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PhD thesis projects

Arrangement of curves

People involved: Younis Hijazi and Thomas Breuel

• Survey on planar curves arrangement
  

• The CAPS algorithm (presented at Curves and Surfaces International conference, Avignon, 2006)
  
  

Interactive & real-time ray tracing

People involved: Aaron Knoll, Younis Hijazi, Charles Hansen, Ingo Wald, Andrew Kensler, Mathias Schott and Hans Hagen

• Interactive Ray Tracing of Arbitrary Implicits with SIMD Interval Arithmetic
  

  (Technical report: Interactive Ray Tracing of Arbitrary Implicit Functions)

  Video demonstrating the technique

• Fast Ray Tracing of Arbitrary Implicit Surfaces with Interval and Affine Arithmetic
  

(Technical report: Fast and Robust Ray Tracing of General Implicits on the GPU)

Video

Interval arithmetic and some of its extensions

• Survey paper: Why IA is so useful

Tensor visualization

People involved: Rouven Mohr, Tom Bobach, Younis Hijazi, Gerd Reis, Paul Steinmann and Hans Hagen

• Paper: Comparative Tensor Visualisation within the Framework of Consistent Time-Stepping Schemes

• Current research (restricted access)

Scattered vector data interpolation

• Current research (restricted access)