Mathematics of Projections

Table of Contents

Viewing in Three Dimensions

Oblique Projections: Why?

Specifying a View Volume

Specifying Arbitrary 3D Views

Defining a View Volume

Examples of a View Volume

Specifying the View Volume via the Window

The View Plane Coordinate System

Specifying the Viewing Volume

Explanation of Peculiarities

The Viewing Problem

The Standard Perspective View Volume

The Perspective Case

Rotation

Going Through the Steps

Another Route to the Same End

Consequence for Matrix Multiplication

One Step Further...

...and the Clincher

Application

Going Through the Steps

The Results

One Last Step

Now What?

Mathematics of Projections - 09 MAY 95

sl@cs.brown.edu