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

More and more diversified environmental art design, combined with advanced 3‐D virtual
virtual reality (VR) technology, has made great contributions to the development of modern …

We propose a novel method to compute a piecewise mesh with a few developable patches
and a small approximation error for an input triangular mesh. Our key observation is that a …

Augmented reality refers to the use of new display technology, multimedia technology, and
human‐computer interaction technology to superimpose computer‐generated virtual …

Developable surfaces are commonly observed in various applications such as architecture,
product design, manufacturing, mechanical materials, and data physicalization as well as in …

Polarized light mosaics (PLMs) are color-changing structures that alter their appearance
based on the orientation of incident polarized light. While a few artists have developed …

We present a novel method to construct short cuts for parameterizations with low isometric
distortion. The algorithm contains two steps:(i) detect feature points, where the distortion is …

Low isometric distortion is often required for mesh parameterizations. A configuration of
some vertices, where the distortion is concentrated, provides a way to mitigate isometric …

The study is aimed at solving the problem of large measurement errors caused by the
binocular camera in traditional 3D art design, which leads to inaccurate 3D information of …

We introduce a novel framework for surface cutting and flattening, aiming to align the
boundary of planar parameterization with a target shape. Diverging from traditional methods …