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Colour is an important source of information in the natural world. It can be used for distinguishing and identifying surfaces and objects and separating one region from another. For instance, flowers and grasses in a garden can be distinguished by their colours despite a change in illuminant. Intuitively, the identifiability of surfaces in a scene can be described by their volumes of colour gamuts. But is this approximation of the identifiability accurate? On the other hand, the existence of metamerism in natural scenes shows that colour is sometimes unreliable for surfaces identification. Estimating frequency of metamerism normally requires many comparisons between surface colours to determine their distinguishability under different illuminants. Is there a simpler approach to predict the frequency of metamerism in natural scenes? The aim of this thesis was to address these two questions about the identifiability of surfaces in natural scenes. To answer the first question, the volumes of colour gamuts were estimated over 50 natural scenes under different illuminants. The logarithm of the gamut volume was regressed on the differential entropy of colours. It was found that gamut volume can be an accurate approximation, given a colour difference threshold representing the visual distinguishability within an approximately perceptually uniform colour space. To answer the second question, the frequency of metamerism was estimated over 50 natural scenes with changes in illuminant; and predictive models were constructed based on different combinations of Shannon differential entropies of colours. There was strong dependence of the frequency of metamerism on the combination of the differential entropy and the conditional differential entropy of colours. It means that the frequency of metamerism can be predicted by the informational quantities of the colours in a scene.

[pt] O controle das cores, seja visual ou instrumental, necessita de padrões de comparação. No caso visual esse padrão tem que ser uma amostra real, mas no caso instrumental existe a possibilidade de definir padrões virtuais em forma de valores de refletância espectral. Os padrões reais não são permanentes. A cor muda com o tempo dependendo do substrato, dos corantes ou pigmentos e dependendo da forma de armazenamento essa mudança se torna perceptível após algumas semanas, meses ou anos. Outra limitação dos padrões reais é a dificuldade de reproduzi-los em número suficiente com reprodutibilidade aceitável. Nas indústrias é muito comum usar coleções de cores padrões (por exemplo, Pantone, NCS, RAL, ColorCurve), mas mesmo assim sempre há uma diferença entre amostras até da mesma edição, e muito mais entre edições diferentes. Os padrões virtuais não têm essas desvantagens, mas para poder utilizá-los, tem-se que determinar o efeito da estrutura da amostra (não mostrada pelos valores de refletância) na cor percebida, e os limites de tolerância permissíveis na iluminação primária (luz do dia) e em outras iluminações (incandescente, fluorescente). Apresentam-se no texto conceitos relevantes e básicos sobre colorimetria limitados ao escopo abordado no trabalho. O objetivo do trabalho é verificar quantitativamente a diferença instrumental de cor de tecidos com diferentes estruturas, a eficiência de diferentes métodos de cálculo computadorizado de correção de receitas de tingimento e a influência do fenômeno da metameria na tolerância colorimétrica. As amostras têxteis com diferentes estruturas serão tingidas em diversas cores e medidas para a determinação da relação da estrutura com a tolerância instrumental, para vários padrões virtuais e vários iluminantes. Demandou-se a preparação de amostras padrão e medições espectrofotométricas, com elevado controle metrológico, realizadas nas dependências do SENAI-CETIQT, mais especificamente nas UOEQ (Unidade Operacional de Ensaios Químicos) e UOC (Unidade Operacional de Colorimetria). Para a análise dos resultados utilizou-se de métodos estatísticos e matemáticos, auxiliada por planilhas eletrônicas. Complementando a formação acadêmica, o desenvolvimento da pesquisa realizou-se nas instalações do SENAI/CETIQT, que possui comprovada competência técnica e científica na área colorimétrica e uma adequada infra-estrutura laboratorial em metrologia da cor que deu suporte ao trabalho. A presente pesquisa de mestrado voltada ao equacionamento de problemas de interesse industrial desenvolveu-se no contexto de um convênio celebrado entre o Programa de Pós-Graduação em Metrologia da PUC-Rio e o SENAI/CETIQT, que somam esforços para consolidar no País uma nova área de pesquisa em metrologia da cor. Por essa razão, o trabalho foi incluído dentre os 10 projetos-piloto que participaram do Convênio FINEP/MCT no. 22.01.0692.00, Referência 1974/01, que aportou recursos do Fundo Setorial Verde Amarelo para direcionar o esforço de pesquisa em metrologia para a solução de problemas de interesse industrial. Foi com esse propósito que padrões virtuais e tolerâncias colorimétricas no controle instrumental das cores foi selecionado como tema central da pesquisa, cujo desenvolvimento beneficiou-se do ambiente acadêmico e de pesquisa da universidade e da excelente infra-estrutura laboratorial em colorimetria do SENAI/CETIQT. A cooperação inter-institucional estabelecida evidencia o potencial da