In topological data analysis and visualization, topological descriptors such as persistence
diagrams, merge trees, contour trees, Reeb graphs, and Morse–Smale complexes play an …

The recent introduction of 3D shape analysis frameworks able to quantify the deformation of
a shape into another in terms of the variation of real functions yields a new interpretation of …

Large-scale 3D shape retrieval has become an important research direction in content-
based 3D shape retrieval. To promote this research area, two Shape Retrieval Contest …

3-D shape analysis has attracted extensive research efforts in recent years, where the major
challenge lies in designing an effective high-level 3-D shape feature. In this paper, we …

Reeb graphs are structural descriptors that capture shape properties of a topological space
from the perspective of a chosen function. In this work, we define a combinatorial distance …

An assembly provides significant knowledge in design reuse, since it can represent parts
information and their relationships comprehensively. The retrieval of assembly has the …

For 3D shape analysis, an effective and efficient feature is the key to popularize its
applications in 3D domain where the major challenge lies in designing an effective high …

This paper proposes a new fully automatic computational framework from continuum
structural topology optimization to beam structure design. Firstly, the continuum structural …

Content-based 3D object retrieval is a challenging problem in computer vision and graphics,
especially for non-rigid 3D shapes. This article proposes a multiview-based robust point …

Assembly retrieval is a significant technology to reuse the abundant design knowledge
embedded in the products. However, the existing assembly retrieval methods are very few …