This thesis is about geometry parametrization for node-based shape optimization. A new formulation of the shape representation based on a design control field is introduced. This method incorporates the filtering operator in the definition of the design variables by a linear mapping between the geometry and the design control field. This consistent methodology allows for efficient shape optimization of complex geometries with millions of design variables. Applications of this method in the fields of automotive industry, as well as structural design and wind engineering are presented.
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