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Computational Geometry Solution to Nonunique Forward Model Inversion for Multi-ink Printing

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Forward device models for multi-ink printing systems (i.e., ones that contain more than three colorants) relate ink amounts to predictions of either colorimetry or spectral reflectance. These models often have a large portion of their range (CIELAB values) that lack unique domain values (device ink amounts). This makes unique inversion of the forward model ill posed in these regions of color space. An approach is presented where direct computational techniques are applied to a tessellated version of a device's forward model to produce an inverse. This is accomplished using an isosurfacing technique that sequentially intersects m noncoincident planes in the m-dimensional range color space through the image of the model's device-code value n-dimensional domain tessellation. This computational approach results in (n-m)-dimensional piecewise-linear ink manifolds that define the mapping of the n-dimensional domain space (ink amounts) to a location in the m-dimensional range space (CIELAB). This process is generalizable to devices with any number of input inks, n ≥ m, provided the range space color is within the color gamut of the device.
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Document Type: Research Article

Publication date: January 1, 2008

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  • CIC is the premier annual technical gathering for scientists, technologists, and engineers working in the areas of color science and systems, and their application to color imaging. Participants represent disciplines ranging from psychophysics, optical physics, image processing, color science to graphic arts, systems engineering, and hardware and software development. While a broad mix of professional interests is the hallmark of these conferences, the focus is color. CICs traditionally offer two days of short courses followed by three days of technical sessions that include three keynotes, an evening lecture, a vibrant interactive (poster) papers session, and workshops. An endearing symbol of the meeting is the Cactus Award, given each year to the author(s) of the best interactive paper; there are also Best Paper and Best Student Paper awards.

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