Interactive visualization of three-dimensional magnetic fields

In order to observe the physical values (magnetic flux density and eddy current) in 3D magnetic field analysis, an interactive and highly manipulative visualization system depicting stereo images is intalled in a graphics workstation with high functional graphic processors. The system has the following characteristics:

• 1 An interactive and highly manipulative menu window with many functions: it enables visualization of complex phenomena in a 3D field through observation of various combinations of physical values from various viewpoints.
• 2 Simultaneous display of both magnetic flux density and eddy current by using the appropriate use of two colour display methods for stream lines and distribution maps of density: this function facilitates observation of the mutual relations between two physical values in a 3D field.
• 3 Animations and stereo displays: since they give extremely distinct images, observers can easily understand even highly complex 3D phenomena.

In this paper, the calculation method of density vectors, their display methods, and interactive functions are described. Some examples are also illustrated.     

Interactive three-dimensional visualization of seismic array data

We present a set of tools developed for the analysis of three-component seismic array data. The first tool involves the application of three-dimensional volume visualization techniques for displaying the results of single-component, array, slowness analysis calculations. This technique has proven useful for analysis of both body waves and surface waves recorded by broadband arrays with a wide range of apertures. The second tool presented is a tool for animation and interactive analysis of three-dimensional particle motions observed by an array of three-component instruments. This tool displays a three-dimensional track of particle motions over a specified time window as recorded by three-component array stations. In order to compare the amplitudes, waveforms, polarization and time delays of signals on different array stations the records are aligned by the time of arrival of a plane wave with the azimuth and the apparent slowness determined from two-dimensional semblance analysis. This technique provides an improved understanding of the spatial variability of seismic wave fields that is not possible with conventional, two-dimensional graphics.     

Topological segmentation in three-dimensional vector fields

We present a new method for topological segmentation in steady three-dimensional vector fields. Depending on desired properties, the algorithm replaces the original vector field by a derived segmented data set, which is utilized to produce separating surfaces in the vector field. We define the concept of a segmented data set, develop methods that produce the segmented data by sampling the vector field with streamlines, and describe algorithms that generate the separating surfaces. This method is applied to generate local separatrices in the field, defined by a movable boundary region placed in the field. The resulting partitions can be visualized using standard techniques for a visualization of a vector field at a higher level of abstraction.     

Strategies for the visualization of multiple 2D vector fields

Strategies for effectively visualizing colocated 2D vector fields enable understanding of key physical structures of one vector field within the context of a related vector field. This article describes the range of effects possible by combining several existing flow visualization techniques for analyzing multiple vector fields. Our present efforts focus primarily on the investigation of methods for effectively visualizing multiple fields defined over a 2D domain; the problem of effectively visualizing multiple fields defined over a 3D domain is even more challenging, and an important area for future work.     

Flow charts: visualization of vector fields on arbitrary surfaces

We introduce a novel flow visualization method called Flow Charts, which uses a texture atlas approach for the visualization of flows defined over curved surfaces. In this scheme the surface and its associated flow are segmented into overlapping patches which are then parameterized and packed in the texture domain. This scheme allows accurate particle advection across multiple charts in the texture domain, providing a flexible framework that supports various flow visualization techniques. The use of surface parameterization enables flow visualization techniques requiring the global view of the surface over long time spans, such as Unsteady Flow LIC (UFLIC), particle-based Unsteady Flow Advection-Convolution (UFAC), or dye advection. It also prevents visual artifacts normally associated with view-dependent methods. Represented as textures, Flow Charts can be naturally integrated into GPU flow visualization techniques for interactive performance.     

Interactive comparison of scalar fields based on largest contours with applications to flow visualization

Understanding fluid flow data, especially vortices, is still a challenging task. Sophisticated visualization tools help to gain insight. In this paper, we present a novel approach for the interactive comparison of scalar fields using isosurfaces, and its application to fluid flow datasets. Features in two scalar fields are defined by largest contour segmentation after topological simplification. These features are matched using a volumetric similarity measure based on spatial overlap of individual features. The relationships defined by this similarity measure are ranked and presented in a thumbnail gallery of feature pairs and a graph representation showing all relationships between individual contours. Additionally, linked views of the contour trees are provided to ease navigation. The main render view shows the selected features overlapping each other. Thus, by displaying individual features and their relationships in a structured fashion, we enable exploratory visualization of correlations between similar structures in two scalar fields. We demonstrate the utility of our approach by applying it to a number of complex fluid flow datasets, where the emphasis is put on the comparison of vortex related scalar quantities.     

Constrained motion control using vector potential fields

Discusses the generation of a control signal that would instruct the actuators of a robotics manipulator to drive motion along a safe and well-behaved path to a desired target. The proposed concept of navigation control along with the tools necessary for its construction achieve this goal. The most significant tool is the artificial vector potential field which shows a better ability to steer motion than does a scalar potential field. The synthesis procedure emphasizes flexibility so that the effort needed to modify the control is commensurate with the change in the geometry of the workspace. Theoretical development along with simulation results are provided     

Interactive visualization of dependencies

We present an interactive tool for browsing course requisites as a case study of dependency visualization. This tool uses multiple interactive visualizations to allow the user to explore the dependencies between courses. A usability study revealed that the proposed browser provides significant advantages over traditional methods, in terms of learnability, efficiency and user confidence. The results are discussed within a general framework for interactive visualization of dependencies.     

