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Texture Advection
In scientific visualization, texture advection is a family of methods to densely visualize vector fields or flows (like the wind movement of a tornado). Scientists can use the created images and animations to better understand these flows and reason about them. In comparison to techniques that visualise streamlines, streaklines, or timelines, methods of this family don't need any seed points and can produce a whole image at every step. The methods have in common that they bend a whole image (or texture) according to the flow to create a new image that is warped by the flow. If that is done in small enough time steps and often enough, the images can be combined to create an animation visualising the flow. Methods * Image-based flow visualization * Lagrangian–Eulerian advection * Line integral convolution In scientific visualization, line integral convolution (LIC) is a method to visualize a vector field (such as fluid motion) at high spatial resolutions. The LIC technique ...
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Scientific Visualization
Scientific visualization ( also spelled scientific visualisation) is an interdisciplinary branch of science concerned with the visualization of scientific phenomena. Michael Friendly (2008)"Milestones in the history of thematic cartography, statistical graphics, and data visualization" It is also considered a subset of computer graphics, a branch of computer science. The purpose of scientific visualization is to graphically illustrate scientific data to enable scientists to understand, illustrate, and glean insight from their data. Research into how people read and misread various types of visualizations is helping to determine what types and features of visualizations are most understandable and effective in conveying information. History One of the earliest examples of three-dimensional scientific visualisation was Maxwell's thermodynamic surface, sculpted in clay in 1874 by James Clerk Maxwell. This prefigured modern scientific visualization techniques that use computer gr ...
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Vector Field
In vector calculus and physics, a vector field is an assignment of a vector to each point in a space, most commonly Euclidean space \mathbb^n. A vector field on a plane can be visualized as a collection of arrows with given magnitudes and directions, each attached to a point on the plane. Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout three dimensional space, such as the wind, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from one point to another point. The elements of differential and integral calculus extend naturally to vector fields. When a vector field represents force, the line integral of a vector field represents the work done by a force moving along a path, and under this interpretation conservation of energy is exhibited as a special case of the fundamental theorem of calculus. Vector fields can usefully be thought of as representing the velocit ...
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Streamlines, Streaklines, And Pathlines
Streamlines, streaklines and pathlines are field lines in a fluid flow. They differ only when the flow changes with time, that is, when the flow is not steady flow, steady. Considering a velocity vector field in three-dimensional space in the framework of continuum mechanics: * Streamlines are a family of curves whose tangent vectors constitute the velocity vector field of the flow. These show the direction in which a massless fluid element will travel at any point in time. * Streaklines are the Locus (mathematics), loci of points of all the fluid particles that have passed continuously through a particular spatial point in the past. Dye steadily injected into the fluid at a fixed point (as in dye tracing) extends along a streakline. * Pathlines are the trajectory, trajectories that individual fluid particles follow. These can be thought of as "recording" the path of a fluid element in the flow over a certain period. The direction the path takes will be determined by the stre ...
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Streakline
Streamlines, streaklines and pathlines are field lines in a fluid flow. They differ only when the flow changes with time, that is, when the flow is not steady. Considering a velocity vector field in three-dimensional space in the framework of continuum mechanics: * Streamlines are a family of curves whose tangent vectors constitute the velocity vector field of the flow. These show the direction in which a massless fluid element will travel at any point in time. * Streaklines are the loci of points of all the fluid particles that have passed continuously through a particular spatial point in the past. Dye steadily injected into the fluid at a fixed point (as in dye tracing) extends along a streakline. * Pathlines are the trajectories that individual fluid particles follow. These can be thought of as "recording" the path of a fluid element in the flow over a certain period. The direction the path takes will be determined by the streamlines of the fluid at each moment in time ...
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Timeline
A timeline is a list of events displayed in chronological order. It is typically a graphic design showing a long bar labelled with dates paralleling it, and usually contemporaneous events. Timelines can use any suitable scale representing time, suiting the subject and data; many use a linear scale, in which a unit of distance is equal to a set amount of time. This timescale is dependent on the events in the timeline. A timeline of evolution can be over millions of years, whereas a timeline for the day of the September 11 attacks can take place over minutes, and that of an explosion over milliseconds. While many timelines use a linear timescale—especially where very large or small timespans are relevant -- logarithmic timelines entail a logarithmic scale of time; some "hurry up and wait" chronologies are depicted with zoom lens metaphors. More usually, "timeline" refers merely to a data set which could be displayed as described above. For example, this meaning is used ...
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Image-based Flow Visualization
In scientific visualization, image-based flow visualization (or visualisation) is a computer modelling technique developed by Jarke van Wijk to visualize two dimensional flows of liquids such as water and air, like the wind movement of a tornado. Compared with integration techniques it has the advantage of producing a whole image at every step, as the technique relies upon graphical computing methods for frame-by-frame capture of the model of advective transport of a decaying dye. It is a method from the texture advection family. Principle The core idea is to create a noise texture on a regular grid and then bend this grid according to the flow (the vector field). The bent grid is then sampled at the original grid locations. Thus, the output is a version of the noise, that is displaced according to the flow. The advantage of this approach is that it can be accelerated on modern graphics hardware, thus allowing for real-time Real-time, realtime, or real time may refer to: Co ...
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Lagrangian–Eulerian Advection
In scientific visualization, Lagrangian–Eulerian advection is a technique mainly used for the visualization of unsteady flows. The computer graphics generated by the technique can help scientists visualize changes in velocity fields. This technique uses a hybrid Lagrangian and Eulerian specification of the flow field. It is a special case of a line integral convolution. The method consists of using nearest-neighbour interpolation followed by an error correction mechanism. The Lagrangian specification is used during the integration to update the particle positions. The property of interest is advected in the Eulerian frame of reference. It was originally designed by Bruno Jobard and others for steady flows but was extended to unsteady flows. The main idea is to create a white noise texture of the desired resolution, which is used as a base, on top of which the vector field can be applied. That means for every particle looking backward in the vector field to find out the new va ...
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Line Integral Convolution
In scientific visualization, line integral convolution (LIC) is a method to visualize a vector field (such as fluid motion) at high spatial resolutions. The LIC technique was first proposed by Brian Cabral and Leith Casey Leedom in 1993. In LIC, discrete numerical Line integral, line integration is performed along the field lines (curves) of the vector field on a Regular grid, uniform grid. The integral operation is a convolution of a filter Kernel (image processing), kernel and an input texture, often white noise. In signal processing, this process is known as a Convolution#Discrete convolution, discrete convolution. Overview Traditional visualizations of vector fields use small arrows or lines to represent vector direction and magnitude. This method has a low spatial resolution, which limits the density of presentable data and risks obscuring characteristic features in the data. More sophisticated methods, such as Streamlines, streaklines, and pathlines, streamlines and particl ...
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Infographics
Infographics (a clipped compound of "information" and "graphics") are graphic visual representations of information, data, or knowledge intended to present information quickly and clearly.Doug Newsom and Jim Haynes (2004). ''Public Relations Writing: Form and Style''. p.236. They can improve cognition by using graphics to enhance the human visual system's ability to see patterns and trends.Card, S. (2009). Information visualization. In A. Sears & J. A. Jacko (Eds.), Human-Computer Interaction: Design Issues, Solutions, and Applications (pp. 510–543). Boca Raton, FL: CRC Press. Similar pursuits are information visualization, data visualization, statistical graphics, information design, or information architecture. Infographics have evolved in recent years to be for mass communication, and thus are designed with fewer assumptions about the readers' knowledge base than other types of visualizations. Isotype (picture language), Isotypes are an early example of infographics conveyi ...
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