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IEEE Transactions on Pattern Analysis and Machine Intelligence
Numerical recipes: the art of scientific computing
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SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
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ACM Transactions on Graphics (TOG) - Special issue on interactive sculpting
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SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Efficient simplification of point-sampled surfaces
Proceedings of the conference on Visualization '02
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IEEE Computer Graphics and Applications
Modeling with Triangular B-Splines
IEEE Computer Graphics and Applications
Registration of 3D Intraoperative MR Images of the Brain Using a Finite Element Biomechanical Model
MICCAI '00 Proceedings of the Third International Conference on Medical Image Computing and Computer-Assisted Intervention
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IEEE Transactions on Visualization and Computer Graphics
Geometry and Topology for Mesh Generation (Cambridge Monographs on Applied and Computational Mathematics)
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SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
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The Visual Computer: International Journal of Computer Graphics
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This paper presents a novel computational framework based on dynamic spherical volumetric simplex splines for simulation of genuszero real-world objects. In this framework, we first develop an accurate and efficient algorithm to reconstruct the high-fidelity digital model of a real-world object with spherical volumetric simplex splines which can represent with accuracy geometric, material, and other properties of the object simultaneously. With the tight coupling of Lagrangian mechanics, the dynamic volumetric simplex splines representing the object can accurately simulate its physical behavior because it can unify the geometric and material properties in the simulation. The visualization can be directly computed from the object's geometric or physical representation based on the dynamic spherical volumetric simplex splines during simulation without interpolation or resampling. We have applied the framework for biomechanic simulation of brain deformations, such as brain shifting during the surgery and brain injury under blunt impact. We have compared our simulation results with the ground truth obtained through intra-operative magnetic resonance imaging and the real biomechanic experiments. The evaluations demonstrate the excellent performance of our new technique presented in this paper.