article

Fast hierarchical importance sampling with blue noise properties

Authors:

Victor Ostromoukhov,

Charles Donohue,

Pierre-Marc JodoinAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 23, Issue 3

Pages 488 - 495

https://doi.org/10.1145/1015706.1015750

Published: 01 August 2004 Publication History

Abstract

This paper presents a novel method for efficiently generating a good sampling pattern given an importance density over a 2D domain. A Penrose tiling is hierarchically subdivided creating a sufficiently large number of sample points. These points are numbered using the Fibonacci number system, and these numbers are used to threshold the samples against the local value of the importance density. Pre-computed correction vectors, obtained using relaxation, are used to improve the spectral characteristics of the sampling pattern. The technique is deterministic and very fast; the sampling time grows linearly with the required number of samples. We illustrate our technique with importance-based environment mapping, but the technique is versatile enough to be used in a large variety of computer graphics applications, such as light transport calculations, digital halftoning, geometry processing, and various rendering techniques.

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Cited By

Lau CXia MWong T(2024)Taming Reversible Halftoning Via Predictive LuminanceIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2023.327869130:8(4841-4852)Online publication date: 1-Aug-2024
https://dl.acm.org/doi/10.1109/TVCG.2023.3278691
Doignies BBonneel NCoeurjolly DDigne JPaulin LIehl JOstromoukhov V(2023)Example-Based Sampling with Diffusion ModelsSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618243(1-11)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618243
Bærentzen JFrisvad JMartínez J(2023)Curl Noise JitteringSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618163(1-11)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618163
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Index Terms

Fast hierarchical importance sampling with blue noise properties
1. Computing methodologies
  1. Computer graphics
    1. Image manipulation
    2. Rendering

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Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 23, Issue 3

August 2004

684 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/1015706

Editor:
John C. Hart

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Copyright © 2004 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 01 August 2004

Published in TOG Volume 23, Issue 3

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Cited By

Lau CXia MWong T(2024)Taming Reversible Halftoning Via Predictive LuminanceIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2023.327869130:8(4841-4852)Online publication date: 1-Aug-2024
https://dl.acm.org/doi/10.1109/TVCG.2023.3278691
Doignies BBonneel NCoeurjolly DDigne JPaulin LIehl JOstromoukhov V(2023)Example-Based Sampling with Diffusion ModelsSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618243(1-11)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618243
Bærentzen JFrisvad JMartínez J(2023)Curl Noise JitteringSIGGRAPH Asia 2023 Conference Papers10.1145/3610548.3618163(1-11)Online publication date: 10-Dec-2023
https://dl.acm.org/doi/10.1145/3610548.3618163
Huang XRitschel TSeidel HMemari PSingh G(2023)Patternshop: Editing Point Patterns by Image ManipulationACM Transactions on Graphics10.1145/359241842:4(1-14)Online publication date: 26-Jul-2023
https://dl.acm.org/doi/10.1145/3592418
Noh GChoi HMoon B(2023)Enhanced Direct Lighting Using Visibility-Aware Light SamplingAdvances in Computer Graphics10.1007/978-3-031-50072-5_15(187-198)Online publication date: 28-Aug-2023
https://dl.acm.org/doi/10.1007/978-3-031-50072-5_15
Salaün CGeorgiev ISeidel HSingh G(2022)Scalable Multi-Class Sampling via Filtered Sliced Optimal TransportACM Transactions on Graphics10.1145/3550454.355548441:6(1-14)Online publication date: 30-Nov-2022
https://dl.acm.org/doi/10.1145/3550454.3555484
Leung HWang ZHo TLeung CWong E(2021)All Frequency Direct Illumination Using Visibility Correspondence Generated With Spherical Voronoi DiagramsIEEE Access10.1109/ACCESS.2021.30846119(81296-81313)Online publication date: 2021
https://doi.org/10.1109/ACCESS.2021.3084611
Fabarisova AKartak V(2021)Solving Irregular Polyomino Tiling Problem Using Simulated Annealing and Integer ProgrammingMathematical Optimization Theory and Operations Research: Recent Trends10.1007/978-3-030-86433-0_12(175-183)Online publication date: 21-Sep-2021
https://doi.org/10.1007/978-3-030-86433-0_12
Paulin LBonneel NCoeurjolly DIehl JWebanck ADesbrun MOstromoukhov V(2020)Sliced optimal transport samplingACM Transactions on Graphics10.1145/3386569.339239539:4(99:1-99:17)Online publication date: 12-Aug-2020
https://dl.acm.org/doi/10.1145/3386569.3392395
Lanaro MPerrier HCoeurjolly DOstromoukhov VRizzi A(2020)Blue-noise sampling for human retinal cone spatial distribution modelingJournal of Physics Communications10.1088/2399-6528/ab80644:3(035013)Online publication date: 30-Mar-2020
https://doi.org/10.1088/2399-6528/ab8064
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