Curved Image Triangulation Based on Differentiable Rendering
No Thumbnail Available
Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
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.
Description
CCS Concepts: Computing methodologies → Image processing; Shape modeling
@article{10.1111:cgf.15232,
journal = {Computer Graphics Forum},
title = {{Curved Image Triangulation Based on Differentiable Rendering}},
author = {Wang, Wanyi and Chen, Zhonggui and Fang, Lincong and Cao, Juan},
year = {2024},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.},
ISSN = {1467-8659},
DOI = {10.1111/cgf.15232}
}