Curved Image Triangulation Based on Differentiable Rendering

Image triangulation methods, which decompose an image into a series of triangles, are fundamental in artistic creation and image processing. This paper introduces a novel framework that integrates cubic Bézier curves into image triangulation, enabling the precise reconstruction of curved image featu...

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Bibliographic Details
Published in:Computer graphics forum Vol. 43; no. 7
Main Authors: Wang, Wanyi, Chen, Zhonggui, Fang, Lincong, Cao, Juan
Format: Journal Article
Language:English
Published: Oxford Blackwell Publishing Ltd 01.10.2024
Subjects:
CCS Concepts
Computing methodologies → Image processing
Curves
Image processing
Image reconstruction
Mesh generation
Parameters
Rendering
Shape modeling
Triangles
Triangulation
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:Image triangulation methods, which decompose an image into a series of triangles, are fundamental in artistic creation and image processing. This paper introduces a novel framework that integrates cubic Bézier curves into image triangulation, enabling the precise reconstruction of curved image features. Our developed framework constructs a well‐structured curved triangle mesh, effectively preventing overlaps between curves. A refined energy function, grounded in differentiable rendering, establishes a direct link between mesh geometry and rendering effects and is instrumental in guiding the curved mesh generation. Additionally, we derive an explicit gradient formula with respect to mesh parameters, facilitating the adaptive and efficient optimization of these parameters to fully leverage the capabilities of cubic Bézier curves. Through experimental and comparative analyses with state‐of‐the‐art methods, our approach demonstrates a significant enhancement in both numerical accuracy and visual quality.
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.15232