TRANSFORMATIONS AND PROJECTIONS IN COMPUTER GRAPHICS

By WILLIAM ROBINSON

CONTENTS TRANSFORMATIONS INTRODUCTION TWO-DIMENSIONAL TRANSFORMATIONS THREE-DIMENSIONAL COORDINATE SYSTEMS THREE-DIMENSIONAL TRANSFORMATIONS TRANSFORMING THE COORDINATE SYSTEM PARALLEL PROJECTIONS ORTHOGRAPHIC PROJECTIONS AXONOMETRIC PROJECTIONS OBLIQUE PROJECTIONS PERSPECTIVE PROJECTION ONE TWO THREE IN?NITY HISTORY OF PERSPECTIVE PERSPECTIVE IN CURVED OBJECTS THE MATHEMATICS OF PERSPECTIVE GENERAL PERSPECTIVE TRANSFORMING THE OBJECT VIEWER AT AN ARBITRARY LOCATION A COORDINATE-FREE APPROACH: I A COORDINATE-FREE APPROACH: II THE VIEWING VOLUME STEREOSCOPIC IMAGES CREATING A STEREOSCOPIC IMAGE VIEWING A STEREOSCOPIC IMAGE AUTOSTEREOSCOPIC DISPLAYS NONLINEAR PROJECTIONS FALSE PERSPECTIVE FISHEYE PROJECTION CIRCLE INVERSION PANORAMIC PROJECTIONS CYLINDRICAL PANORAMIC PROJECTION SPHERICAL PANORAMIC PROJECTION CUBIC PANORAMIC PROJECTION SIX-POINT PERSPECTIVE OTHER PANORAMIC PROJECTIONS PANORAMIC CAMERAS TELESCOPIC PROJECTION MICROSCOPIC PROJECTION ANAMORPHOSIS MAP PROJECTIONS