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Methods and Systems for Sampling and Modeling of Colorant-Limited, Multi-Colorant Color Spaces

  • US 20100253698A1
  • Filed: 04/01/2009
  • Published: 10/07/2010
  • Est. Priority Date: 04/01/2009
  • Status: Active Grant
First Claim
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1. A method for modeling a colorant-limited, multi-dimensional colorant space, said method comprising:

  • a) representing a full-colorant space as a multi-dimensional full-colorant hyper cube without colorant limitations;

    b) sampling said full-colorant color space using a rectilinear sampling scheme, thereby producing rectilinear sample points;

    c) representing a colorant-limited colorant space with a multi-dimensional hyper cube limited by a colorant-limitation hyperplane;

    d) transforming said rectilinear sample points, using a bijective mapping process, to said colorant-limited colorant space, thereby producing transformed rectilinear sample points;

    e) tessellating said rectilinear sample points into full-colorant-color space simplexes;

    f) obtaining intersection sample points located at the intersection of the edges of said full-colorant-color-space simplexes and the intersection lines between the colorant limitation hyper-plane and said full colorant hypercube; and

    g) using said transformed rectilinear sample points and said intersection sample points to model a device color gamut of the colorant-limited colorant space.

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