5 papers
A Novel Bijective Angle and Volume-preservation Balanced Parameterization for -dimensional Manifolds
Tiexiang Li, Wen-Wei Lin, Zhong-Heng Tan +3
We propose a unified framework for bijective parameterizations of -dimensional manifolds that jointly control angular and volumetric distortion through a weighted combination of…
Rapid general Electromagnetic Analysis with computational conformal geometry via Conformal Energy Minimization
Pengcheng Wan, Zhong-Heng Tan, S. T. Chui +2
We recently found that the electromagnetic scattering problem can be very fast in an approach expressing the fields in terms of orthonormal basis functions. In this paper we apply…
A Novel Double Periodic Conformal Flattening Algorithm for Genus-One Surfaces
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
In this paper, we propose novel parameterization methods for genus-one surfaces, called the Double Periodic Conformal Flattening (DPCF) algorithm. The desired conformal map is obta…
-Dimensional Volumetric Stretch Energy Minimization for Volume-/Mass-Preserving Parameterizations
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
In this paper, we develop an dimensional volumetric stretch energy (-VSE) functional for the volume-/mass-preserving parameterization of the -manifolds topologically equi…
A Robust Hessian-based Trust Region Algorithm for Spherical Conformal Parameterizations
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
Surface parameterizations are widely applied in computer graphics, medical imaging and transformation optics. In this paper, we rigorously derive the gradient vector and Hessian ma…