Synonyms
Definition
The Vora Value, ν, measures the recording accuracy of a set of color filters [1]. The definition of ν takes into account the viewing and recording illuminants and the target color space. The original definition is independent of the data set to be recorded, does not take into account recording noise, and is based on the Euclidean distance measure in the target color space.
Let \( \mathbf{V}=\left[{\mathbf{v}}_1{\mathbf{v}}_2 \dots {\mathbf{v}}_{\mathrm{s}}\right] \) be an \( N\times s \) matrix whose columns are the vectors (or functions) that define the target color space for a specified viewing illuminant. If we assume that the vectors of V are independent, then they define a basis for the span of V, \( Span\Big({\left\{{\mathbf{v}}_i\right\}}_{i=1}^s \). To simplify notation, we denote the span of V by Rs(V), where the subscript denotes the dimension of the vector space. For example, v1, v2, v3 could represent the three CIE XYZmatching functions...
References
Vora, P.L., Joel Trussell, H.: Measure of goodness of a set of color scanning filters. J. Opt. Soc. Am. A 10(7), 1499–1508 (1993)
Neugebauer, H.E.J.: Quality factor for filters whose spectral transmittances are different from color mixture curves, and its application to color photography. J. Opt. Soc. Am. 46(10), 821–884 (1956)
Golub, Gene H., Van Loan, C.F.: Matrix Computations. Johns Hopkins University Press, Baltimore (1996).
Finlayson, G.D, Drew, M.S.: The maximum ignorance assumption with positivity. 4th color imaging conference: color, science, systems and applications, IS&T/SID, pp. 202–205 (1996)
Finlayson, G.D, Drew, M.S.: White-point preservation enforces positivity. 6th color imaging conference: color, science, systems and applications, pp. 47–52 (1998)
Mark, W., Bouman, C.A., Allebach, J.P., Eric, W.: Optimization of sensor response functions for colorimetry of reflective and emissive objects. IEEE Trans. Image Proc. 5(3), 507–517 (1996)
Sharma, G., Trussell, H.J.: Figures of merit for color scanners. IEEE Trans. Image Proc. 6(7), 990–1001 (1997)
Author information
Authors and Affiliations
Corresponding authors
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media New York
About this entry
Cite this entry
Vora, P.L., Trussell, H.J. (2016). Vora Value. In: Luo, M.R. (eds) Encyclopedia of Color Science and Technology. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8071-7_48
Download citation
DOI: https://doi.org/10.1007/978-1-4419-8071-7_48
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-8070-0
Online ISBN: 978-1-4419-8071-7
eBook Packages: Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics