It takes 8 vertices to represent the letter N and hence, D is a 2 × 8 matrix. In addition to D, it is necessary to specify which vertices are connected by lines but we omit this detail. To obtain an italic (1 0.25) N, we perform a shear transformation A = on matrix D followed by a scaling 1 (0.75 0` transformation S = | (a) Construct the coordinate matrix D for the capital letter L in a 6 unit × 8 unit cell of line width 0.5 units. Draw your construct and label the coordinates of the vertices clearly.
It takes 8 vertices to represent the letter N and hence, D is a 2 × 8 matrix. In addition to D, it is necessary to specify which vertices are connected by lines but we omit this detail. To obtain an italic (1 0.25) N, we perform a shear transformation A = on matrix D followed by a scaling 1 (0.75 0` transformation S = | (a) Construct the coordinate matrix D for the capital letter L in a 6 unit × 8 unit cell of line width 0.5 units. Draw your construct and label the coordinates of the vertices clearly.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:It takes 8 vertices to represent the letter N and hence, D is a 2 x 8 matrix. In addition to D, it is
necessary to specify which vertices are connected by lines but we omit this detail. To obtain an italic
(1 0.25)
N, we perform a shear transformation A =
on matrix D followed by a scaling
1
(0.75 0`
transformation S = |
1
(a)
Construct the coordinate matrix D for the capital letter L in a 6 unit x 8 unit cell of line width
0.5 units. Draw your construct and label the coordinates of the vertices clearly.
Transcribed Image Text:A digital image can be manipulated with matrix multiplication. For example, the capital letter N is
displayed as eight vertices or points. Using a 6 unit x 8 unit cell, the coordinates of the vertices can be
stored in a matrix D:
Vertex: 1 2 3 4 5 6 7 8
O 0.5 6
5.5
0.5
0 5.5 6
x-coordinate
D=
0 1.58 6.42 8
8.
8
y-coordinate
line width =
0.5 units
5
8 units
1 2
3
6 units
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