Graphics Reference
In-Depth Information
8
Transformation Operators
This chapter presents the fundamentals of the transformation operators used in
computer graphics. This chapter:
• presents the row vector to represent vertex positions, the matrix to represent
transformation operators;
• explains in details the translation, scaling, and rotation transformation op-
erators;
• reviews the simple mathematics regarding vectors and matrices;
• demonstrates how to program transformation operators with modern graph-
ics API.
After this chapter we should:
• understand the effects of the basic transformation operators;
• be ready to examine how to combine transformation operators to accom-
plish more complex effects.
In addition, with respect to hands-on programming, we should:
• have insights into the matrix processors of the graphics APIs;
• be able to use the matrix processors to accomplish simple transformation
operations.
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