Simulating facial surgery using finite element models
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A physically based model to simulate maxillo-facial surgery from 3D CT images
Future Generation Computer Systems - Special issue on ITIS—an international telemedical information society
Improved 3D Osteotomy Planning in Cranio-maxillofacial Surgery
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
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MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
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SMI '04 Proceedings of the Shape Modeling International 2004
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ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
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ACM SIGGRAPH 2005 Papers
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ACM SIGGRAPH 2005 Papers
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ACM SIGGRAPH 2005 Papers
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IEEE Transactions on Visualization and Computer Graphics
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SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
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ACM SIGGRAPH 2006 Papers
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ACM Transactions on Graphics (TOG)
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SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
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IEEE Transactions on Visualization and Computer Graphics
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IEEE Transactions on Visualization and Computer Graphics
Physical modeling with orthotropic material based on harmonic fields
Computer Methods and Programs in Biomedicine
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This paper presents a novel inhomogeneous volumetric mesh deformation approach by gradient field manipulation, and uses it for maxillofacial surgery simulation. The study is inspired by the state-of-the-art surface deformation techniques based on differential representations. Working in the volumetric domain instead of on only the surface can preserve the volumetric details much better, avoid local self-intersections, and achieve better deformation propagation because of the internal mesh connections. By integrating the mesh cell material stiffness parameter into our new discrete volumetric Laplacian operator, it is very convenient to incorporate inhomogeneous materials into the deformation framework. In addition, the system matrix for solving the volumetric harmonic field to handle the local transformation problem is the same used for Poisson reconstruction equation, thus it requires solving essentially only one global linear system. The system is easy to use, and can accept explicit rotational constraints, or only translational constraints to drive the deformation. One typical maxillofacial surgery case was simulated by the new methodology with inhomogeneous material estimated directly from CT data, and compared to the commonly used finite element method (FEM) approach. The results demonstrated that the deformation methodology achieved good accuracy, as well as interactive performance. Therefore, the usage of our volumetric mesh deformation approach is relevant and suitable for daily clinical practice.