7 papers
Adaptive Volumetric Parameterization of Simply Connected 3-Manifolds with Applications
Zhiyuan Lyu, Gary P. T. Choi, Qiguang Chen +1
Volumetric parameterization, the process of mapping a 3-manifold onto a simplified volumetric domain, is important for many tasks in computer graphics and imaging science. However,…
Learning Task-Aware Sampling with Shared Saliency through Density-Equalizing Mappings
Tsz Lok Ip, Han Zhang, Lok Ming Lui
In image and surface-based learning tasks, convolutional features are typically extracted using receptive fields that are sampled uniformly across the entire domain. However, infor…
Resolution-free neural surrogates for geometric parameterization and mapping with spatially varying fields
Yanwen Huang, Lok Ming Lui, Gary P. T. Choi
Many imaging problems require computing spatial transformations induced by spatially varying intensity, feature, or density fields. Canonical examples include distortion correction…
Optimization of Constrained Quasiconformal Mapping for Origami Design
Ka Ho Lai, Hei Tung Tsang, Gary P. T. Choi +1
Origami structures, particularly Miura-ori patterns, offer unique capabilities for surface approximation and deployable designs. In this study, a constrained mapping optimization a…
Ellipsoidal Density-Equalizing Map for Genus-0 Closed Surfaces
Zhiyuan Lyu, Lok Ming Lui, Gary P. T. Choi
Surface parameterization is a fundamental task in geometry processing and plays an important role in many science and engineering applications. In recent years, the density-equaliz…
Volumetric Parameterization for 3-Dimensional Simply-Connected Manifolds
Zhiyuan Lyu, Qiguang Chen, Gary P. T. Choi +1
With advances in technology, there has been growing interest in developing effective mapping methods for 3-dimensional objects in recent years. Volumetric parameterization for 3D s…