Tensor glyph

From HandWiki
Short description: Visual aid used in mathematics


In scientific visualization a tensor glyph is an object that can visualize all or most of the nine degrees of freedom, such as acceleration, twist, or shear – of a [math]\displaystyle{ 3 \times 3 }[/math] matrix. It is used for tensor field visualization, where a data-matrix is available at every point in the grid. "Glyphs, or icons, depict multiple data values by mapping them onto the shape, size, orientation, and surface appearance of a base geometric primitive."[1] Tensor glyphs are a particular case of multivariate data glyphs.

There are certain types of glyphs that are commonly used:

According to Thomas Schultz and Gordon Kindlmann, specific types of tensor fields "play a central role in scientific and biomedical studies as well as in image analysis and feature-extraction methods."[2]

References

  1. Kindlmann, Gordon (2004). "Superquadric Tensor Glyphs". Joint EUROGRAPHICS – IEEE TCVG Symposium on Visualization (2004). http://www.cs.utah.edu/~gk/papers/vissym04/vissym04kindlmann.pdf. Retrieved September 1, 2012. 
  2. Schultz, Thomas and Gordon L. Kindlmann (November–December 2010). "Superquadric Glyphs for Symmetric Second-Order Tensors". IEEE Transactions on Visualization and Computer Graphics 16 (6): 1595–604. doi:10.1109/TVCG.2010.199. PMID 20975202. http://people.cs.uchicago.edu/~glk/sqd/schultzTVCG10SuperquadricTensorGlyphs.pdf. 

Further reading