In recent years, static meshes with texture maps have become one of the most
prevalent digital representations of 3D shapes in various applications, such as
animation, gaming, medical imaging, and cultural heritage applications.
However, little research has been done on the quality assessment of textured
meshes, which hinders the development of quality-oriented applications, such as
mesh compression and enhancement. In this paper, we create a large-scale
textured mesh quality assessment database, namely SJTU-TMQA, which includes 21
reference meshes and 945 distorted samples. The meshes are rendered into
processed video sequences and then conduct subjective experiments to obtain
mean opinion scores (MOS). The diversity of content and accuracy of MOS has
been shown to validate its heterogeneity and reliability. The impact of various
types of distortion on human perception is demonstrated. 13 state-of-the-art
objective metrics are evaluated on SJTU-TMQA. The results report the highest
correlation of around 0.6, indicating the need for more effective objective
metrics. The SJTU-TMQA is available at this https URL

该研究创建了一个大规模的纹理网格质量评估数据库，通过主观实验获得平均意见得分，并评估了 13 种先进的客观指标，结果显示需要更有效的客观指标。

SJTU-TMQA：一种用于带纹理映射的静态网格的质量评估数据库

SJTU-TMQA: A quality assessment database for static mesh with texture  map

The discrete Laplace operator is ubiquitous in spectral shape analysis, since
its eigenfunctions are provably optimal in representing smooth functions
defined on the surface of the shape. Indeed, subspaces defined by its
eigenfunctions have been utilized for shape compression, treating the
coordinates as smooth functions defined on the given surface. However, surfaces
of shapes in nature often contain geometric structures for which the general
smoothness assumption may fail to hold. At the other end, some explicit mesh
compression algorithms utilize the order by which vertices that represent the
surface are traversed, a property which has been ignored in spectral
approaches. Here, we incorporate the order of vertices into an operator that
defines a novel spectral domain. We propose a method for representing 3D meshes
using the spectral geometry of the Hamiltonian operator, integrated within a
sparse approximation framework. We adapt the concept of a potential function
from quantum physics and incorporate vertex ordering information into the
potential, yielding a novel data-dependent operator. The potential function
modifies the spectral geometry of the Laplacian to focus on regions with finer
details of the given surface. By sparsely encoding the geometry of the shape
using the proposed data-dependent basis, we improve compression performance
compared to previous results that use the standard Laplacian basis and spectral
graph wavelets.

利用 Hamilton 算子的光谱几何及稀疏逼近框架，在顶点排序信息的基础上改进了离散 Laplace 算子，提出了一种数据相关的算子，从而实现了对 3D 网格的良好压缩性能。