000 | 04244nam a22005055i 4500 | ||
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001 | 978-3-031-02585-3 | ||
003 | DE-He213 | ||
005 | 20240730164253.0 | ||
007 | cr nn 008mamaa | ||
008 | 220601s2016 sz | s |||| 0|eng d | ||
020 |
_a9783031025853 _9978-3-031-02585-3 |
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024 | 7 |
_a10.1007/978-3-031-02585-3 _2doi |
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050 | 4 | _aQA1-939 | |
072 | 7 |
_aPB _2bicssc |
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_aMAT000000 _2bisacsh |
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072 | 7 |
_aPB _2thema |
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082 | 0 | 4 |
_a510 _223 |
100 | 1 |
_aSifakis, Eftychios. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _983450 |
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245 | 1 | 0 |
_aFinite Element Method Simulation of 3D Deformable Solids _h[electronic resource] / _cby Eftychios Sifakis, Jernej Barbič. |
250 | _a1st ed. 2016. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016. |
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300 |
_aXII, 57 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aSynthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, _x2469-4223 |
|
505 | 0 | _aElasticity in Three Dimensions -- Constitutive Models of Materials -- Discretization and Time Integration -- Model Reduction -- Bibliography -- Authors' Biographies . | |
520 | _aThis book serves as a practical guide to simulation of 3D deformable solids using the Finite Element Method (FEM). It reviews a number of topics related to the theory and implementation of FEM approaches: measures of deformation, constitutive laws of nonlinear materials, tetrahedral discretizations, and model reduction techniques for real-time simulation. Simulations of deformable solids are important in many applications in computer graphics, including film special effects, computer games, and virtual surgery. The Finite Element Method has become a popular tool in many such applications. Variants of FEM catering to both offline and real-time simulation have had a mature presence in computer graphics literature. This book is designed for readers familiar with numerical simulation in computer graphics, who would like to obtain a cohesive picture of the various FEM simulation methods available, their strengths and weaknesses, and their applicability in various simulation scenarios. The book is also a practical implementation guide for the visual effects developer, offering a lean yet adequate synopsis of the underlying mathematical theory. Chapter 1 introduces the quantitative descriptions used to capture the deformation of elastic solids, the concept of strain energy, and discusses how force and stress result as a response to deformation. Chapter 2 reviews a number of constitutive models, i.e., analytical laws linking deformation to the resulting force that has successfully been used in various graphics-oriented simulation tasks. Chapter 3 summarizes how deformation and force can be computed discretely on a tetrahedral mesh, and how an implicit integrator can be structured around this discretization. Finally, chapter 4 presents the state of the art in model reduction techniques for real-time FEM solid simulation and discusses which techniques are suitable for which applications. Topics discussed in this chapter include linear modal analysis, modal warping, subspace simulation, and domain decomposition. | ||
650 | 0 |
_aMathematics. _911584 |
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650 | 0 |
_aImage processing _xDigital techniques. _94145 |
|
650 | 0 |
_aComputer vision. _983451 |
|
650 | 1 | 4 |
_aMathematics. _911584 |
650 | 2 | 4 |
_aComputer Imaging, Vision, Pattern Recognition and Graphics. _931569 |
700 | 1 |
_aBarbič, Jernej. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _983453 |
|
710 | 2 |
_aSpringerLink (Online service) _983454 |
|
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783031014574 |
776 | 0 | 8 |
_iPrinted edition: _z9783031037139 |
830 | 0 |
_aSynthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and Imaging, _x2469-4223 _983456 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-02585-3 |
912 | _aZDB-2-SXSC | ||
942 | _cEBK | ||
999 |
_c85511 _d85511 |