Difference between revisions of "Misc. Prefuse Information"
(New page: These notes are taken from the javadocs provided with Prefuse, and most of them are authored by Jeffrey Heer. The full index for the Prefuse package can be found [http://prefuse.org/doc/a...) |
(→Main Paper) |
||
| (4 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | These notes are taken from the javadocs provided with Prefuse, and most of them are authored by Jeffrey Heer. The full index for the Prefuse package can be found [http://prefuse.org/doc/api/index-files/index-1.html here]. | + | These notes are taken from the javadocs provided with Prefuse or from the main 2005 paper, and most of them are authored by Jeffrey Heer. The full index for the Prefuse package can be found [http://prefuse.org/doc/api/index-files/index-1.html here]. |
| − | = | + | =Main Paper= |
| − | Force function | + | [http://jheer.org/publications/2005-prefuse-CHI.pdf prefuse: a toolkit for interactive information visualization], by Jeffrey Heer, Stuart K. Card, and James A. Landay. |
| + | |||
| + | =Position Paper= | ||
| + | |||
| + | [http://vw.indiana.edu/ivsi2004/jherr/index.html Position Paper] | ||
| + | |||
| + | =The Force Field and Related Objects= | ||
| + | |||
| + | ==Force Simulation== | ||
| + | |||
| + | prefuse includes an extensible and | ||
| + | configurable library for force-based physics simulations. This | ||
| + | consists of a set of force functions, including n-body forces | ||
| + | (e.g., gravity), spring forces, and drag forces. To support real- | ||
| + | time interaction, n-body force calculations use the Barnes- | ||
| + | Hut algorithm [2] to compute the otherwise quadratic | ||
| + | calculation in log-linear time. The force simulation supports | ||
| + | various numerical integration schemes, with trade-offs in | ||
| + | efficiency and accuracy, to update velocity and position | ||
| + | values. The provided modules abstract the mathematical | ||
| + | details of these techniques (e.g., 4 th Order Runge-Kutta) from toolkit users. Users can also write custom force functions and | ||
| + | add them to the simulator | ||
| + | |||
| + | ==Force== | ||
| + | The Force function computes an n-body force such as gravity, anti-gravity, or the results of electric charges. This function implements the the Barnes-Hut algorithm for efficient n-body force simulations, using a quad-tree with aggregated mass values to compute the n-body force in O(N log N) time, where N is the number of ForceItems. | ||
The algorithm used is that of J. Barnes and P. Hut, in their research paper A Hierarchical O(n log n) force calculation algorithm, Nature, v.324, December 1986. For more details on the algorithm, see one of the following links -- | The algorithm used is that of J. Barnes and P. Hut, in their research paper A Hierarchical O(n log n) force calculation algorithm, Nature, v.324, December 1986. For more details on the algorithm, see one of the following links -- | ||
| Line 10: | Line 34: | ||
* [http://www.physics.gmu.edu/~large/lr_forces/desc/bh/bhdesc.html Description of the Barnes-Hut algorithm] | * [http://www.physics.gmu.edu/~large/lr_forces/desc/bh/bhdesc.html Description of the Barnes-Hut algorithm] | ||
* [http://www.ifa.hawaii.edu/~barnes/treecode/treeguide.html Joshua Barnes' recent implementation] | * [http://www.ifa.hawaii.edu/~barnes/treecode/treeguide.html Joshua Barnes' recent implementation] | ||
| + | |||
| + | ==ForceFieldLayout== | ||
| + | The '''ForceFieldLayout''' is a Layout that positions graph elements based on a physics simulation of interacting forces; by default, nodes repel each other, edges act as springs, and drag forces (similar to air resistance) are applied. This algorithm can be run for multiple iterations for a run-once layout computation or repeatedly run in an animated fashion for a dynamic and interactive layout. | ||
| + | |||
| + | The running time of this layout algorithm is the greater of O(N log N) and O(E), where N is the number of nodes and E the number of edges. The addition of custom force calculation modules may, however, increase this value. | ||
| + | |||
| + | The ForceSimulator used to drive this layout can be set explicitly, allowing any number of custom force directed layouts to be created through the user's selection of included Force components. Each node in the layout is mapped to a ForceItem instance and each edge to a Spring instance for storing the state of the simulation. See the prefuse.util.force package for more. | ||
| + | |||
| + | ==N-Body Force== | ||
| + | |||
| + | Parameters: | ||
| + | * gravConstant - the gravitational constant to use. Nodes will attract each other if this value is positive, and will repel each other if it is negative. | ||
| + | * minDistance - the distance within which two particles will interact. If -1, the value is treated as infinite. | ||
| + | * theta - the Barnes-Hut parameter theta, which controls when an aggregated mass is used rather than drilling down to individual item mass values. | ||
Latest revision as of 14:15, 16 April 2009
These notes are taken from the javadocs provided with Prefuse or from the main 2005 paper, and most of them are authored by Jeffrey Heer. The full index for the Prefuse package can be found here.
Contents
Main Paper
prefuse: a toolkit for interactive information visualization, by Jeffrey Heer, Stuart K. Card, and James A. Landay.
Position Paper
The Force Field and Related Objects
Force Simulation
prefuse includes an extensible and configurable library for force-based physics simulations. This consists of a set of force functions, including n-body forces (e.g., gravity), spring forces, and drag forces. To support real- time interaction, n-body force calculations use the Barnes- Hut algorithm [2] to compute the otherwise quadratic calculation in log-linear time. The force simulation supports various numerical integration schemes, with trade-offs in efficiency and accuracy, to update velocity and position values. The provided modules abstract the mathematical details of these techniques (e.g., 4 th Order Runge-Kutta) from toolkit users. Users can also write custom force functions and add them to the simulator
Force
The Force function computes an n-body force such as gravity, anti-gravity, or the results of electric charges. This function implements the the Barnes-Hut algorithm for efficient n-body force simulations, using a quad-tree with aggregated mass values to compute the n-body force in O(N log N) time, where N is the number of ForceItems.
The algorithm used is that of J. Barnes and P. Hut, in their research paper A Hierarchical O(n log n) force calculation algorithm, Nature, v.324, December 1986. For more details on the algorithm, see one of the following links --
- James Demmel's UC Berkeley lecture notes
- Description of the Barnes-Hut algorithm
- Joshua Barnes' recent implementation
ForceFieldLayout
The ForceFieldLayout is a Layout that positions graph elements based on a physics simulation of interacting forces; by default, nodes repel each other, edges act as springs, and drag forces (similar to air resistance) are applied. This algorithm can be run for multiple iterations for a run-once layout computation or repeatedly run in an animated fashion for a dynamic and interactive layout.
The running time of this layout algorithm is the greater of O(N log N) and O(E), where N is the number of nodes and E the number of edges. The addition of custom force calculation modules may, however, increase this value.
The ForceSimulator used to drive this layout can be set explicitly, allowing any number of custom force directed layouts to be created through the user's selection of included Force components. Each node in the layout is mapped to a ForceItem instance and each edge to a Spring instance for storing the state of the simulation. See the prefuse.util.force package for more.
N-Body Force
Parameters:
- gravConstant - the gravitational constant to use. Nodes will attract each other if this value is positive, and will repel each other if it is negative.
- minDistance - the distance within which two particles will interact. If -1, the value is treated as infinite.
- theta - the Barnes-Hut parameter theta, which controls when an aggregated mass is used rather than drilling down to individual item mass values.
