The Shape Of An Image – A Study Of Mapper On Images
We study the topological construction called Mapper in the context of simply connected domains, in particular on images.
Continue readingAssociate Professor, University of Utah
We study the topological construction called Mapper in the context of simply connected domains, in particular on images.
Continue readingAssessing 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 readingWe 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 readingThis paper revisits a more than half-a century-old problem: slice a free-form object into layers for manufacturing. A point-based approach is taken that would have been prohibitive even a decade ago.
Continue readingIn this paper, we perform a
feasibility study for applying topological data analysis and visualization techniques never before tested by the ALMA (Atacama Large Millimeter Array) community. Through techniques based on contour trees, we seek to improve upon existing analysis and visualization workflows of ALMA data cubes, in terms of accuracy and speed in feature extraction.
Distributed mapper Mustafa Hajij, Basem Assiri, and Paul Rosen arXiv preprint arXiv:1712.03660, 2017
Continue readingIn this paper, ten key challenges and their implications for CAD cyber education are discussed. The purpose of this paper is not to provide a dismal outlook for cyberlearning, but to incite discussion, research, and development into these areas with the anticipation of a viable and attractive alternative to traditional classroom education.
Continue readingIn this paper, we propose a new framework to implement visualization peer review in the classroom to engage students. This framework can be customized for incremental and double-blind review to inspire students and reinforce critical thinking about visualization.
Continue readingA hybrid solution to calculating augmented join trees of 2d scalar fields in parallel Paul Rosen, Junyi Tu, and Les Piegl
Continue readingThis patent describes a technique for visualization of the movement of data within a computer for software optimization.
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