Surface Visualization
Surface Visualization - Related Videos
02:46
Swarming Assay for Visualizing Bacterial Surface Motility
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2025
Source: Morales-Soto, N. et. al., Preparation, Imaging, and Quantification of Bacterial Surface Motility Assays. J. Vis. Exp. (2015)This video demonstrates a swarming assay using bacteria that express green fluorescent protein to observe surface motility on soft agar. Time-lapse imaging captures coordinated expansion and tendril formation, highlighting bacterial surface motility.
08:34
Visualization of High Speed Liquid Jet Impaction on a Moving Surface
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Cited by 4 •
2015
Two experimental devices for examining liquid jet impingement on a high-speed moving surface are described: an air cannon device and a spinning disk device. The apparatuses are used to determine optimal approaches to the application of liquid friction modifier (LFM) onto rail tracks for top-of-rail friction control.
08:12
Surface Dye Flow Visualization: A Qualitative Method to Observe Streakline Patterns in Supersonic Flow
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2023
Flow visualization around or on a body is an important tool in aerodynamics research. It provides a method to qualitatively and quantitatively study flow structure, and it also helps researchers theorize and verify fluid flow behavior. Flow visualization can be divided into two categories: off-the-surface visualization and surface flow visualization. Off-the-surface flow visualization techniques involve determining the flow characteristics around the body of interest. They include but are not...
12:26
Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
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Cited by 4 •
2013
In this video we first describe fabrication and operation procedures of a surface acoustic wave (SAW) acoustic counterflow device. We then demonstrate an experimental setup that allows for both qualitative flow visualization and quantitative analysis of complex flows within the SAW pumping device.
08:51
Visualization of Surface-tethered Large DNA Molecules with a Fluorescent Protein DNA Binding Peptide
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Cited by 7 •
2016
We present an approach for visualizing fluorescent protein DNA binding peptide (FP-DBP)-stained large DNA molecules tethered on the polyethylene glycol (PEG) and avidin-coated glass surface and stretched with microfluidic shear flows.
FAQs
The domain determines which portion of a mathematical surface appears in the graph. Restricting or expanding the range of x- and y-values changes the visible region, so important features may become clearer or remain hidden. Examining coordinate triples across the selected domain connects the displayed geometry to the specific part of the function being analyzed.
Color can distinguish changes in function value, while shading emphasizes the apparent form and spatial orientation of the surface. Contour lines display level sets, showing locations where the function has the same value. Using these visual cues together helps relate height, shape, and value changes without relying on a single graphical representation.
Changes in height and shape can make candidate extrema visually apparent, while bending of the surface provides insight into curvature. Level sets add another way to examine how values are arranged across the domain. When surfaces or geometric objects meet, their graphical intersection helps connect algebraic relationships with the resulting spatial structure.
Viewing transformations change how the surface is observed, allowing relationships that are difficult to see from one angle to become more apparent. Rotating or otherwise adjusting the view can clarify height changes, slopes, curvature, or intersections. The transformation supports interpretation of the same mathematical object rather than replacing its underlying equation or data.
Begin with the function, equation, or data and identify the relevant x- and y-domain. Generate the corresponding coordinate triples over that region, then display them as a three-dimensional surface. Add color, shading, contour lines, or viewing adjustments according to the feature being studied. The final display should connect visible geometry with the mathematical quantities of interest.
In multivariable calculus, it supports examination of extrema, level sets, curvature, and intersections. In geometry, it provides a spatial view of relationships that may be difficult to interpret symbolically. Mathematical modeling also benefits because data or equations can be displayed as shapes, helping users compare algebraic descriptions with geometric behavior across a domain.