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Visualizing the Fourth Dimension Using Geometry and Light
Andrew J. Hanson
Pheng Ann Heng
出版
Computer Science Department, Indiana University
, 1991
URL
http://books.google.com.hk/books?id=ajkktwAACAAJ&hl=&source=gbs_api
註釋
Abstract: "We explore techniques for visualizing mathematical objects in four-dimensional space that exploit four-dimensional lighting effects. We analyze the geometry of image production, stereography, and shadows in 4D. We examine alternatives for smooth and specular shaded rendering of curves, surfaces, and solids in 4D, and propose a new approach that systematically converts curves or surfaces into uniquely renderable solids in four-dimensional space by attaching spheres or circles to each point. Analogs of 3D shading methods are used to produce volume renderings that distinguish objects whose 3D projections from 4D are identical