Vibration control for a nonlinear three-dimensional flexible manipulator trajectory tracking

This paper proposes an innovative approach to the trajectory tracking in three-dimensional space and vibration control problems in the presence of a nonlinear three-dimensional flexible manipulator based on the partial differential equation model. Unlike two-dimensional plane, we select spherical coordinates to describe the position of the end point in three-dimensional space. This novel approach makes it possible to realise the trajectory tracking by controlling the two angles in spherical coordinates, meanwhile, a vibration control scheme is proposed to restrain vibrations. In addition, the existence and uniqueness of solutions are demonstrated. Finally, the performance of the desired trajectory tracking, the proposed vibration control scheme and their convergence properties are demonstrated by numerical simulations.     

Interactive visualization of state transition systems

A new method for the visualization of state transition systems is presented. Visual information is reduced by clustering nodes, forming a tree structure of related clusters. This structure is visualized in three dimensions with concepts from cone trees and emphasis on symmetry. A number of interactive options are provided as well, allowing the user to superimpose detail information on this tree structure. The resulting visualization enables the user to relate features in the visualization of the state transition graph to semantic concepts in the corresponding process and vice versa     

Interactive visualization of large state spaces

Insight into the global structure of a state space is of great help in the analysis of the underlying process. We advocate the use of visualization for this purpose and present a method to visualize the structure of very large state spaces with millions of nodes. The method uses a clustering based on an equivalence relation to obtain a simplified representation, which is used as a backbone for the display of the entire state space. With this visualization we are able to answer questions about the global structure of a state space that cannot easily be answered by conventional methods. We show this by presenting a number of visualizations of real-world protocols .     

Interactive scientific visualization of fluid flow

Examples of scientific visualization techniques used for the interactive exploration of very large data sets from supercomputer simulations of fluid flow are presented. Interactive rendering of images from simulations of grids of 2 million or more computational zones are required to drive high-end graphics workstations to their limits with 2-D data. The author presents one such image and discusses interactive steering of 2-D flow simulations, a phenomenon now possible with grids of half a million computational zones. He uses a simulation of compressible turbulence on a grid of 134 million computational zones to set the scale for discussing interactive 3-D visualization techniques. A concept for a gigapixel-per-second video wall, or gigawall, which could be built with present technology to meet the demands of interactive visualization of the data sets that will be produced by the next generation of supercomputers, is discussed     

An approach to exascale visualization: Interactive viewing of in-situ visualization

In the coming era of exascale supercomputing, in-situ visualization will be a crucial approach for reducing the output data size. A problem of in-situ visualization is that it loses interactivity if a steering method is not adopted. In this paper, we propose a new method for the interactive analysis of in-situ visualization images produced by a batch simulation job. A key idea is to apply numerous (thousands to millions) in-situ visualizations simultaneously. The viewer then analyzes the image database interactively during postprocessing. If each movie can be compressed to 100 MB, one million movies will only require 100 TB, which is smaller than the size of the raw numerical data in exascale supercomputing. We performed a feasibility study using the proposed method. Multiple movie files were produced by a simulation and they were analyzed using a specially designed movie player. The user could change the viewing angle, the visualization method, and the parameters interactively by retrieving an appropriate sequence of images from the movie dataset.     

Interactive simulation of one-dimensional flexible parts

In this paper, we present a system for simulating one dimensional flexible parts such as cables or hose. The modelling of bending and torsion follows the Cosserat model. For this purpose we use a generalized spring-mass system and describe its configuration by a carefully chosen set of coordinates. Gravity and contact forces as well as the forces responsible for length conservation are expressed in Cartesian coordinates. But bending and torsion effects can be dealt with more effectively by using quaternions to represent the orientation of the segments joining two neighbouring mass points. This augmented system allows an easy formulation of all interactions with the best appropriate coordinate type and yields a strongly banded Hessian matrix. An energy minimizing process accounts for a solution exempt from the oscillations that are typical of spring-mass systems. The whole system is numerically stable and can be solved at interactive frame rates. It is integrated in a virtual reality software for use in applications such as cable routing and assembly simulation.     

Interactive volume visualization of general polyhedral grids

This paper presents a novel framework for visualizing volumetric data specified on complex polyhedral grids, without the need to perform any kind of a priori tetrahedralization. These grids are composed of polyhedra that often are non-convex and have an arbitrary number of faces, where the faces can be non-planar with an arbitrary number of vertices. The importance of such grids in state-of-the-art simulation packages is increasing rapidly. We propose a very compact, face-based data structure for representing such meshes for visualization, called two-sided face sequence lists (TSFSL), as well as an algorithm for direct GPU-based ray-casting using this representation. The TSFSL data structure is able to represent the entire mesh topology in a 1D TSFSL data array of face records, which facilitates the use of efficient 1D texture accesses for visualization. In order to scale to large data sizes, we employ a mesh decomposition into bricks that can be handled independently, where each brick is then composed of its own TSFSL array. This bricking enables memory savings and performance improvements for large meshes. We illustrate the feasibility of our approach with real-world application results, by visualizing highly complex polyhedral data from commercial state-of-the-art simulation packages.     

