Page 38 | Table of Contents | Index | Page 40 |

Chapters | |||

1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30A, B, C, D, E |

system, otherwise returns

considered reflections even if they distort, scale, or skew the coordinate system, as long as they

invert the handedness.

Returns

object, that is, as a combination of translations, rotations, and pure reflections. Otherwise, it

returns

Rigid transformations are the most general category of transformations that preserve magnitudes

of all lengths and angles.

Returns

same magnitude, otherwise returns

horizontal lines.

Returns

all

as a subset.

Returns

gle into another axis-aligned rectangle, otherwise returns

as a subset, and also includes 90 degree rotations.

Rectilinear transformations are the most general category of transformations for which the

bounding rectangle of a transformed object can be found by transforming the bounding rectangle

of the original object.

**Minor issue: ****Supply this figure. | SWM
**

nate system, we can regard the resulting transformation as a single transformation resulting from

transformations that they are closed under composition. Note that composition is not commu-

tative; in general, the result of applying transformation

Page 38 | Table of Contents | Index | Page 40 |

Chapters | |||

1,
2,
3,
4,
5,
6,
7,
8,
9,
10,
11,
12,
13,
14,
15,
16,
17,
18,
19,
20,
21,
22,
23,
24,
25,
26,
27,
28,
29,
30A, B, C, D, E |