Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Video

Updated: May 24, 2026

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

Published on: July 17, 2021

Rational BRDF.

Romain Pacanowski¹, Oliver Salazar Celis, Christophe Schlick

¹Universite´ de Bordeaux with LP2N (CNRS: UMR5298), Talence, France. romain.pacanowski@institutoptique.fr

IEEE Transactions on Visualization and Computer Graphics

|March 7, 2012

Summary

This summary is machine-generated.

Related Concept Videos

Rational Emotive Behavior Therapy

Rational Emotive Behavior Therapy

Cognitive-behavioral therapies (CBTs) are grounded in the belief that our thoughts profoundly influence our emotions and actions. Advocates of CBT emphasize three core assumptions: first, that cognitions are identifiable and measurable; second, that they are central to psychological functioning; and third, that irrational or maladaptive beliefs can be replaced with rational and adaptive ones. This transformative approach to therapy has paved the way for specific models such as Albert Ellis's...

Rational Expressions

Rational Expressions

Rational expressions are algebraic fractions in which both the numerator and the denominator are polynomials. These expressions follow the arithmetic rules of numerical fractions but require extra care due to the presence of variables. A fundamental part of working with rational expressions is identifying values that make the expression undefined, typically those that result in division by zero or undefined radicals.Determining the DomainThe domain of a rational expression includes all real...

Rationalizing Substitutions

Rationalizing Substitutions

Integrals involving non-rational functions are often difficult to evaluate using standard techniques, especially when radicals appear in the integrand. Rationalizing substitution provides a systematic method for simplifying such integrals by converting them into rational forms that are easier to handle.Consider a rod whose linear mass density depends on a constant linear density, a characteristic length, and the distance from the left end of the rod. Determining the total mass requires...

Integration of Rational Functions Using Partial Fractions

Integration of Rational Functions Using Partial Fractions

Rational functions are expressions written as the ratio of two polynomials, and their integrals are evaluated by simplifying the integrand into manageable parts. These functions are classified as proper or improper based on the degrees of the numerator and denominator.A rational function is proper when the degree of the numerator is less than the degree of the denominator. In this case, partial fraction decomposition is used to rewrite the function as a sum of simpler rational terms. The...

Law of Rational Indices

Law of Rational Indices

The Law of rational indices is a fundamental principle in the field of crystallography. According to this law, the intercepts of a crystal face along the crystallographic axes (the three-dimensional axes along which a crystal is measured) can be expressed as either equivalent to the unit intercepts (a, b, c) or simple whole number multiples of them. These multiples are typically denoted as na, n'b, and n''c, where n, n', and n'' are simple whole numbers.To illustrate, consider a crystal with...

Radial System Protection

Radial System Protection

Radial systems employ time-delay overcurrent relays to reduce load interruptions. When a fault occurs, the nearest breaker opens first, while upstream breakers remain closed due to longer delay settings. This approach ensures minimal disruption to the rest of the system.
In a radial system with a fault downstream of the third breaker, ideally, only the third breaker will open, isolating the fault and interrupting the load connected beyond it. The second breaker has a longer delay setting,...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

La Coupole: an SVBRDF measurement device for large and non-planar objects.

Optics express·2026

Same author

LaPDA: Latent-Space Point Cloud Denoising With Adaptivity.

IEEE transactions on visualization and computer graphics·2025

Same author

Data-driven correction for the masking model of Smith.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025

Same author

Supercontinuum laser-based gonio-scatterometer for in and out-of-plane spectral BRDF measurements.

Optics express·2024

Same author

Visibility Evaluation in Microfacet Theory.

IEEE transactions on visualization and computer graphics·2024

Same author

The visual appearances of disordered optical metasurfaces.

Nature materials·2022

Same journal

Blue Noise Dithering for Reservoir-based Spatio-temporal Importance Resampling.

IEEE transactions on visualization and computer graphics·2026

Same journal

ROS-GS: Relightable Outdoor Scenes With Gaussian Splatting.

IEEE transactions on visualization and computer graphics·2026

Same journal

MesoSplats: Texture Synthesis with Gaussian Splatting.

IEEE transactions on visualization and computer graphics·2026

Same journal

GLLA: A Unified Force-Directed Graph Layout Framework Supporting Local Adjustments.

IEEE transactions on visualization and computer graphics·2026

Same journal

Multi-Perception Crowd: Learning to combine entity and implicit perception for diverse crowd simulation.

IEEE transactions on visualization and computer graphics·2026

Same journal

Hiding in Plain Sight: Camouflaging Real-world Objects.

IEEE transactions on visualization and computer graphics·2026

See all related articles

This study introduces Rational BRDF, an efficient method for representing material reflectance data. Rational BRDFs enable compact storage and real-time rendering of complex Bidirectional Reflectance Distribution Functions (BRDFs).

Area of Science:

Computer Graphics
Material Science

Background:

Accurate Bidirectional Reflectance Distribution Function (BRDF) measurement is crucial for realistic rendering.
Large BRDF data sizes and complex model fitting hinder real-time applications.

Purpose of the Study:

To introduce Rational BRDF, a novel, efficient representation for arbitrary BRDFs.
To demonstrate the advantages of Rational BRDFs for compact storage and real-time rendering.

Main Methods:

Developed a representation for BRDFs based on Rational Functions (RFs).
Adapted parametrization for efficient fitting of measured material data.
Applied RF fitting to derive the inverse Cumulative Distribution Function (CDF) for Monte-Carlo rendering.

Main Results:

More Related Videos

Bioluminescence Resonance Energy Transfer (BRET)-Based Assay for Measuring Interactions of CRAF with 14-3-3 Proteins in Live Cells

Bioluminescence Resonance Energy Transfer (BRET)-Based Assay for Measuring Interactions of CRAF with 14-3-3 Proteins in Live Cells

Published on: March 1, 2024

Related Experiment Videos

Last Updated: May 24, 2026

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

RBDT: A Computerized Task System based in Transposition for the Continuous Analysis of Relational Behavior Dynamics in Humans

Published on: July 17, 2021

Bioluminescence Resonance Energy Transfer (BRET)-Based Assay for Measuring Interactions of CRAF with 14-3-3 Proteins in Live Cells

Bioluminescence Resonance Energy Transfer (BRET)-Based Assay for Measuring Interactions of CRAF with 14-3-3 Proteins in Live Cells

Published on: March 1, 2024

Rational BRDFs provide a more compact and efficient representation using low-degree RFs.
Achieved accurate fitting of measured materials with controlled residual error.
Enabled efficient importance sampling for Monte-Carlo rendering.

Conclusions:

Rational BRDF offers a general-purpose and efficient solution for representing and rendering complex BRDFs.
This method facilitates real-time applications and improves the accuracy of rendering processes.