Interactive 3D visualization of optical phenomena

Each year at colleges and universities nationwide, some 10,000 students take a course on optics, typically through a physics department. The method of instruction has changed very little in the past 40 years, and many of the textbook illustrations have remained essentially the same during this time. In particular, the illustrations rely heavily on line drawings and 2D graphs. Certain key concepts in optics possess fundamentally 3D aspects, which instructors typically demonstrate in a classroom laboratory. Currently, several computer-assisted instructional modules support teaching optics by visualizing optical phenomena. We created interactive 3D graphical modules for visualizing optical phenomena by applying 3D visualization techniques to instructional courseware     

Interactive visualization and analysis of transitional flow

A stand-alone visualization application has been developed by a multi-disciplinary, collaborative team with the sole purpose of creating an interactive exploration environment allowing turbulent flow researchers to experiment and validate hypotheses using visualization. This system has specific optimizations made in data management, caching computations, and visualization allowing for the interactive exploration of datasets on the order of 1TB in size. Using this application, the user (co-author Calo) is able to interactively visualize and analyze all regions of a transitional flow volume, including the laminar, transitional and fully turbulent regions. The underlying goal of the visualizations produced from these transitional flow simulations is to localize turbulent spots in the laminar region of the boundary layer, determine under which conditions they form, and follow their evolution. The initiation of turbulent spots, which ultimately lead to full turbulence, was located via a proposed feature detection condition and verified by experimental results. The conditions under which these turbulent spots form and coalesce are validated and presented.     

Interactive visualization of 3D medical data

Techniques for rendering 3-D medical data are described. They consist of (1) surface-based techniques, which apply a surface detector to the sample array, then fit geometric primitives to the detected surfaces, and finally render the resulting geometric representation; (2) binary voxel techniques, which begin by thresholding the volume data to produce a three-dimensional binary array; the cuberille algorithm then renders this array by treating 1's as opaque cubes having six polygonal faces; and (3) volume-rendering techniques, a variant of the binary voxel techniques in which a color and a partial opacity are assigned to each voxel; images are formed from the resulting colored, semitransparent volume by blending together voxels projecting to the same pixel on the picture plane. Specialized display devices (stereo viewers, varifocal mirrors, cine sequences, real-time image-generation systems, and head-mounted displays) are described. Topics for future research are identified     

Interactive analysis and visualization of geoscience data with Ocean Data View

Ocean Data View (ODV) is a freeware package for the interactive exploration and graphical display of multi-parameter profile or sequence data. Although originally developed for oceanographic observations only, the underlying concept is more general, and data or model output from other areas of geosciences, like for instance geology, geophysics, geography and atmospheric research can be maintained and explored with ODV as well. The data format of ODV is designed for dense storage and direct data access, and allows the construction of very large datasets, even on affordable and portable hardware. ODV supports display of original data by colored dots or actual data values at the measurement locations. In addition, two fast and reliable variable-resolution gridding algorithms allow color shading and contouring of gridded fields along sections and on general 3D surfaces. A large number of derived quantities can be selected and calculated online. These variables are displayed and analyzed in the same way as the basic variables stored in disk files. ODV runs on PCs under Windows and on UNIX workstations under SUN Solaris. The software and extensive sets of coastline, topography, river-, lake- and border outlines as well as various gazetteers of topographic features are available at no cost over the Internet. In addition, the electronic atlas eWOCE that consists of oceanographic data from the World Ocean Circulation Experiment (WOCE) is also available free of charge over the Internet. A gallery of prepared plots of property distributions along WOCE sections provides a quick overview over hydrographic, nutrient, oxygen and transient tracer fields in the ocean and, apart from the scientific use for oceanographic research, can serve as tutorial material for introductory or advanced courses on oceanography.     

Interactive visualization of hyperspectral images of historical documents

This paper presents an interactive visualization tool to study and analyze hyperspectral images (HSI) of historical documents. This work is part of a collaborative effort with the Nationaal Archief of the Netherlands (NAN) and Art Innovation, a manufacturer of hyperspectral imaging hardware designed for old and fragile documents. The NAN is actively capturing HSI of historical documents for use in a variety of tasks related to the analysis and management of archival collections, from ink and paper analysis to monitoring the effects of environmental aging. To assist their work, we have developed a comprehensive visualization tool that offers an assortment of visualization and analysis methods, including interactive spectral selection, spectral similarity analysis, time-varying data analysis and visualization, and selective spectral band fusion. This paper describes our visualization software and how it is used to facilitate the tasks needed by our collaborators. Evaluation feedback from our collaborators on how this tool benefits their work is included.