Inverse Diffusion Curves using Shape Optimization
Name
1610.02769.pdf
Description
Accepted version
Size
5.41 MB
Format
Unknown
Checksum (MD5)
757ae9bed5f4f74f791af3b1e070f4c3
Author(s)
Zhao, Shuang
Durand, Frédo
Zheng, Changxi
Date Issued
2018
Journal
IEEE Transactions on Visualization and Computer Graphics
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Shuang, Zhao, F. Durand, and Zheng Changxi. "Inverse Diffusion Curves Using Shape Optimization [Arxiv]." arXiv (2016): 14 pp.
Version
Original manuscript
Abstract
© 1995-2012 IEEE. The inverse diffusion curve problem focuses on automatic creation of diffusion curve images that resemble user provided color fields. This problem is challenging since the 1D curves have a nonlinear and global impact on resulting color fields via a partial differential equation (PDE). We introduce a new approach complementary to previous methods by optimizing curve geometry. In particular, we propose a novel iterative algorithm based on the theory of shape derivatives. The resulting diffusion curves are clean and well-shaped, and the final image closely approximates the input. Our method provides a user-controlled parameter to regularize curve complexity, and generalizes to handle input color fields represented in a variety of formats.
MIT Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/TVCG.2017.2721400
