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A survey of dimension reduction methods for high-dimensional data analysis and visualization

A survey of dimension reduction methods for high-dimensional...

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International Research and Training Group 1131 Workshop on visualization of Large and Unstructured Data Sets: Applications in Geospatial Planning, Modeling and Engineering, VLUDS 2011

作者： Engel, Daniel Hüttenberger, Lars Hamann, Bernd Computer Graphics and HCI Group University of Kaiserslautern Germany CS Department Institute for Data Analysis and Visualization University of California Davis United States

ISBN: (纸本)9783939897460

Dimension reduction is commonly defined as the process of mapping high-dimensional data to a lower-dimensional embedding. Applications of dimension reduction include, but are not limited to, filtering, compression, regression, classification, feature analysis, and visualization. We review methods that compute a point-based visual representation of high-dimensional data sets to aid in exploratory data analysis. The aim is not to be exhaustive but to provide an overview of basic approaches, as well as to review select state-of-the-art methods. Our survey paper is an introduction to dimension reduction from a visualization point of view. Subsequently, a comparison of state-of-the-art methods outlines relations and shared research foci.

关键词： visualization

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Fully Automatic Mechanical Scan Range Extension and Signal to Noise Optimization of a Lens-Shifted Structured Light System

Fully Automatic Mechanical Scan Range Extension and Signal t...

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2021 Eurographics Workshop on graphics and Cultural Heritage, EG GCH 2021

作者： Kutlu, H. Ritz, M. Santos, P. Fellner, D.W. Fraunhofer IGD Germany Graz University of Technology Institute of Computer Graphics and Knowledge Visualization Austria TU Darmstadt Germany

ISBN: (纸本)9783038681410

Digitization of cultural heritage is of growing importance, both for its preservation for coming generations in the face of looming dangers of natural decay or intentional destruction, and current generations, that increasingly have access to virtual cultural heritage for interactive exploring or scientific analysis. These goals can only be achieved by 3D replicas at reasonable quality and resolution, to come as close as possible to the original. This brings about several challenges to overcome. The challenge of digitizing huge numbers of artefacts is addressed by CultLab3D, the first fully automatic 3D digitization system. Another challenge is the size of objects, as each digitization system is designed for a certain optimum measurement range, leaving which results in loss of quality. Due to optical and mechanical constraints, most systems are not able to faithfully reconstruct objects under a certain size limit in their full geometric detail. Historic coins are one good example, where the deterioration of the surface structure in most cases has progressed to a degree that it not even is perceptible through the fingernail. This challenge is addressed by a modular extension of CultLab3D, the MesoScanner, which is a structured light system that breaks limits in depth resolution through a mechanical lens-shifting extension, allowing physically shifting of fringe patterns on top of the well-known multi-period phase shift method. This is where this work adds two major improvements: First, the signal to noise ratio and thus reconstruction quality has been improved significantly through several algorithmic processing steps. Second, the physical limitation of the measurement range was removed using a 2D actuator steering the object mount, thus allowing for a measurement range at theoretically arbitrary size. This opens up the fully automatic handling of two scenarios: Complete digitization of objects exceeding the measurement range, and unsupervised digitization of large c

关键词： Deterioration

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Visual Analysis of Urban Traffic Data based on High-Resolution and High-Dimensional Environmental Sensor Data 6

Visual Analysis of Urban Traffic Data based on High-Resoluti...

引用

6th Workshop on Visualisation in Environmental Sciences, EnvirVis 2018 at EuroVis 2018

作者： Häußler, Johannes Stein, Manuel Seebacher, Daniel Janetzko, Halldor Schreck, Tobias Keim, Daniel A. University of Konstanz Department of Computer and Information Science Germany University of Zurich Department of Geography Switzerland Graz University of Technology Institute for Computer Graphics and Knowledge Visualization Austria

ISBN: (纸本)9783038680635

Urbanization is an increasing global trend resulting in a strong increase in public and individual transportation needs. Accordingly, a major challenge for traffic and urban planners is the design of sustainable mobility concepts to maintain and increase the long-term health of humans by reducing environmental pollution. Recent developments in sensor technology allow the precise tracking of vehicle sensor information, allowing a closer and more in-depth analysis of traffic data. We propose a visual analytics system for the exploration of environmental factors in these high-resolution and high-dimensional mobility sensor data. Additionally, we introduce an interactive visual logging approach to enable experts to cope with complex interactive analysis processes and the problem of the reproducibility of results. The usefulness of our approach is demonstrated via two expert studies with two domain experts from the field of environment-related projects and urban traffic planning. © 2018 The Author(s) Eurographics Proceedings © 2018 The Eurographics Association.

关键词： computer graphics

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Visual exploration of hierarchical data using degree-of-interest controlled by eye-tracking 9

Visual exploration of hierarchical data using degree-of-inte...

