Computer graphics in Java

Summary of contents

• Elementary concepts
• lines, co-ordinates and pixels
• the boundaries of filled regions
• logical co-ordinates
• anisotropic and isotropic mapping modes
• defining a polygon by using the mouse
• applied geometry
• vectors
• inner product
• determinants
• vector product
• the orientation of three points
• polygons
• the area of a polygon
• testing if point lies within triangle
• test if point lies within polygon
• testing if a point lies on a line or segment
• distance between a point and a line
• projection of a point on a line
• triangulation of polygons
• rotations and other transformations
• matrix multiplication
• linear transformations
• combining linear transformations
• inverse transformations and matrix inversion
• translations and homogeneous co-ordinates
• rotation about an arbitrary point
• rotations about 3D co-ordinate axes
• changing the co-ordinate system
• rotation about an arbitrary axis
• some classic algorithms
• Bezier curves
• B-spline curve fitting
• Cohen-Sutherland line clipping
• Sutherland-Hodgman polygon clipping
• Bresenham's algorithm for line drawing
• circles
• perspective
• the viewing transformation
• the perspective transformation
• a cube in perspective
• hidden-face elimination
• backface culling
• the painter's algorithm
• Z-buffer algorithm
• some applications
• cones and cylinders
• platonic solids
• sphere representations
• a torus
• beams in a spiral
• functions of two variables