Large image databases are used in an extraordinary number of multimedia applications in
fields such as entertainment, business, art, engineering, and science. Retrieving images by …

The fundamental model of all solid crystalline materials is a periodic set of atomic centers
considered up to rigid motion in Euclidean space. The major obstacle to materials discovery …

Shape matching is an important ingredient in shape retrieval, recognition and classification,
alignment and registration, and approximation and simplification. This paper treats various …

Rigid structures such as cars or any other solid objects are often represented by finite clouds
of unlabeled points. The most natural equivalence on these point clouds is rigid motion or …

Research on parameterized algorithmics for NP-hard problems has steadily grown over the
last years. We survey and discuss how parameterized complexity analysis naturally …

The fundamental model of all solid crystalline materials (periodic crystals) is a periodic set of
atomic centers considered up to rigid motion in Euclidean space. The major obstacle to …

We propose a 2-WL-like geometric graph isomorphism test and prove it is complete when
applied to Euclidean Graphs in $\mathbb {R}^ 3$. We then use recent results on multiset …

Periodic point sets model all solid crystalline materials (crystals) whose structures are
determined in a rigid form. The emergent area of Periodic Geometry classifies periodic point …

The most fundamental model of a molecule is a cloud of unordered atoms, even without
chemical bonds that can depend on thresholds for distances and angles. The strongest …

Neural networks for point clouds, which respect their natural invariance to permutation and
rigid motion, have enjoyed recent success in modeling geometric phenomena, from …