Results

• 2D randomized data:

  (a)	(b)	(c)	(d)

  Figure 1: White dots are degenerate points indicating places where all seven constraint functions are zero. Each colored curve corresponds to a constraint function being equal to zero. Places where multiple curves intersect are where multiple constraint functions are satisfied simultaneously. The background is pseudo-colored by the discriminant functions. The data is a 2D slice of a randomly generated 3D tensor field.
  
  

• Higher Order Degeneracy:

  (a) Linear Interpolation	(b) Tricubic Spline Interpolation

  Figure 2: Closeup of the bifurcating feature lines below the point loads in the double point load data set. Feature lines are colored by the eigen difference while the volume is colored by the discriminant using cool colors for low discriminant values (closer to feature lines) and warm transparent colors for distant values.
  
  

• 3D randomized data:

  Figure 3: Randomly generated 3D tensors. Warmer line colors are closer to type A degenerate points where major and medium hyperstreamlines intersect, while cooler line colors are closer to type B degenerate points where medium and minor hyperstreamlines intersect. The rest of the volume is pseudo-colored by the discriminant using cool colors for low discriminant values (closer to feature lines) and warm transparent colors for distant values.
  
  

• Double point load stress tensors:

  (a) Oblique view	(b) Front view	(c) Side view	(d) Top view
  (e) Unsymmetric loads

  Figure 4: Double point load data. Yellow arrows indicate point load, while the 2 magenta spheres show the location of the triple degenerate points. Feature lines are colored by the eigen difference while the volume is colored by the discriminant.
  
  

• Flow past a cylinder with a hemisphere cap:

  Figure 5: Degenerate lines in deformation tensors of flow past a cylinder with a hemispherical cap. Feature lines are colored by the eigen difference.