research-article

Point sampling with general noise spectrum

Authors:

Rui WangAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 31, Issue 4

Article No.: 76, Pages 1 - 11

https://doi.org/10.1145/2185520.2185572

Published: 01 July 2012 Publication History

Abstract

Point samples with different spectral noise properties (often defined using color names such as white, blue, green, and red) are important for many science and engineering disciplines including computer graphics. While existing techniques can easily produce white and blue noise samples, relatively little is known for generating other noise patterns. In particular, no single algorithm is available to generate different noise patterns according to user-defined spectra.

In this paper, we describe an algorithm for generating point samples that match a user-defined Fourier spectrum function. Such a spectrum function can be either obtained from a known sampling method, or completely constructed by the user. Our key idea is to convert the Fourier spectrum function into a differential distribution function that describes the samples' local spatial statistics; we then use a gradient descent solver to iteratively compute a sample set that matches the target differential distribution function. Our algorithm can be easily modified to achieve adaptive sampling, and we provide a GPU-based implementation. Finally, we present a variety of different sample patterns obtained using our algorithm, and demonstrate suitable applications.

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Cited By

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
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Published In

cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 31, Issue 4

July 2012

935 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/2185520

Issue’s Table of Contents

Copyright © 2012 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 July 2012

Published in TOG Volume 31, Issue 4

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Cited By

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
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
Ahmed ARen JWonka P(2022)Gaussian Blue NoiseACM Transactions on Graphics10.1145/3550454.355551941:6(1-15)Online publication date: 30-Nov-2022
https://dl.acm.org/doi/10.1145/3550454.3555519
Huang XMemari PSeidel HSingh G(2022)Point‐Pattern Synthesis using Gabor and Random FiltersComputer Graphics Forum10.1111/cgf.1459641:4(169-179)Online publication date: 30-Jul-2022
https://doi.org/10.1111/cgf.14596
Duchowski A(2022)Gaze-based interactionComputers and Graphics10.1016/j.cag.2018.04.00273:C(59-69)Online publication date: 21-Apr-2022
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Ahmed AWonka P(2021)Optimizing dyadic netsACM Transactions on Graphics10.1145/3450626.345988040:4(1-17)Online publication date: 19-Jul-2021
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van Onzenoodt CSingh GRopinski TRitschel T(2021)Blue Noise PlotsComputer Graphics Forum10.1111/cgf.14264440:2(425-433)Online publication date: 4-Jun-2021
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Duchowski AJörg S(2021)Eye AnimationHandbook of Human Motion10.1007/978-3-319-30808-1_3-1(1-19)Online publication date: 22-Apr-2021
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