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9th Forum Media Technology, FMT 2016 and 2nd All Around Audio Symposium 2016

作者： Silva, Nelson Shao, Lin Schreck, T. Eggeling, Eva Fellner, Dieter W. Institute for Computer Graphics and Knowledge Visualization Graz University of Technology Austria Fraunhofer Austria Research GmbH Austria Interactive Graphics Systems Group Technische Universitaet Darmstadt Fraunhofer IGD Germany

Effective visual exploration of large data sets is an important problem. A standard technique for mapping large data sets is to use hierarchical data representations (trees, or dendrograms) that users may navigate. If the data sets get large, so do the hierarchies, and e?ective methods for the navigation are required. Traditionally, users navigate visual representations using desktop interaction modalities, including mouse interaction. Motivated by recent availability of lowcost eye-tracker systems, we investigate application possibilities to use eye-tracking for controlling the visual-interactive data exploration process. We implemented a proof-ofconcept system for visual exploration of hierarchic data, exemplified by scatter plot diagrams which are to be explored for grouping and similarity relationships. The exploration includes usage of degree-of-interest based distortion controlled by user attention read from eye-movement behavior. We present the basic elements of our system, and give an illustrative use case discussion, outlining the application possibilities. We also identify interesting future developments based on the given data views and captured eye-tracking information. Copyright © 2016 by the paper's authors.

关键词： Eye tracking

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Automated classification of crests on pottery sherds using pattern recognition on 2D images

Automated classification of crests on pottery sherds using p...

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20th Eurographics Workshop on graphics and Cultural Heritage, GCH 2022

作者： Ritz, M. Santos, P. Fellner, D.W. Fraunhofer IGD Germany TU-Darmstadt Germany Graz University of Technology Institute of Computer Graphics and Knowledge Visualization Austria

ISBN: (纸本)9783038681786

Manual classification of artefacts is a labor intensive process. Based on 2D images and 3D scans of - for example - ceramic shards, we developed a pattern recognition algorithm which automatically extracts relief features for each newly recorded object and tries to automate the classification process. Based on characteristics found, previously unknown objects are automatically corelated to already classified objects of a collection exhibiting the greatest similarity. As a result, classes of artefacts form iteratively, which ultimately also corresponds to the overall goal which is the automated classification of entire collections. The greatest challenge in developing our software approach was the heterogeneity of reliefs, and in particular the fact that current machine learning approaches were out of question due to the very limited number of objects per class. This led to the implementation of an analytical approach that is capable of performing a classification based on very few artefacts. © ISVR,2023 *** rights reserved

关键词： Iterative methods

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GraMMaCAD: INTERACTIVELY DEFINING SPATIALLY VARYING FGMS ON BREP CAD MODELS

GraMMaCAD: INTERACTIVELY DEFINING SPATIALLY VARYING FGMS ON ...

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ASME 2022 International Design Engineering Technical Conferences and computers and Information in Engineering Conference, IDETC-CIE 2022

作者： Luu, Thu Huong Altenhofen, Christian Stork, André Fellner, Dieter TU Darmstadt Interactive Graphics Systems Group Darmstadt64283 Germany Fraunhofer IGD Darmstadt64283 Germany Graz University of Technology Institute of Computer Graphics and Knowledge Visualization Graz8010 Austria

ISBN: (纸本)9780791886212

Additive manufacturing (AM) has enabled control over heterogeneous materials and structures in ways that were not previously possible, including functionally graded materials (FGM). However, typical computer aided design (CAD) systems – mainly based on boundary representations (B-Rep) – are not built for modeling and representing spatially varying material information, which are the key features for designing FGM parts. While volumetric representations (V-Rep) such as tetrahedral or hexahedral meshes, trivariate splines or subdivision solids can hold the necessary FGM information, they are by default not compatible with existing CAD models. Thus, the capabilities of AM motivate enhancing CAD systems to support volumetric material allocation and distribution. We present an interactive, intuitive and efficient interaction concept based on grading features and transition functions for augmenting CAD models with smooth volumetric material gradients for multi-material fabrication using our system called GraMMaCAD (Graded Multi-Material CAD). This concept has the advantage of being extremely versatile, since the material property functions are left to the arbitrariness of the user, who is free to modify their definition as needed. By providing interactive preview modes, the system allows for efficient exploration of the volumetric gradation of the designed FGM part. We fabricated two functional examples that demonstrate the usability of the system and show the ability to quickly augment models with functionally graded material transitions. Copyright © 2022 by ASME.

