Efficient bijective parameterizations

JP Su, C Ye, L Liu, XM Fu - ACM Transactions on Graphics (TOG), 2020 - dl.acm.org
… method to efficiently compute bijective parameterizations with … To design an efficient solver,
we develop two key techniques. … -art methods for optimizing bijective parameterizations, our …

Memory‐Efficient Bijective Parameterizations of Very‐Large‐Scale Models

C Ye, JP Su, L Liu, XM Fu - Computer Graphics Forum, 2020 - Wiley Online Library
… ie, bijective parameterization construction. To this end, we present a spline-enhanced method
to compute bijective and low distortion parameterizations … to obtain bijective initializations, …

Bijective parameterization with free boundaries

J Smith, S Schaefer - ACM Transactions on Graphics (TOG), 2015 - dl.acm.org
bijective surface parameterizationsEfficient parameterization of point-sampled surfaces
is a fundamental problem in the field of digital geometry processing. In order to parameterize a …

Bijective spherical parametrization with low distortion

C Wang, X Hu, X Fu, L Liu - Computers & Graphics, 2016 - Elsevier
… Given an initial bijective spherical parametrization, with high distortion, we develop a non-…
, we efficiently and robustly achieve a bijective and low distortion parametrization with an …

Parametric finite elements with bijective mappings

P Zulian, T Schneider, K Hormann, R Krause - BIT Numerical Mathematics, 2017 - Springer
… our study on volume parameterization between arbitrary surface … the construction of the
volume parameterization b (Sect. 3.2), … The integration of our approach with efficient and modern …

Efficient optimization of common base domains for cross parameterization

TH Kwok, Y Zhang, CCL Wang - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
… of models having similar features and topologies, the cross parameterization technique can
establish a bijective mapping constrained by the anchor points. In this paper, we present an …

Volumetric parameterization with truncated hierarchical B-splines for isogeometric analysis

Y Zheng, F Chen - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
… Constructing spline parameterizations for computational … In this paper, we present an
efficient method for parameterizing … As a necessary condition for bijective parameterization, we …

Bijective maps from simplicial foliations

M Campen, CT Silva, D Zorin - ACM Transactions on Graphics (TOG), 2016 - dl.acm.org
… This paper presents a method for bijective parametrization of … This general principle allows
to bijectively parameterize any … shellable meshes, and the efficient algorithm we introduce is …

[PDF][PDF] Progressive parameterizations.

L Liu, C Ye, R Ni, XM Fu - ACM Trans. Graph., 2018 - ruiqini.github.io
… theoretically guaranteed to generate bijective parameterizations that do not flip…
parameterizations with high efficiency and practical reliability. To this end, we have developed an …

Advanced hierarchical spherical parameterizations

X Hu, XM Fu, L Liu - IEEE transactions on visualization and …, 2017 - ieeexplore.ieee.org
… 3.1 Algorithm Overview We study bijective spherical parameterization for a given genus-zero …
, the details of the input surface can be refined efficiently and easily (see the last several …