Interval analysis: interval arithmetic and affine arithmetic
Scalar, vector and tensor fields
Differential geometry and topology
Computer Science:
Visualization, graphics, feature detection
Ray casting/tracing, GPU programming
(Topology-driven) modeling
Virtual reality
Publications
Younis Hijazi, Aaron Knoll, Mathias Schott, Andrew Kensler, Charles Hansen and Hans Hagen; CSG Operations of Arbitrary Primitives with Interval Arithmetic and Real-Time Ray Casting; Special Issue of Dagstuhl Proceedings (to appear), 2010.
Aaron Knoll, Younis Hijazi, Rolf Westerteiger, Mathias Schott, Charles Hansen and Hans Hagen; Volume Ray Casting with Peak Finding and Differential Sampling; TVCG, Proceedings of IEEE Visualization 2009 (to appear), 2009.
Aaron Knoll, Younis Hijazi, Andrew Kensler, Mathias Schott, Charles Hansen and Hans Hagen; Fast Ray Tracing of Arbitrary Implicit Surfaces with Interval and Affine Arithmetic; Comput. Graph. Forum 28(1), pp. 26-40, 2009.
Younis Hijazi; Feature Based Visualization; Ph.D. thesis, Technische Universität Kaiserslautern, Feb. 2008.
Younis Hijazi, Hans Hagen, Charles Hansen and Kenneth I. Joy; Why Interval Arithmetic is so useful; In H. Hagen, M. Hering-Bertram, Ch. Garth (Eds.) : Visualization of Large and Unstructured Data Sets, pp. 148-163, 2007.
Rouven Mohr, Tom Bobach, Younis Hijazi, Gerd Reis, Paul Steinmann and Hans Hagen; Comparative Tensor Visualization within the Framework of Consistent Time-Stepping Schemes; In H. Hagen, M. Hering-Bertram, Ch. Garth (Eds.) : Visualization of Large and Unstructured Data Sets, pp. 36-53, 2007.
Aaron Knoll, Younis Hijazi, Charles Hansen, Ingo Wald and Hans Hagen; Interactive Ray Tracing of Arbitrary Implicits with SIMD Interval Arithmetic; Proceedings of the 2nd IEEE/EG Symposium on Interactive Ray Tracing, pp. 11-18, 2007.
Younis Hijazi and Thomas Breuel; Computing Arrangements using Subdivision and Interval Arithmetic; In P. Chenin, T. Lyche and L.L. Schumaker (Eds.) : Proceedings of the Sixth International Conference on Curves and Surfaces, June 29-July 5, 2006, Avignon, France, Curve and Surface Design: Avignon 2006, Nashboro Press, pp. 173-182, 2007.
Younis Hijazi; Arrangements of Planar Curves; In H. Hagen, A. Kerren, P. Dannenmann (Eds.) : Visualization of Large and Unstructured Data Sets, Proceedings of the first workshop of DFG's International Research Training Group "Visualization of Large and Unstructured Data Sets - Applications in Geospatial Planning, Modeling, and Engineering", June 14-16, 2006, Dagstuhl, Germany, GI-Edition, Lecture Notes in Informatics, Seminars Series, Volume S-4, pp. 59-68, 2006.
Younis Hijazi; 4D animation; M.Sc. thesis, Universités Paris Sud (Orsay) and Louis Pasteur (Strasbourg), Sep. 2004.