? Stable Real-Time Surgical Cutting Simulation of Deformable Objects Embedded with Arbitrary Triangular Meshes
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Journal of Computer Science and Technology 2017, Vol. 32 Issue (6) :1198-1213    DOI: 10.1007/s11390-017-1794-z
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Stable Real-Time Surgical Cutting Simulation of Deformable Objects Embedded with Arbitrary Triangular Meshes
Shi-Yu Jia, Zhen-Kuan Pan*, Member, CCF, Guo-Dong Wang, Member, CCF, Wei-Zhong Zhang, Member, CCF, Xiao-Kang Yu
College of Computer Science and Technology, Qingdao University, Qingdao 266071, China

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Abstract Surgical simulators need to simulate deformation and cutting of deformable objects. Adaptive octree mesh based cutting methods embed the deformable objects into octree meshes that are recursively refined near the cutting tool trajectory. Deformation is only applied to the octree meshes; thus the deformation instability problem caused by degenerated elements is avoided. Biological tissues and organs usually contain complex internal structures that are ignored by previous work. In this paper the deformable objects are modeled as voxels connected by links and embedded inside adaptive octree meshes. Links swept by the cutting tool are disconnected and object surface meshes are reconstructed from disconnected links. Two novel methods for embedding triangular meshes as internal structures are proposed. The surface mesh embedding method is applicable to arbitrary triangular meshes, but these meshes have no physical properties. The material sub-region embedding method associates the interiors enclosed by the triangular meshes with physical properties, but requires that these meshes are watertight, and have no self-intersections, and their smallest features are larger than a voxel. Some local features are constructed in a pre-calculation stage to increase simulation performance. Simulation tests show that our methods can cut embedded structures in a way consistent with the cutting of the deformable objects. Cut fragments can also deform correctly along with the deformable objects.
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Keywordssurgical simulation   physically based modeling   deformable object   interactive cutting   adaptive octree mesh     
Received 2017-06-19;
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The work was supported by the National Key Technology Support Program of China during the Twelfth Five-Year Plan Period under Grant No. 2013BAI01B03.

Corresponding Authors: Zhen-Kuan Pan     Email: zkpan@qdu.edu.cn
About author: Shi-Yu Jia received his Ph.D.degree in mechanical engineering from Yale University,City of New Haven,in 2001.His Ph.D.research is related to finite element analysis and computer simulation of composite material properties.He began working in College of Computer Science and Technology (former College of Information Engineering),Qingdao University,Qingdao,in 2003,and was appointed to associate professor in 2004.
Cite this article:   
Shi-Yu Jia, Zhen-Kuan Pan, Guo-Dong Wang, Wei-Zhong Zhang, CCF Xiao-Kang Yu.Stable Real-Time Surgical Cutting Simulation of Deformable Objects Embedded with Arbitrary Triangular Meshes[J]  Journal of Computer Science and Technology, 2017,V32(6): 1198-1213
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