point to plot is (X+1, Yk) and Pk+1 - Pk + 2Ay Otherwise the next point to plot is (X+1, Yk+1) and: Pk+1 = Pk + 2Ay - 2Ax Step 5: Repeat step 4, Ax times. Explain each step then compare it with DDA algorithm. Q2: use the necessary transformation to generate figure3 from figure2. (4,3) (7,3) (0,3) (3,3) (-2,0) (1,0) Figure 3 Figure 2 Q3:Use the necessary transformation to generate Figure2 from Figurel. (2, 2) (0, 2) (1,3) (3,3) (0,0) (2,0) (-2,0) (1,1) (3,1) (0,-2) (2,-2) Figure 1 Figure 2
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