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Differentiable Rendering of Parametric Geometry

Authors:

Markus Worchel,

Marc AlexaAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 42, Issue 6

Article No.: 232, Pages 1 - 18

https://doi.org/10.1145/3618387

Published: 05 December 2023 Publication History

Abstract

We propose an efficient method for differentiable rendering of parametric surfaces and curves, which enables their use in inverse graphics problems. Our central observation is that a representative triangle mesh can be extracted from a continuous parametric object in a differentiable and efficient way. We derive differentiable meshing operators for surfaces and curves that provide varying levels of approximation granularity. With triangle mesh approximations, we can readily leverage existing machinery for differentiable mesh rendering to handle parametric geometry. Naively combining differentiable tessellation with inverse graphics settings lacks robustness and is prone to reaching undesirable local minima. To this end, we draw a connection between our setting and the optimization of triangle meshes in inverse graphics and present a set of optimization techniques, including regularizations and coarse-to-fine schemes. We show the viability and efficiency of our method in a set of image-based computer-aided design applications.

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Cited By

Yuan HBousseau APan HZhang QMitra NLi C(2024)DiffCSG: Differentiable CSG via RasterizationSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687608(1-10)Online publication date: 3-Dec-2024
https://doi.org/10.1145/3680528.3687608
Choi CLee JPark JKim Y(2024)3Doodle: Compact Abstraction of Objects with 3D StrokesACM Transactions on Graphics10.1145/365815643:4(1-13)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658156
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https://dl.acm.org/doi/10.1145/3641519.3657453
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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 42, Issue 6

December 2023

1565 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/3632123

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Copyright © 2023 Owner/Author.

This work is licensed under a Creative Commons Attribution International 4.0 License.

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Published: 05 December 2023

Published in TOG Volume 42, Issue 6

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Cited By

Yuan HBousseau APan HZhang QMitra NLi C(2024)DiffCSG: Differentiable CSG via RasterizationSIGGRAPH Asia 2024 Conference Papers10.1145/3680528.3687608(1-10)Online publication date: 3-Dec-2024
https://doi.org/10.1145/3680528.3687608
Choi CLee JPark JKim Y(2024)3Doodle: Compact Abstraction of Objects with 3D StrokesACM Transactions on Graphics10.1145/365815643:4(1-13)Online publication date: 19-Jul-2024
https://dl.acm.org/doi/10.1145/3658156
Tojo KShamir ABickel BUmetani N(2024)Fabricable 3D Wire ArtACM SIGGRAPH 2024 Conference Papers10.1145/3641519.3657453(1-11)Online publication date: 13-Jul-2024
https://dl.acm.org/doi/10.1145/3641519.3657453
Vaitkus MSalvi PVárady T(2024)Interior control structure for Generalized Bézier patches over curved domainsComputers and Graphics10.1016/j.cag.2024.103952121:COnline publication date: 18-Nov-2024
https://dl.acm.org/doi/10.1016/j.cag.2024.103952

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