000 04244nam a22005055i 4500
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
024 7 _a10.1007/978-3-031-02585-3
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aSifakis, Eftychios.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_983450
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.
300 _aXII, 57 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
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
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