2002 · 50 citations · 21 references
ComputingMaxillofacial SurgerySurgery3D ModelingFinite Element AnalysisFinite Element MethodsShape FunctionsSolid ModelingSurface ModelingSurface ReconstructionThree-dimensional Reconstruction3D Facial ReconstructionComputational EfficiencyComputational Efficiency AnalysisComputer-aided Surgical SimulationElasticityFinite Element ModelingSurgical PlanningThree-dimensional Surgical Simulation
The accurate prediction of the post-surgical facial shape is of paramount importance for surgical planning in facial surgery. In this paper we present a framework for facial surgery simulation which is based on volumetric finite element modeling. We contrast conventional procedures for surgical planning against our system by accompanying a patient during the entire process of planning, medical treatment and simulation. In various preprocessing steps a 3D physically based facial model is reconstructed from CT and laser range scans. All geometric and topological changes are modeled interactively using Alias.™ Applying fully 3D volumetric elasticity allows us to represent important volumetric effects such as incompressibility in a natural and physically accurate way. For computational efficiency, we devised a novel set of prismatic shape functions featuring a globally C1-continuous surface in combination with a C0 interior. Not only is it numerically accurate, but this construction enables us to compute smooth and visually appealing facial shapes.
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Numerical recipes in C: the art of scientific computing
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