A geometric mapping establishes a correspondence between two domains. Since no real
object has zero or negative volume, such a mapping is required to be inversion-free …

We propose an efficient method to construct sparse cone singularities under distortion-
bounded constraints for conformal parameterizations. Central to our algorithm is using the …

Due to the high dimensionality of point cloud data and the irregularity and complexity of its
geometric structure, effective attribute compression remains a very challenging task. Many …

We present a novel method to compute bijective volumetric domain parameterizations with
low distortion for isogeometric analysis. Central to this approach is a simultaneous …

We present a novel method to construct compatible surface meshes with bounded
approximation errors. Given two oriented and topologically equivalent surfaces and a sparse …

We propose a novel method to generate sparse cone singularities with bounded distortion
constraints for conformal parameterizations. It is formulated as minimizing the ℓ 0-norm of …

Computing volumetric domain parameterizations is a fundamental problem in isogeometric
analysis. However, existing methods cannot reduce the distortion of the parameterization …

We present a robust method to generate atlases with low isometric distortion and high
packing efficiency. Given a surface that has been cut to disk topology, the algorithm contains …

计算域的体参数化是等几何分析的基础问题, 针对现有方法的结果扭曲过高的问题,
提出一种面向等几何分析的低扭曲B 样条体参数化方法. 该方法将参数域的几何形状引入优化来 …

Many geometric optimization problems contain manifold constraints that restrict the
optimized vertices on some specified manifold surface. The constraints are highly nonlinear …