• George K. Francis


In the nineteenth century, photographers first applied their new medium to inexpensive substitutes for standard art: they produced landscapes and portraits. Later came motion pictures — something only the camera could do. The goal of much computer graphics today is still to produce electronic images of photographic quality or videotapes and disk-stored sequences of precomputed movies. Of greater use for descriptive topology would be an inexpensive graphics tool for producing recognizable images by oneself, in huge quantities and fast enough to keep from wasting time. As yet, we have to strike a compromise on each of these five requirements.


Klein Bottle Descriptive Topology Pinch Point Color Plate Apparent Contour 


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Copyright information

© Springer Science+Business Media New York 2007

Authors and Affiliations

  • George K. Francis
    • 1
  1. 1.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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