5 papers
Erase but Preserve: Controllable Removal of Copyrighted Animation Characters via Optimized Semantic Anchors
Qiao Li, Xiaomeng Fu, Wangjia Yu +4
The exceptional generation capabilities of text-to-image diffusion models have raised copyright concerns, particularly the unauthorized reproduction of animation characters. Existi…
Weighted Kernel Functions on Planar Domains
Aakanksha Jain, Kaushal Verma
We study the variation of weighted SzegÅ and Garabedian kernels on planar domains as a function of the weight. A Ramadanov type theorem is shown to hold as the weights vary. As a…
Weighted SzegÅ Kernels on Planar Domains
Aakanksha Jain, Kaushal Verma
We study properties of weighted SzegÅ and Garabedian kernels on planar domains. Motivated by the unweighted case as explained in Bell's work, the starting point is a weighted Kerz…
Weighted Bergman Kernels on Planar Domains
Aakanksha Jain, Kaushal Verma
Boundary Behaviour of Weighted Bergman Kernels: For a planar domain and an admissible weight function on it, some aspects of the boundary behaviour of t…
A Note on Kernel Functions of Dirichlet Spaces
Sahil Gehlawat, Aakanksha Jain, Amar Deep Sarkar
For a planar domain , we consider the Dirichlet spaces with respect to a base point and the corresponding kernel functions. It is not known how these kernel functions…