Color Fidelity in Computer Graphics: a Survey
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paper_title: Fast computation of tristimulus values by use of gaussian quadrature

paper_content:

In colorimetric work, the calculation of tristimulus values is typically accomplished by one of the standard numerical-integration schemes, such as Simpson’s rule. However, great computational savings can be achieved by use of a more-sophisticated approach. By computing the orthogonal polynomials associated with the CIE color-matching functions, the method of gaussian quadratures can be applied. For certain types of color-matching problems, the gaussian technique is at least twice as fast, for the same accuracy, as conventional methods.
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paper_title: Numerical determination of tristimulus values

paper_content:

I consider numerical methods for evaluating the tristimulus values of Pλ, an arbitrary spectral power distribution. Various classical quadrature rules are discussed, and numerically stable algorithms for their construction are presented. I introduce a new quadrature rule developed specifically for evaluating tristimulus values. The method involves the simultaneous generation of three quadrature rules sharing a common set of nodes that is optimal in a sense much like the optimality of the Gauss rules.
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Title: Color Fidelity in Computer Graphics: a Survey

Section 1: Introduction
Description 1: Provide an overview of the topic of realistic image synthesis and its two sub-themes, with a focus on the visualization aspect and the theoretical goal of achieving visual sensations fidelity as if the observer were in the real scene.

Section 2: The spectral rendering step
Description 2: Describe the importance of modeling light sources and interactions, including concepts like the Bidirectional Reflectance Distribution Function (BRDF) and techniques such as Ray Tracing, Radiosity, and Monte Carlo methods.

Section 3: Computation of XY Z tristimulus values from a spectrum
Description 3: Explain the process of converting spectral data into CIE XYZ tristimulus values, covering methods like the direct method, Gaussian quadrature method, segmentation of the visible wavelength domain, and projection on a set of basis functions.

Section 4: An observer model
Description 4: Discuss the complexities and components of human color vision modeling, covering luminance analysis and chromatic analysis, and consideration for handling color images in a way that maintains perceptual experience.

Section 5: Luminance analysis
Description 5: Detail the physiological aspects of luminance adaptation, brightness perception, and various laws linking luminance to brightness like Weber-Fechner's and Stevens and Stevens’s laws.

Section 6: Chromatic analysis
Description 6: Explore the mechanisms of chromatic adaptation, including simultaneous contrast between opponent colors and Von Kries’s formalization for maintaining color constancy under different illuminants.

Section 7: Known solutions
Description 7: Review existing methods for tone reproduction functions (TRF) and their applications, with a focus on methods for displaying gray scale images, overcoming scene luminance dynamics, and evaluating background luminance.

Section 8: Proposal for a methodology
Description 8: Suggest an improved methodology for color image processing, incorporating notions of equivalent luminance, simultaneous contrast, and chromatic adaptation, and emphasize the differences in viewing conditions between the scene observer and the display observer.

Section 9: A monitor model
Description 9: Outline the final step of mapping XYZ values to RGB values, calibration of the monitor to match theoretical values, and discuss the technical constraints and limitations of current monitors.

Section 10: Color monitor calibration
Description 10: Explain the process of color monitor calibration, including phosphor properties, gamma correction, and addressing spatial inhomogeneity and temporal stability in color emission.

Section 11: Monitor limitations
Description 11: Discuss the limitations of monitors in reproducing the full range of human color vision, including gamut restrictions and luminance constraints, and describe mapping methods to accommodate these limitations.

Section 12: Conclusion
Description 12: Summarize the challenges and potential future research directions needed to improve color fidelity in computer graphics, emphasizing the interdisciplinary knowledge required and current technological constraints.