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revision 1.33 by jvk, Wed Nov 13 07:57:13 2002 UTC revision 1.34 by jvk, Wed Nov 13 10:43:14 2002 UTC
# Line 400  these discrete choices in different text Line 400  these discrete choices in different text
400  However, the tearout shape can rotate, requiring surfaces  However, the tearout shape can rotate, requiring surfaces
401  for all tearing directions in the paper.  for all tearing directions in the paper.
402  We compute the outer surfaces for a small number of different  We compute the outer surfaces for a small number of different
403  tearing directions (45 or 60 degress apart) and store them  tearing directions and store them
404  in the components of a texture.  in the components of a texture.
405  The surface corresponding to a a tearing direction between  The surface corresponding to a a tearing direction between
406  two stored angles is computed  two stored angles is computed
# Line 410  texture using a dot product with GL\_NV\ Line 410  texture using a dot product with GL\_NV\
410  The interpolation works better for non-vertical cutting planes.  The interpolation works better for non-vertical cutting planes.
411  For a vertical cutting plane, the circle may fit in a narrow valley  For a vertical cutting plane, the circle may fit in a narrow valley
412  only in a certain angle, making large changes in the outer surface  only in a certain angle, making large changes in the outer surface
413  over small changes of angle. On the other hand, when the cutting  over small changes of angle.
414  plane is closer to horizontal, there can be no such gaps,  When the cutting plane is closer to horizontal, there can be no such gaps,
415  because the surface is defined as a displacement from a horizontal plane.  because the surface is defined as a displacement from a horizontal plane.
416    On the other hand, it suffices to store only half of the tearing angles
417    of a vertical cutting plane, because 180 degree rotation of the plane
418    has no effect.
419    A four-component texture can store angles 45 degress apart for a vertical
420    cutting plane and 90 degrees apart for a non-vertical plane.
421    
422  Non-photorealistic line-width through mip-mapping.  Non-photorealistic line-width through mip-mapping.
423  %Pyramidal parametrics, Lance Williams (mipmap) ref.  %Pyramidal parametrics, Lance Williams (mipmap) ref.

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