We introduce ABC-Dataset, a collection of one million Computer-Aided Design (CAD)
models for research of geometric deep learning methods and applications. Each model is a …

In this paper we investigate the usage of persistent point feature histograms for the problem
of aligning point cloud data views into a consistent global model. Given a collection of noisy …

This paper proposes a novel way of characterizing the local geometry of 3D points, using
persistent feature histograms. The relationships between the neighbors of a point are …

We present an anisotropic point cloud denoising method using L 0 minimization. The L 0
norm directly measures the sparsity of a solution, and we observe that many common …

Nematic order on curved surfaces is often disrupted by the presence of topological defects,
which are singular regions in which the orientational order is undefined. In the presence of …

Comparing points on 3D shapes is among the fundamental operations in shape analysis. To
facilitate this task, a great number of local point signatures or descriptors have been …

Data-driven methods serve an increasingly important role in discovering geometric,
structural, and semantic relationships between shapes. In contrast to traditional approaches …

With better and faster acquisition devices comes a demand for fast robust reconstruction
algorithms, but no L1-based technique has been fast enough for online use so far. In this …

We present a novel approach to sketching 2D curves with minimally varying curvature as
piecewise clothoids. A stable and efficient algorithm fits a sketched piecewise linear curve …

This paper presents a simple and efficient automatic mesh segmentation algorithm that
solely exploits the shape concavity information. The method locates concave creases and …