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We present a semi-analytical model to simulate bidirectional reflectance distribution function (BRDF) spectra of a rough slab layer containing impurities. This model has been optimized for fast computation in order to analyze hyperspectral…

Polycrystalline materials, such as metals, are comprised of heterogeneously oriented crystals. Observed crystal orientations are modelled as a sample from an orientation distribution function (ODF), which determines a variety of material…

Applications · Statistics 2020-12-10 James Matuk , Oksana Chkrebtii , Stephen Niezgoda

This paper presents a comprehensive experimental validation of a recently developed Ray Deflection Function (RDF) approach, which offers a new framework for modeling surface roughness effects in optical systems. Through detailed geometrical…

Optics · Physics 2025-05-05 Netzer Moriya

New observational facilities are becoming increasingly capable of observing reflected light from transiting and directly imaged extrasolar planets. In this study, we provide an analytic framework to interpret observed phase curves,…

Earth and Planetary Astrophysics · Physics 2015-06-03 Nikku Madhusudhan , Adam Burrows

The present study focuses on the optical properties of functionalized surfaces and how the surface geometry impacts them. Physical measurements of reflected light are required to understand the visual aspect of such surfaces. Bidirectional…

Materials Science · Physics 2017-03-03 C. Turbil , I. Gozhyk , J. Teisseire , I. Simonsen , G. Ged , G. Obein

We perform light-scattering numerical simulations for two dust populations: (i) consolidated porous particles computed with the discrete dipole approximation (ADDA) and (ii) highly porous aggregate models, including fractal and hierarchical…

We present a novel BSSRDF for rendering translucent materials. Angular effects lacking in previous BSSRDF models are incorporated by using a dual-beam formulation. We employ a Placzek's Lemma interpretation of the method of images and…

Graphics · Computer Science 2021-02-19 Eugene d'Eon

This paper introduces a new conceptual framework that recasts surface roughness effects as a "ray deflection function" (RDF) which can be statistically represented through a modified Zernike-Fourier hybrid approach that directly connects…

Optics · Physics 2025-08-12 Netzer Moriya

I provide analytical or semi-analytical expressions for the small-angle scattering of colloidal objects that can be described as curved plates. These models could help characterize a variety of inorganic or biological systems.

Soft Condensed Matter · Physics 2016-05-23 Doru Constantin

In this paper, we propose SpongeCake: a layered BSDF model where each layer is a volumetric scattering medium, defined using microflake or other phase functions. We omit any reflecting and refracting interfaces between the layers. The first…

Graphics · Computer Science 2023-03-03 Beibei Wang , Wenhua Jin , Miloš Hašan , Ling-Qi Yan

Acquiring bidirectional reflectance distribution functions (BRDFs) is essential for simulating light transport and analytically modeling material properties. Over the past two decades, numerous intensity-only BRDF datasets in the visible…

Graphics · Computer Science 2025-09-18 Yunseong Moon , Ryota Maeda , Suhyun Shin , Inseung Hwang , Youngchan Kim , Min H. Kim , Seung-Hwan Baek

We present a technique for estimating the shape and reflectance of an object in terms of its surface normals and spatially-varying BRDF. We assume that multiple images of the object are obtained under fixed view-point and varying…

Computer Vision and Pattern Recognition · Computer Science 2015-03-17 Zhuo Hui , Aswin C. Sankaranarayanan

Existing bidirectional reflectance distribution function (BRDF) models are capable of capturing the distinctive highlights produced by the fibrous nature of wood. However, capturing parameter textures for even a single specimen remains a…

Graphics · Computer Science 2015-11-18 Albert J. Liu , Stephen R. Marschner , Victoria E. Dye

Traditional physically-based material models rely on analytically derived bidirectional reflectance distribution functions (BRDFs), typically by considering statistics of micro-primitives such as facets, flakes, or spheres, sometimes…

Graphics · Computer Science 2026-05-07 Zixuan Li , Zixiong Wang , Jian Yang , Miloš Hašan , Beibei Wang

A growing acceptance of fiber reinforced composite materials imparts some relevance to exploring the effects which a predominantly linear scattering lattice may have upon interior radiant transport. Indeed, a central feature of…

Classical Analysis and ODEs · Mathematics 2018-02-27 J. A. Grzesik

We describe a method for designing a one-dimensional random surface that acts as a Lambertian diffuser. The method is tested by means of rigorous computer simulations and is shown to yield the desired scattering pattern.

Disordered Systems and Neural Networks · Physics 2010-05-04 A. A. Maradudin , I. Simonsen , T. A. Leskova , E. R. Mendez

A new approach is developed within the first-order Born approximation to light scattering from a collection of particles with $\mathcal{L}$ types. Two $\mathcal{L}\times\mathcal{L}$ matrices called pair-potential matrix (PPM) and…

Optics · Physics 2023-07-19 Yi Ding

Disordered packings of colloidal spheres show angle-independent structural color when the particles are on the scale of the wavelength of visible light. Previous work has shown that the positions of the peaks in the reflectance spectra can…

Soft Condensed Matter · Physics 2020-02-05 Victoria Hwang , Anna B. Stephenson , Sofia Magkiriadou , Jin-Gyu Park , Vinothan N. Manoharan

We investigate the scattering and absorption of light by random ballistic aggregates of spherical monomers. We present a general measure for the porosity of an irregular particle. Three different classes of ballistic aggregates are…

Astrophysics · Physics 2009-11-13 Yue Shen , B. T. Draine , Eric T. Johnson

The albedo and dichroic polarization of spheroidal particles are studied. For the description of the phase function two asymmetry parameters $g_{||}$ and $g_{\bot}$ characterizing the anisotropy in forward/backward and left/right directions…

Astrophysics · Physics 2007-05-23 Nikolai V. Voshchinnikov
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