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Empirical BRDF model for goniochromatic materials and soft proofing with reflective inks.
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-0983-260x
Technical University of Denmark, Kongens Lyngby, Denmark.
Linköping University, Department of Physics, Chemistry and Biology, Thin Film Physics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-5966-590x
Linköping University, Department of Science and Technology, Media and Information Technology. Linköping University, Faculty of Science & Engineering.
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2024 (English)In: IEEE Computer Graphics and Applications, ISSN 0272-1716, E-ISSN 1558-1756, Vol. 44, no 5, p. 143-152Article in journal (Refereed) Published
Abstract [en]

The commonly used analytic bidirectional reflectance distribution functions (BRDFs) do not model goniochromatism, that is, angle-dependent material color. The material color is usually defined by a diffuse reflectance spectrum or RGB vector and a specular part based on a spectral complex index of refraction. Extension of the commonly used BRDFs based on wave theory can help model goniochromatism, but this comes at the cost of significant added model complexity. We measured the goniochromatism of structual color pigments used for additive color printing and found that we can fit the observed spectral angular dependence of the bidirectional reflectance using a simple modification of the standard microfacet BRDF model. All we need to describe the goniochromatism is an empirically-based spectral parameter, which we use in our model together with a specular reflectance spectrum instead of the spectral complex index of refraction. We demonstrate the ability of our model to fit the measured reflectance of red, green, and blue commercial structural color pigments. Our BRDF model enables straightforward implementation of a shader for interactive preview of 3D objects with printed spatially and angularly varying texture.

Place, publisher, year, edition, pages
IEEE COMPUTER SOC , 2024. Vol. 44, no 5, p. 143-152
Keywords [en]
Printing, Pigments, Color, Ink, Image color analysis, Surface treatment, Optical surface waves
National Category
Other Engineering and Technologies
Identifiers
URN: urn:nbn:se:liu:diva-203285DOI: 10.1109/MCG.2024.3391376ISI: 001343335300009PubMedID: 38640045OAI: oai:DiVA.org:liu-203285DiVA, id: diva2:1856268
Note

Funding Agencies|European Union's Horizon 2020 research and innovation program under the Marie Skldowska-Curie [814158]

Available from: 2024-05-06 Created: 2024-05-06 Last updated: 2025-04-05Bibliographically approved
In thesis
1. Modelling appearance printing: Acquisition and digital reproduction of translucent and goniochromatic materials
Open this publication in new window or tab >>Modelling appearance printing: Acquisition and digital reproduction of translucent and goniochromatic materials
2024 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Colour perception is fundamental to our everyday experiences, allowing us to communicate and interpret visual information effectively. Yet, replicating these experiences accurately poses a significant challenge, particularly in the context of full-colour 3D printing. Advances in this field have revolutionised the fabrication of customised prosthetic body parts, such as eyes, teeth, and skin features, with profound implications for medical and aesthetic applications.

The key to successful 3D printing lies in the digital preview of objects before fabrication, enabling users to assess colour reproduction and quality. However, accurately representing colour in a digital environment is complex, as it depends on numerous factors, including illumination, object shape, surface properties, scene context, and observer characteristics. Traditional methods of previewing conventional 2D prints overlook this complexity.

This thesis addresses this challenge by focusing on two types of materials: semitransparent polymers commonly used in 3D printing, and goniochromatic colorants employed in printing to introduce unique effects unattainable with conventional inks for 2D printing. For semitransparent materials, we developed an empirical function to represent colour based on sample thickness, enabling efficient digital representation. Additionally, we adapted a colour measuring device to identify two key material parameters, absorption and scattering coefficients, essential for accurate colour reproduction.

Goniochromatic materials, such as thin film-coated mica particles, are slightly more complicated and less predictive in terms of their final colour appearance. Although not yet used in 3D printing, these particles used in conventional printing introduce colour variation while rotating the print. We found that goniochromatic properties can be expressed with an empirically found function after collecting angle-dependent light reflecting properties of the sample. We used this function and showed how prints with goniochromatic materials can be efficiently previewed on a computer monitor.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2024. p. 66
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 2379
Keywords
Material appearance, 3D printing, Goniochromatism, Translucency
National Category
Other Engineering and Technologies
Identifiers
urn:nbn:se:liu:diva-202036 (URN)10.3384/9789180755573 (DOI)9789180755566 (ISBN)9789180755573 (ISBN)
Public defence
2024-05-03, K3, Kåkenhus, Campus Norrköping, Norrköping, 09:15 (English)
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Supervisors
Note

Funding agency: The Marie Skłodowska-Curie Actions Innovative Training Network

Available from: 2024-04-05 Created: 2024-04-05 Last updated: 2025-02-18Bibliographically approved

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Pranovich, AlinaValyukh, SergiyGooran, SasanNyström, Daniel

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