2018 Joint Mathematics Meetings
John Shier and Doug Dunham
Artists
Statement
Artists have employed metamorphosis or transitions to patterns in order to obtain interesting aesthetic results. Perhaps the best known examples are M.C. Escher's "Metamorphosis" I, II, and III. We use this transformation idea to create new images with computer technology. Continuous random functions are the basis for our calculations, and these are then modified by continuous transitions, from 0 to 1 for example. In order to render an image in a reasonable amount of time, the random functions should be calculated efficiently. The use of Perlin noise is one solution to this problem. These functions can be used to vary color, position, orientation, and other geometric properties of subimages from left to right or top to bottom.