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Some Thoughts on the Projective Transformation and the Inverse of Control Point in the Reconstruction of Three B-spline Curve

WANG Juan   

  1. (Yunnan Tin Vocation &Technical College, Gejiu 661000,  China)
  • Received:2016-06-07 Online:2016-10-30 Published:2016-10-30

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Abstract: Abstract:It is proved that the cubic B一spline curve is still cubic B一spline curve after projective transformation. It is proposed that cubic B一spline curves in the image plane are the projective of cubic B一spline curves in space. The projective relations between the control points of the cubic B一spline curves in the image plane and the cubic B一spline curves in space are given.  A  method of solving B一spline curve control points is proposed.

Key words: projective transformation, control point, inverse, 3 D reconstruction

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