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Neural radiance fields (NeRF) have gained prominence as a machine learning technique for representing 3D scenes and estimating the bidirectional reflectance distribution function (BRDF) from multiple images. However, most existing research…

Computer Vision and Pattern Recognition · Computer Science 2024-09-27 Lulin Zhang , Ewelina Rupnik , Tri Dung Nguyen , Stéphane Jacquemoud , Yann Klinger

The Refl1d program is used for modeling and fitting data from neutron and X-ray reflectometry experiments. The model of the (thin-film) samples is typically constructed of discrete layers of different scattering-length densities (SLD).…

Computational Physics · Physics 2018-01-22 Brian B. Maranville , Aaron Green , Paul A. Kienzle

Neural Radiance Fields (NeRFs) provide a high fidelity, continuous scene representation that can realistically represent complex behaviour of light. Despite works like Ref-NeRF improving geometry through physics-inspired models, the ability…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Jack Naylor , Viorela Ila , Donald G. Dansereau

The photorealistic rendering of the transparent effect of translucent objects is a hot research topic in recent years. A real-time photorealistic rendering and material dynamic editing method for the diffuse scattering effect of translucent…

Graphics · Computer Science 2022-03-24 Rui Wang , Wei Hua , Yuchi Huo , Hujun Bao

Accurate and efficient prediction of three-dimensional (3D) fields in wave interactions with large, complex-shaped objects is essential for applications in electromagnetic computation, computer graphics, optical metrology, and freeform…

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

Fractal dimension (D) is an effective parameter to represent the irregularity and fragmental property of a self-affine surface, which is common in physical vapor deposited thin films. D could be evaluated through the scaling performance of…

Materials Science · Physics 2018-01-30 Feng Feng , Binbin Liu , Xiangsong Zhang , Xiang Qian , Xinghui Li , Timing Qu , Pingfa Feng

The surface of metal, glass and plastic objects is often characterized by microscopic scratches caused by manufacturing and/or wear. A closer look onto such scratches reveals iridescent colors with a complex dependency on viewing and…

Graphics · Computer Science 2017-05-18 Sebastian Werner , Zdravko Velinov , Wenzel Jakob , Matthias B. Hullin

BRDF models are ubiquitous tools for the representation of material appearance. However, there is now an astonishingly large number of different models in practical use. Both a lack of BRDF model standardisation across implementations found…

Graphics · Computer Science 2018-08-22 Alejandro Sztrajman , Jaroslav Krivanek , Alexander Wilkie , Tim Weyrich

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…

At millimeter-wave frequencies, diffuse scattering from rough surfaces is an important propagation mechanism. Including this mechanism in radio propagation modeling tools,such as ray-tracing, is a key step towards realizing accurate…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Stefanos Bakirtzis , Takahiro Hashimoto , Costas D. Sarris

Realistic modeling of scattering from curved metallic bodies - such as vehicles and roadside structures - is essential for cellular and vehicular channel modeling as well as radar applications. A practical approach is to approximate curved…

Signal Processing · Electrical Eng. & Systems 2026-04-08 Ainur Ziganshin , Enrico M. Vitucci , Wim Kotterman , Reiner Thomae , Christian Schneider , Vittorio Degli-Esposti

The Rayleigh conjecture about convergence up to the boundary of the series representing the scattered field in the exterior of an obstacle $D$ is widely used by engineers in applications. However this conjecture is false for some obstacles.…

Numerical Analysis · Mathematics 2007-05-23 A. G. Ramm , S. Gutman

Existing methods in neural scene reconstruction utilize the Signed Distance Function (SDF) to model the density function. However, in indoor scenes, the density computed from the SDF for a sampled point may not consistently reflect its real…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Ruihong Yin , Yunlu Chen , Sezer Karaoglu , Theo Gevers

This paper presents preliminary work on a novel connection between certified robustness in machine learning and the modeling of 3D objects. We highlight an intriguing link between the Maximal Certified Radius (MCR) of a classifier…

Computer Vision and Pattern Recognition · Computer Science 2024-08-26 Gabriel Pérez S , Juan C. Pérez , Motasem Alfarra , Jesús Zarzar , Sara Rojas , Bernard Ghanem , Pablo Arbeláez

Recently, Neural Radiance Fields (NeRF) has exhibited significant success in novel view synthesis, surface reconstruction, etc. However, since no physical reflection is considered in its rendering pipeline, NeRF mistakes the reflection in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Junyi Zeng , Chong Bao , Rui Chen , Zilong Dong , Guofeng Zhang , Hujun Bao , Zhaopeng Cui

We present a simple algorithm for differentiable rendering of surfaces represented by Signed Distance Fields (SDF), which makes it easy to integrate rendering into gradient-based optimization pipelines. To tackle visibility-related…

Graphics · Computer Science 2024-06-10 Zichen Wang , Xi Deng , Ziyi Zhang , Wenzel Jakob , Steve Marschner

The Point Spread Function (PSF) is a key figure of merit for specifying the angular resolution of optical systems and, as the demand for higher and higher angular resolution increases, the problem of surface finishing must be taken…

Instrumentation and Methods for Astrophysics · Physics 2016-10-04 K. Tayabaly , D. Spiga , G. Sironi , R. Canestrari , M. Lavagna , G. Pareschi

In modern computer vision, the optimal representation of 3D shape continues to be task-dependent. One fundamental operation applied to such representations is differentiable rendering, as it enables inverse graphics approaches in learning…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Tristan Aumentado-Armstrong , Stavros Tsogkas , Sven Dickinson , Allan Jepson

In this paper, we present a method based on Radial Basis Function (RBF)-generated Finite Differences (FD) for numerically solving diffusion and reaction-diffusion equations (PDEs) on closed surfaces embedded in $\mathbb{R}^d$. Our method…

Numerical Analysis · Mathematics 2014-04-04 Varun Shankar , Grady B. Wright , Robert M. Kirby , Aaron L. Fogelson