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Accurate Rendering of Liquid-Crystals and Inhomogeneous Optically Anisotropic Media

Author:

Shlomi SteinbergAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 39, Issue 3

Article No.: 22, Pages 1 - 23

https://doi.org/10.1145/3381748

Published: 03 May 2020 Publication History

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Abstract

We present a novel method for devising a closed-form analytic expression to the light transport through the bulk of inhomogeneous optically anisotropic media. Those optically anisotropic materials, e.g., liquid-crystals and elastic fluids, arise in a plethora of established applications and exciting new research; however, current state-of-the-art methods of visually deducing their optical properties or rendering their appearance are either lacking or non-existent. We formulate our light transport problemunder the context of electromagnetism and derive, from first principles, a differential equation of the transmitted complex wave fields that fully account for the complicated interference phenomena that arise. At the core of our proposed rendering framework is a powerful mathematical representation, carefully crafted to enable us to produce highly accurate analytic approximative solutions for the light transport. This approach is previously unused in computer rendering, and our framework is capable of accurately rendering optically anisotropic materials with spatially varying optical properties at orders-of-magnitude better performance compared to existing methods. We demonstrate a few practical applications of our method, and we validate it against polarized photos of liquid-crystals as well as numerically against numerical solvers and qualitatively against brute-force renderings.

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Chen CPalacio-Betancur VNorouzi SZubieta-Rico PChang NSadati MRowan Sde Pablo J(2024)LCPOM: Precise Reconstruction of Polarized Optical Microscopy Images of Liquid CrystalsChemistry of Materials10.1021/acs.chemmater.3c0242536:7(3081-3091)Online publication date: 28-Mar-2024
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Index Terms

Accurate Rendering of Liquid-Crystals and Inhomogeneous Optically Anisotropic Media
1. Applied computing
  1. Physical sciences and engineering
    1. Physics
2. Computing methodologies
  1. Computer graphics
    1. Rendering

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 39, Issue 3

June 2020

179 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3388953

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Marc Alexa
TU Berlin, Germany

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Publication History

Published: 03 May 2020

Accepted: 01 February 2020

Revised: 01 February 2020

Received: 01 November 2019

Published in TOG Volume 39, Issue 3

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Cited By

Ma XHan YZhang YGeng YMajumdar ALagerwall J(2024)Tunable templating of photonic microparticles via liquid crystal order-guided adsorption of amphiphilic polymers in emulsionsNature Communications10.1038/s41467-024-45674-515:1Online publication date: 15-Feb-2024
https://doi.org/10.1038/s41467-024-45674-5
Chen CPalacio-Betancur VNorouzi SZubieta-Rico PChang NSadati MRowan Sde Pablo J(2024)LCPOM: Precise Reconstruction of Polarized Optical Microscopy Images of Liquid CrystalsChemistry of Materials10.1021/acs.chemmater.3c0242536:7(3081-3091)Online publication date: 28-Mar-2024
https://doi.org/10.1021/acs.chemmater.3c02425
Salesin KKnobelspiesse KChowdhary JZhai PJarosz W(2024)Unifying radiative transfer models in computer graphics and remote sensing, Part I: A surveyJournal of Quantitative Spectroscopy and Radiative Transfer10.1016/j.jqsrt.2023.108847314(108847)Online publication date: Feb-2024
https://doi.org/10.1016/j.jqsrt.2023.108847
Steinberg SSen PYan L(2022)Towards practical physical-optics renderingACM Transactions on Graphics10.1145/3528223.353011941:4(1-24)Online publication date: 22-Jul-2022
https://dl.acm.org/doi/10.1145/3528223.3530119
Steinberg SYan L(2021)Physical light-matter interaction in hermite-gauss spaceACM Transactions on Graphics10.1145/3478513.348053040:6(1-17)Online publication date: 10-Dec-2021
https://dl.acm.org/doi/10.1145/3478513.3480530
Steinberg SYan L(2021)A generic framework for physical light transportACM Transactions on Graphics10.1145/3476576.347671540:4(1-20)Online publication date: Aug-2021
https://doi.org/10.1145/3476576.3476715
Steinberg SYan L(2021)A generic framework for physical light transportACM Transactions on Graphics10.1145/3450626.345979140:4(1-20)Online publication date: 19-Jul-2021
https://dl.acm.org/doi/10.1145/3450626.3459791
Pediredla AChalmiani YScopelliti MChamanzar MNarasimhan SGkioulekas I(2020)Path tracing estimators for refractive radiative transferACM Transactions on Graphics10.1145/3414685.341779339:6(1-15)Online publication date: 27-Nov-2020
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