Contents
Area Sampling Straight Line
5-6
Aff
ine Transformations 208
Segments
174
5-7 Transformation Functions
208
Filtering Techniques
174
5-8
Raster Methods for Transformations 210
Pixel Phasing
1
75
Summary 212
Compensating for Line lntensity
Differences
1
75
References 21
3
Antialiasing Area Boundaries
1
76
Exercises
213
Summary
References
Exercises
Two-Dimensional
180 180
6
Viewing
21
6
6-1 The Viewing Pipeline
5
Two-Dimensional Geometric
6-2
Viewing Coordinate Reference Frame
183
6-3
Window-teviewport Coordinate
Transformations
Transformation
5-1 Basic Transformations
Translation
Rotation
Scaling
5-2 Matrix Representations
and Homogeneous Coordinates
5-3
Composite Transformations
Translations
Rotations
Scalings
General Pivot-Point Rotation
General Fixed-Point Scaling
General Scaling Directions
Concatenation Properties
General Composite Transformations
and Computational Efficiency
5-4 Other Transformations
Reflection
Shear
Two-Dimensional Wewing Functions
Clipping Operations
Point Clipping
Line Clipping
Cohen-Sutherland Line Clipping
Liang-Barsky Line Clipping
Nicholl-Lee-Nicholl Line Clipping
Line Clipping Using Nonrectangular
Clip Windows
Splitting Concave Polygons
Polygon Clipping
Sutherland-Hodgernan Polygon
Clipping
Weiler-Atherton Polygon Clipping
Other Polygon-Clipping Algorithms
Curve Clipping
Text Clipping
Exterior Clipping
Summary
5-5
Transformations Between Coordinate References
Systems
205
Exercises
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