Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: 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).  introduce a new approach complementary to previous methods by optimizing curve geometry. In particular,  propose a novel iterative algorithm based on the theory of shape derivatives. The resulting diffusion curves are clean and ll-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.
['Shuang Zhao', 'Frédo Durand', 'Changxi Zheng']
I am writing a research paper on a idea Inverse Diffusion Curves using Shape Optimization
[{"from": "human", "value": "I am writing a research paper on a idea Inverse Diffusion Curves using Shape Optimization"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: 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).  introduce a new approach complementary to previous methods by optimizing curve geometry. In particular,  propose a novel iterative algorithm based on the theory of shape derivatives. The resulting diffusion curves are clean and ll-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."}]