IEEE Trans Vis Comput Graph - Orientation-Preserving Rod Elements for Realtime Thin Shell Simulation.

Tópicos

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{ research(1218) medic(880) student(794) }
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{ data(2317) use(1299) case(1017) }
{ age(1611) year(1155) adult(843) }
{ signal(2180) analysi(812) frequenc(800) }
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{ sampl(1606) size(1419) use(1276) }
{ gene(2352) biolog(1181) express(1162) }
{ data(3008) multipl(1320) sourc(1022) }
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{ time(1939) patient(1703) rate(768) }
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Resumo

We propose a new computation model for simulating elastic thin shells at interactive rates. Existing graphical simulation methods are mostly based on dihedral angle energy functions, which need to compute the first-order and second-order partial derivatives with respect to current vertex positions as bending forces and stiffness matrices. The symbolic derivatives are complicated in non-isometric element deformations. To simplify computing the derivatives, instead of directly constructing the dihedral angle energy, we use the orientation change energy of mesh edges. A continuum mechanics based, orientation-preserving rod element model is developed to provide the bending forces. The advantage of our method is simple bending force and stiffness matrix computation, since in the rod model we apply a novel incremental construction of the deformation gradient tensor to linearize both tensile and orientation deformations. Consequently, our model is efficient, easy to implement, and supports both quadrilateral and triangle meshes. It also treats shells and plates uniformly.

Resumo Limpo

propos new comput model simul elast thin shell interact rate exist graphic simul method most base dihedr angl energi function need comput firstord secondord partial deriv respect current vertex posit bend forc stiff matric symbol deriv complic nonisometr element deform simplifi comput deriv instead direct construct dihedr angl energi use orient chang energi mesh edg continuum mechan base orientationpreserv rod element model develop provid bend forc advantag method simpl bend forc stiff matrix comput sinc rod model appli novel increment construct deform gradient tensor linear tensil orient deform consequ model effici easi implement support quadrilater triangl mesh also treat shell plate uniform

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