  This paper presents a simple yet very effective data-driven approach to fuse
both low-level and high-level local geometric features for 3D rigid data
matching. It is a common practice to generate distinctive geometric descriptors
by fusing low-level features from various viewpoints or subspaces, or enhance
geometric feature matching by leveraging multiple high-level features. In prior
works, they are typically performed via linear operations such as concatenation
and min pooling. We show that more compact and distinctive representations can
be achieved by optimizing a neural network (NN) model under the triplet
framework that non-linearly fuses local geometric features in Euclidean spaces.
The NN model is trained by an improved triplet loss function that fully
leverages all pairwise relationships within the triplet. Moreover, the fused
descriptor by our approach is also competitive to deep learned descriptors from
raw data while being more lightweight and rotational invariant. Experimental
results on four standard datasets with various data modalities and application
contexts confirm the advantages of our approach in terms of both feature
matching and geometric registration.
