43 citations · 119 across the 22 of their papers we have counts for
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Free-Boundary Quasiconformal Maps via a Least-squares Operator in Diffeomorphism Optimization
Zhehao Xu, Lok Ming Lui
Free-boundary diffeomorphism optimization, an important and widely occurring task in geometric modeling, computer graphics, and biological imaging, requires simultaneously determin…
Surface parameterization via optimization of relative entropy and quasiconformality
Zhipeng Zhu, Lok Ming Lui
We propose a novel method for parameterizations of triangle meshes by finding an optimal quasiconformal map that minimizes an energy consisting of a relative entropy term and a qua…
A Registration-Based Star-Shape Segmentation Model and Fast Algorithms
Daoping Zhang, Xue-Cheng Tai, Lok Ming Lui
Image segmentation plays a crucial role in extracting objects of interest and identifying their boundaries within an image. However, accurate segmentation becomes challenging when…
Circular Quasiconformal Deturbulence: Geometry-Based Restoration from Multiple Turbulent Frames
Chu Chen, Han Zhang, Lok Ming Lui
Imaging through inhomogeneous media often results in severe distortions, posing significant challenges to downstream image-processing tasks. The lack of clean paired images makes s…
Quasi-Conformal Convolution : A Learnable Convolution for Deep Learning on Simply Connected Open Surfaces
Han Zhang, Tsz Lok Ip, Lok Ming Lui
Deep learning on non-Euclidean domains is important for analyzing complex geometric data that lacks common coordinate systems and familiar Euclidean properties. A central challenge…