Download Computational Biomechanics for Medicine: Models, Algorithms by Hadrien Courtecuisse, Pierre Kerfriden, Stéphane P. A. PDF

By Hadrien Courtecuisse, Pierre Kerfriden, Stéphane P. A. Bordas (auth.), Adam Wittek, Karol Miller, Poul M.F. Nielsen (eds.)

One of the best demanding situations for mechanical engineers is to increase the good fortune of computational mechanics to fields open air conventional engineering, specifically to biology, biomedical sciences, and medication. This ebook is a chance for computational biomechanics experts to give and alternate reviews at the possibilities of using their innovations to computer-integrated medicine.

Computational Biomechanics for medication: types, Algorithms and Implementation collects the papers from the 7th Computational Biomechanics for medication Workshop held in great along with the clinical photo Computing and machine Assisted Intervention convention. the subjects coated contain: clinical photograph research, image-guided surgical procedure, surgical simulation, surgical intervention making plans, affliction diagnosis and diagnostics, damage mechanism research, implant and prostheses layout, and scientific robotics.

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Extra resources for Computational Biomechanics for Medicine: Models, Algorithms and Implementation

Example text

When cutting progresses from one cutting plane to the next without direction change, the values of level set function φ of the nodes and integration points whose φ n ≥ 0 need to be updated. The update process is illustrated in Fig. 3. No update is done in the space where φ n < 0 (indicated as non-update space Ω non-update in Fig. 3) while the rest of the analysed domain (where φ n ≥ 0) is an update space ψ n+1 = ψ n in Ω φ n+1 = φ n in Ω non-update φ n+1 (x, y, z) = (x − xn+1 ep ) + z − zn+1 ep Txn+1 T n+1 + (y − yn+1 ep ) Tzn+1 T n+1 in Ω update (3) (4) Tyn+1 T n+1 (5) where Ω is the union of Ω non-update and Ω update regions.

If there is no node at the discretised position of the rest of the cutting planes, two nodes (having the same coordinates) are added at this position. If there is an existing node at the discretised position or elsewhere on the cutting planes, we split this node into two nodes having the same coordinates. 3 Update of Level Set Values of Nodes and Integration Points During Progressing Cutting When cutting progresses from one cutting plane to the next, the level set values of functions ψ and φ at the nodes and the integration points need to be updated.

When cutting progresses from one cutting plane to the next without direction change, the values of level set function φ of the nodes and integration points whose φ n ≥ 0 need to be updated. The update process is illustrated in Fig. 3. No update is done in the space where φ n < 0 (indicated as non-update space Ω non-update in Fig. 3) while the rest of the analysed domain (where φ n ≥ 0) is an update space ψ n+1 = ψ n in Ω φ n+1 = φ n in Ω non-update φ n+1 (x, y, z) = (x − xn+1 ep ) + z − zn+1 ep Txn+1 T n+1 + (y − yn+1 ep ) Tzn+1 T n+1 in Ω update (3) (4) Tyn+1 T n+1 (5) where Ω is the union of Ω non-update and Ω update regions.

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