Bijective Density-Equalizing Quasiconformal Map for Multiply Connected Open Surfaces

Z Lyu, GPT Choi, LM Lui - SIAM Journal on Imaging Sciences, 2024 - SIAM
This paper proposes a novel method for computing bijective density-equalizing
quasiconformal flattening maps for multiply connected open surfaces. In conventional …

Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory

GPT Choi - Journal of Scientific Computing, 2021 - Springer
Conformal mapping, a classical topic in complex analysis and differential geometry, has
become a subject of great interest in the area of surface parameterization in recent decades …

Parallelizable global quasi-conformal parameterization of multiply connected surfaces via partial welding

Z Zhu, GPT Choi, LM Lui - SIAM Journal on Imaging Sciences, 2022 - SIAM
Conformal and quasi-conformal mappings have widespread applications in imaging
science, computer vision, and computer graphics and can be used in surface registration …

Fast computation of the circular map

MMS Nasser - Computational Methods and Function Theory, 2015 - Springer
This paper presents a new numerical implementation of Koebe's iterative method for
computing the circular map of bounded and unbounded multiply connected regions of …

[HTML][HTML] Conformal capacity and polycircular domains

H Hakula, MMS Nasser, M Vuorinen - Journal of Computational and …, 2023 - Elsevier
We study numerical conformal mapping of multiply connected planar domains with
boundaries consisting of unions of finitely many circular arcs, so called polycircular domains …

Numerical conformal mapping onto the parabolic, elliptic and hyperbolic slit domains

MMS Nasser - Bulletin of the Malaysian Mathematical Sciences …, 2018 - Springer
This paper presents a numerical method for computing the conformal mappings onto the
parabolic slit domain, the elliptic slit domain and the hyperbolic slit domain. The method …

Road identifying by using electromagnetic sensor and camera in smart car field

X Li, W Li - 2020 IEEE International Conference on Artificial …, 2020 - ieeexplore.ieee.org
In the early centuries of 21 st, self-driving becomes increasingly popular. Because of that,
some technologies related to that are being studied and applied. Smart car control …

[PDF][PDF] Isogeometric segmentation of planar domains using harmonic mappings

A Falini, ML Sampoli - 2016 - epub.jku.at
The aim of this work is to provide an automatic procedure that is able to segment any simply
or multiply connected domain into quadrilateral patches. The basic idea consists in defining …

[PDF][PDF] 3D Technology and Its Impact on the Future of Technology

ST Yau - Notices of the International Consortium of Chinese …, 2015 - intlpress.com
Thank you, Mr. President. And thanks to all the organizers and students. It is a pleasure for
me to be here, at the old site of Southwest Associated University in Yunnan Province today …

[引用][C] Isogeometric segmentation of planar domains using harmonic mappings/eingereicht von Antonella Falini

A Falini - 2016