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020 _a9783031795640
_9978-3-031-79564-0
024 7 _a10.1007/978-3-031-79564-0
_2doi
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072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
_2thema
082 0 4 _a510
_223
100 1 _aNiebe, Sarah.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979147
245 1 0 _aNumerical Methods for Linear Complementarity Problems in Physics-Based Animation
_h[electronic resource] /
_cby Sarah Niebe, Kenny Erleben.
250 _a1st ed. 2015.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aVIII, 151 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 Computer Graphics and Animation,
_x1933-9003
505 0 _aIntroduction -- Numerical Methods -- Guide for Software and Selecting Methods -- Bibliography -- Authors' Biographies .
520 _aLinear complementarity problems (LCPs) have for many years been used in physics-based animation to model contact forces between rigid bodies in contact. More recently, LCPs have found their way into the realm of fluid dynamics. Here, LCPs are used to model boundary conditions with fluid-wall contacts. LCPs have also started to appear in deformable models and granular simulations. There is an increasing need for numerical methods to solve the resulting LCPs with all these new applications. This book provides a numerical foundation for such methods, especially suited for use in computer graphics. This book is mainly intended for a researcher/Ph.D. student/post-doc/professor who wants to study the algorithms and do more work/research in this area. Programmers might have to invest some time brushing up on math skills, for this we refer to Appendices A and B. The reader should be familiar with linear algebra and differential calculus. We provide pseudo code for all the numerical methods, which should be comprehensible by any computer scientist with rudimentary programming skills. The reader can find an online supplementary code repository, containing Matlab implementations of many of the core methods covered in these notes, as well as a few Python implementations [Erleben, 2011]. Table of Contents: Introduction / Numerical Methods / Guide for Software and Selecting Methods / Bibliography / Authors' Biographies.
650 0 _aMathematics.
_911584
650 0 _aImage processing
_xDigital techniques.
_94145
650 0 _aComputer vision.
_979148
650 1 4 _aMathematics.
_911584
650 2 4 _aComputer Imaging, Vision, Pattern Recognition and Graphics.
_931569
700 1 _aErleben, Kenny.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_979149
710 2 _aSpringerLink (Online service)
_979150
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031795633
776 0 8 _iPrinted edition:
_z9783031795657
830 0 _aSynthesis Lectures on Computer Graphics and Animation,
_x1933-9003
_979151
856 4 0 _uhttps://doi.org/10.1007/978-3-031-79564-0
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