Year: 2018

In this paper, we explore a dimensionality reduction technique that achieves the criterion of homology preservation, a generalized version of topology preservation. Specifically, we use topology-inspired manifold landmarking and manifold tearing to aid such a process and evaluate their effectiveness. Continue reading

Assessing the quality of 3D printed models before they are printed remains a challenging problem, particularly when considering point cloud based models. This paper introduces an approach to quality assessment, which uses techniques from the field of Topological Data Analysis to compute a topological abstraction of the eventual printed model. This abstraction enables investigating certain qualities of the model, with respect to print quality, and identify potential anomalies that may appear in the final product. Continue reading

We introduce an approach to calculating join tree that combines three strategies, pruning, spatial-domain parallelization, and value-domain parallelization, to parallelize join tree construction using OpenCL. Continue reading