parceria na solução de complexos problemas de interesse industrial. / [en] The control of colors, either visual or instrumental, needs comparison standards. In the visual case this standard has to be a real, physical sample, but in the instrumental case, it is possible to define virtual standards in the form of spectral reflectance values. The real standards are not permanent. Their color changes over time depending on the substrate, the dyes or pigments, and - depending on the storage form - this change becomes perceptible after some weeks, months or years. Another limitation of the real standards is the difficulty to reproduce them in sufficient number with acceptable reproducibility. In industry it is very common to use collections of colors standards (for example, Pantone, NCS, RAL, Color-Curve), but even then there is always a difference between samples even of the same edition, and much more between different editions. Virtual standards do not have these disadvantages, but to be able to use them, the effect of the structure of the sample on the perceived color (not shown by the values of spectral reflectance), as well as the acceptable limits of tolerance under the primary illumination (daylight) and under other illuminations (incandescent, fluorescent) have to be determined. Relevant and basic concepts of colorimetry are presented in the text, limited to the scope of the work. The objective of the work is to quantitatively verify the instrumental color difference between fabrics with different structures, the efficiency of different methods of computerized dye recipe correction calculation and the influence of the phenomenon of metamerism on colorimetric tolerances. Textile samples with different structures will be dyed in diverse colors and the effect of the structure on the instrumental tolerance for some virtual standards and some illuminants will be determined by instrumental measurements. Sample preparation and spectrophotometric measurements were performed under careful metrological control, carried out in the installations of SENAI-CETIQT, more specifically in the UOEQ (Chemical Testing Laboratory) and UOC (Applied Colorimetry Laboratory). Statistical and mathematical methods, assisted by electronic spread sheets, were used for the analysis of the results. Complementing the academic development, the experimental research took place at SENAI/CETIQT, an institution with proven scientific and technical capabilities in the field of colorimetry and outstanding laboratorial infrastructure in color metrology, that gave support to the work. The present M.Sc. Dissertation aiming at the solution of problems of industrial interest was developed in connection with an agreement celebrated between the Post-graduate Programme in Metrology of PUC-Rio and SENAI/CETIQT which cooperate to implement in the country a new area of research in metrology applied to colorimetry. For this reason, the research work was included among the 10 pilot-projects which benefited from the financial support received from the FINEP/MCT Agreement no. 22.01.0692.00, Reference 1974/01 (Green-Yellow governmental Fund) driving the research effort in metrology to the solution of industrial problems. This is why virtual standards and colorimetric tolerances in the instrumental control of the colors was selected as the central topic of this research, which successful development strongly benefited from the academic and scientific environment provided by the university and also by the outstanding laboratory infrastructure in colorimetry offered by SENAI/CETIQT. The agreement established proved to speed up the solution of complex problems requiring advanced knowledge of metrology.

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Approved for public release; distribution in unlimited. / Traditionally, digital imaging systems rely on the use of dedicated photodetectors to capture specific wavelengths in the visible spectrum. These photodetectors, which are commonly made of silicon, are arranged as arrays to capture the red, green and blue wavelengths. The signal captured by the individual photodetectors must then be interpolated and integrated to obtain the closest color match and the finest possible resolution with reference to the actual object. The use of spatially separated detectors to sense primary colors reduces the resolution by a factor of three compared to black and white imaging. The FOVEON detector technology greatly improves the color and resolution of the image through its vertically arranged, triple well photodetector. This is achieved by exploiting the variation of absorption coefficient of silicon with wavelength in the visible spectrum. Hence, in a silicon detector, the shorter wavelength (e.g. blue) would be mainly absorbed at a shallow depth. A longer wavelength (e.g. red) would penetrate the material deeper than the shorter wavelengths and be primarily absorbed at a greater depth. By producing a layered silicon detector, all three primary colour wavelengths of red, green and blue can be captured simultaneously. This thesis aims to study the FOVEON camera's ability to image light from the near Infrared (NIR) to the Ultra-Violet (UV) range of the electromagnetic spectrum. The imaged obtained using a set of bandpass filters show that the camera has response both in the UV as well as NIR regions. / Major, Singapore Armed Forces