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Poisson-Based Continuous Surface Generation for Goal-Based Caustics

Published: 02 June 2014 Publication History

Abstract

We present a technique for computing the shape of a transparent object that can generate user-defined caustic patterns. The surface of the object generated using our method is smooth. Thanks to this property, the resulting caustic pattern is smooth, natural, and highly detailed compared to the results btained using previous methods. Our method consists of two processes. First, we use a differential geometry approach to compute a smooth mapping between the distributions of the incident light and the light reaching the screen. Second, we utilize this mapping to compute the surface of the object. We solve Poisson's equation to compute both the mapping and the surface of the object.

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Supplemental movie, appendix, image and software files for, Poisson-Based Continuous Surface Generation for Goal-Based Caustics
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Published In

cover image ACM Transactions on Graphics
ACM Transactions on Graphics  Volume 33, Issue 3
May 2014
145 pages
ISSN:0730-0301
EISSN:1557-7368
DOI:10.1145/2631978
Issue’s Table of Contents
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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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 02 June 2014
Accepted: 01 January 2014
Revised: 01 December 2013
Received: 01 February 2013
Published in TOG Volume 33, Issue 3

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Author Tags

  1. Caustics
  2. Poisson equation
  3. continuous
  4. surface generation

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  • (2024)Specular Object Reconstruction Behind Frosted Glass by Differentiable Rendering2024 IEEE/CVF Winter Conference on Applications of Computer Vision (WACV)10.1109/WACV57701.2024.00400(4035-4044)Online publication date: 3-Jan-2024
  • (2024)Mesh-Based Double-Sided Freeform Lens OptimizationEPJ Web of Conferences10.1051/epjconf/202430903016309(03016)Online publication date: 31-Oct-2024
  • (2023)Sculpting optical fields into caustic patterns based on freeform opticsOptica10.1364/OPTICA.50626810:12(1688)Online publication date: 15-Dec-2023
  • (2023)Scratch-based Reflection Art via Differentiable RenderingACM Transactions on Graphics10.1145/359214242:4(1-12)Online publication date: 26-Jul-2023
  • (2023)NeTO:Neural Reconstruction of Transparent Objects with Self-Occlusion Aware Refraction-Tracing2023 IEEE/CVF International Conference on Computer Vision (ICCV)10.1109/ICCV51070.2023.01700(18501-18511)Online publication date: 1-Oct-2023
  • (2023)Bending the light: Next generation anamorphic sculpturesComputers & Graphics10.1016/j.cag.2023.05.023114(210-218)Online publication date: Aug-2023
  • (2022)Survey on computational 3D visual optical art designVisual Computing for Industry, Biomedicine, and Art10.1186/s42492-022-00126-z5:1Online publication date: 19-Dec-2022
  • (2022)ASEACM Transactions on Graphics10.1145/3528223.353011041:4(1-17)Online publication date: 22-Jul-2022
  • (2022)Adjoint nonlinear ray tracingACM Transactions on Graphics10.1145/3528223.353007741:4(1-13)Online publication date: 22-Jul-2022
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