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The value of computational geometry algorithms show their full potential when properly integrated into advanced information flows in industry and government. Some projects address short term challenges while other projects address long term challenges. Many of the projects produce algorithms that are made available to other researchers and industry  though our software toolkits and the projects supporting these toolkits.

Computational geometry and isogeometric representation

We currently participate in 3 projects within isogeometric representation and analysis, see the thematic pages addressing Isogeometric analysis for detailed information. Our role is concentrated on different aspect of isogeometric representation and the development of the isogeometric toolkit.

  • Isogeometry: A project sponsored 80% by the research council of Norway and 20% by industry addressing the challenges of bridging the technology gap between ISO STEP type CAD-models and volumetric spline based Isogeometric representation.
  • ICADA.  A project sponsored 80% by the research council of Norway and 20% by industry addressing the challenges of isogeometric analysis. The starting point here is the volumetric isogeometric spline based representation. The computational geometry part of this project is direct modelling of structures isogeometric volumes described with tri-variate B-splines. While the modelling  of structures of B-spline surfaces from curves has many well established methods in Computer Aided Design (CAD),  little prior work exists in modelling of B-spline volumes from B-spline surfaces. While the CAD-approach is to the extent possible shields the user from the actual spline basis functions used, it is essential in analysis for the user to have access to the basis functions. This consequently poses many new challenges for the interfaces to be developed to the emerging isogeometric toolkit.
  • Exciting – A STREP sponsored by EU’s Transport program. This project addresses different uses of isogeometric analysis. The SINTEF role is related to developing the Isogeometric Toolkit and to the extent possible coordinate this work with the two projects mentioned above,

Computational geometry and the semantics of shape

The integration of geometric information in advanced information flows is significantly simplified by semantic annotation. We have participated in two EU-sponsored projects related to the semantics of shape

  • Aim@Shape (2004-2007) a network of Excellence   
  • FOCUS K3D (2008-2010) a fp7 Coordination Actions

Computational geometry and approximate algebraic geometry

In many geometric algorithms the combination of algebraic and parametric representations is beneficial to achieve good computational performance.



Projects addressing computational geometric algorithms on modern heterogenous many core processors



Published November 16, 2009