Title :
Illuminating the fourth dimension
Author :
Hanson, Alex J. ; Heng, P.A.
Author_Institution :
Indiana Univ., Bloomington, IN, USA
fDate :
7/1/1992 12:00:00 AM
Abstract :
A family of techniques for creating intuitively informative shaded images of 4-D mathematical objects is proposed. The rendering of an object in a 4-D world is described by considering step-by-step how objects might be rendered into images in simpler worlds. The mathematical principles needed to compute projected images of objects and their shadows in D dimensions are outlined. The issues involved in producing shaded images of objects in four dimensions, including extending rendering from 3-D to 4-D, smooth shading, and specularity, are discussed. Results of rendering a Steiner surface, torus, and knotted sphere in four dimensions are presented.<>
Keywords :
computer graphics; 4D mathematical objects; Steiner surface; fourth dimension; intuitively informative shaded images; knotted sphere; mathematical principles; projected images; rendering; smooth shading; specularity; torus; Layout; Pixel; Rendering (computer graphics); Wire;
Journal_Title :
Computer Graphics and Applications, IEEE