关键词： Functionally graded materials

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Context-based Surface Pattern Completion of Ancient Pottery

Context-based Surface Pattern Completion of Ancient Pottery

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20th Eurographics Workshop on graphics and Cultural Heritage, GCH 2022

作者： Lengauer, Stefan Preiner, Reinhold Sipiran, Ivan Karl, Stephan Tinkl, Elisabeth Bustos, Benjamin Schreck, Tobias Graz University of Technology Institute of Computer Graphics and Knowledge Visualization Austria University of Chile Department of Computer Science Chile University of Graz Institute of Classics Austria

ISBN: (纸本)9783038681786

Among various ancient cultures it was common practice to adorn pottery artifacts with lavish surface decoration. While the applied painting styles, color schemes and displayed mythological content may vary greatly, the presence of simple patterns which appear in a repetitive manner can be observed across civilizations and periods. Such pattern sequences generally are arranged in a structured manner in ornament bands or columns that extend over the entire surface of the object. Due to the poor conservation state of many cultural heritage objects, parts of the surface are oftentimes badly damaged or missing altogether. Yet, if the majority of a pattern sequence is preserved, this information can be leveraged to approximate its missing parts. We present an approach that allows the fully automatic determination of the generation rule inherent to a repetitive surface pattern. Based on this generation rule and the preserved patterns from the same pattern class we propose a workflow for reconstruct missing or damaged parts of the surface painting. We evaluate our approach by applying it to a selection of pottery from ancient Peruvian and Greek cultures, showing that our automatic approach is able to handle a variety of problem cases. © ISVR,2023 *** rights reserved

关键词： computer vision

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2D/3D non-rigid registration of volumetric CT lung data using thin-plate spline

2D/3D non-rigid registration of volumetric CT lung data usin...

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7th International Workshop on Enterprise Networking and Computing in Healthcare Industry (HEALTHCOM 2005)

作者： Kim, J Park, J Digital Ocean and Virtual Environment Center Korea Ocean Research and Development Institute South Korea Computer Graphics and Visualization Lab. Information and Communications University South Korea

ISBN: (纸本)0780389409

In the medical image analysis for the human organs, non-rigid registration is necessary to properly register the local deformation. Especially for the dynamic organs like a heart and lungs, it is essential to process the registration method in three-dimensional space to track their through-plane motion. In this paper, we suggest the 2D/3D non-rigid registration method based on the. corresponding anatomical landmarks using thin-plate spline (TPS). By extending two-dimensional TPS, we developed 3D TPS and computed its bending energy function to register the local deformations of the volumetric time-varying lung CT data. Our experimental results show that our method is suitable for handling volumetric deformation with a small number of anatomical landmarks.

关键词： non-rigid registration deformable volumetric data medical image thin-plate spline and anatomical landmark

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The experience of developing real-time rendering systems for the simulation and training 23

The experience of developing real-time rendering systems for...

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23rd International Conference on computer graphics and Vision, GraphiCon 2013

作者： Dolgovesov, Boris S. Morozov, Boris B. Synthesizing Visualization Systems Laboratory Institute of Automation and Electrometry SB RAS Russia Software Systems for Computer Graphics Laboratory Institute of Automation and Electrometry SB RAS Russia

ISBN: (纸本)9785804414024

This paper is about implementation of the presentations system based on integrated virtual reality technology. This system provides the combining of a virtual environment and a lecturer who can interact with object's models of a virtual environment real-time. Furthermore the system can combine different multimedia data (3D objects' models, video, Microsoft PowerPoint presentations, histograms, tomography data, etc.). This option expands the potential of interactive presentation process. © 23rd International Conference on computer graphics and Vision, GraphiCon 2013 - Conference Proceedings. All rights reserved.

关键词： Virtual reality

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A soft union based method for virtual restoration and 3D printing of cultural heritage objects

A soft union based method for virtual restoration and 3D pri...

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2016 Eurographics Workshop on graphics and Cultural Heritage, GCH 2016

作者： Gregor, R. Mavridis, P. Wiltsche, A. Schreck, T. Graz University of Technology Institute of Computer Graphics and Knowledge Visualization Austria Graz University of Technology Institut für Architektur und Medien Austria

ISBN: (纸本)9783038680116

Recent improvements in 3D acquisition and shape processing methods lead to increased digitization of 3D Cultural Heritage (CH) objects. Beyond the mere digital archival of CH artifacts, there is an emerging research area dedicated to digital restoration of 3D Cultural Heritage artifacts. In particular several methods have been published recently that, from a digitized set of fragments, enable their reassembly or even the synthesis of missing or eroded parts. Usually the result of such methods is a set of aligned but disconnected parts. However, it is often desirable to produce a single, watertight mesh that can be easily 3D printed. We propose a method based on a volumetric soft union operation that can be used to combine such sets of aligned fragments to a single manifold mesh while producing smooth and plausible geometry at the seams. We assess its visual quality and efficiency in comparison to an adaption of the well-known Poisson Reconstruction method. Finally, we provide practical insights on printing the results produced by our method on digitized fragments of real CH objects. © 2016 The Author(s) Eurographics Proceedings © 2016 The Eurographics Association.

关键词： 3D printers

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