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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| Vydáno v: | Computer graphics forum Ročník 43; číslo 7 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Blackwell Publishing Ltd
01.10.2024
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| ISSN: | 0167-7055, 1467-8659 |
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| 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. |
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| AbstractList | 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. |
| Author | Chen, Zhonggui Fang, Lincong Cao, Juan Wang, Wanyi |
| Author_xml | – sequence: 1 givenname: Wanyi surname: Wang fullname: Wang, Wanyi organization: Xiamen University – sequence: 2 givenname: Zhonggui orcidid: 0000-0002-9960-4896 surname: Chen fullname: Chen, Zhonggui organization: Xiamen University – sequence: 3 givenname: Lincong surname: Fang fullname: Fang, Lincong organization: Zhejiang University of Finance & Economics – sequence: 4 givenname: Juan orcidid: 0000-0002-8154-4397 surname: Cao fullname: Cao, Juan email: juancao@xmu.edu.cn organization: Xiamen University |
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| SubjectTerms | CCS Concepts Computing methodologies → Image processing Curves Image processing Image reconstruction Mesh generation Parameters Rendering Shape modeling Triangles Triangulation |
| Title | Curved Image Triangulation Based on Differentiable Rendering |
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