| 000 | 05044nam a2200709 i 4500 | ||
|---|---|---|---|
| 001 | 6949411 | ||
| 003 | IEEE | ||
| 005 | 20200413152915.0 | ||
| 006 | m eo d | ||
| 007 | cr cn |||m|||a | ||
| 008 | 141119s2014 caua foab 000 0 eng d | ||
| 020 |
_a9781627054454 _qebook |
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| 020 |
_z9781627054447 _qprint |
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| 024 | 7 |
_a10.2200/S00599ED1V01Y201409CGR017 _2doi |
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| 035 | _a(CaBNVSL)swl00404340 | ||
| 035 | _a(OCoLC)896433954 | ||
| 040 |
_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL |
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| 050 | 4 |
_aT385 _b.A534 2014 |
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| 082 | 0 | 4 |
_a006.6869 _223 |
| 090 |
_a _bMoCl _e201409CGR017 |
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| 100 | 1 |
_aAnjyo, Ken., _eauthor. |
|
| 245 | 1 | 0 |
_aMathematical basics of motion and deformation in computer graphics / _cKen Anjyo, Hiroyuki Ochiai. |
| 264 | 1 |
_aSan Rafael, California (1537 Fourth Street, San Rafael, CA 94901 USA) : _bMorgan & Claypool, _c2014. |
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| 300 |
_a1 PDF (xii, 71 pages) : _billustrations. |
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| 336 |
_atext _2rdacontent |
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| 337 |
_aelectronic _2isbdmedia |
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| 338 |
_aonline resource _2rdacarrier |
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| 490 | 1 |
_aSynthesis lectures on computer graphics and animation, _x1933-9003 ; _v# 17 |
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| 538 | _aMode of access: World Wide Web. | ||
| 538 | _aSystem requirements: Adobe Acrobat Reader. | ||
| 500 | _aPart of: Synthesis digital library of engineering and computer science. | ||
| 504 | _aIncludes bibliographical references (pages 65-69). | ||
| 505 | 0 | _a1. Introduction -- | |
| 505 | 8 | _a2. Rigid transformation -- 2.1 Translation in 2D -- 2.2 Rotation in 2D -- 2.3 Rigid transformation in 2D -- 2.4 Reflections in 2D -- 2.5 3D rotation: axis-angle -- 2.6 3D rotation: Euler angle -- 2.7 3D rotation: quaternion -- 2.8 Dual quaternion -- 2.9 Using complex numbers -- 2.10 Dual complex numbers -- 2.11 Homogeneous expression of rigid transformations -- | |
| 505 | 8 | _a3. Affine transformation -- 3.1 Several classes of transformations -- 3.2 Semidirect product -- 3.3 Decomposition of the set of matrices -- 3.3.1 Polar decomposition -- 3.3.2 Diagonalization of positive definite symmetric matrix -- 3.3.3 Singular value decomposition (SVD) -- | |
| 505 | 8 | _a4. Exponential and logarithm of matrices -- 4.1 Exponential: definitions and basic properties -- 4.2 Lie algebra -- 4.3 Exponential map from Lie algebra -- 4.4 Another definition of Lie algebra -- 4.5 Lie algebra and decomposition -- 4.6 Loss of continuity: singularities of the exponential map -- 4.7 The field of blending -- | |
| 505 | 8 | _a5. 2D affine transformation between two triangles -- 5.1 Triangles and an affine transformation -- 5.2 Comparison of three interpolation methods -- | |
| 505 | 8 | _a6. Global 2D shape interpolation -- 6.1 Local to global -- 6.2 Formulation -- 6.3 Error function for global interpolation -- 6.4 Examples of local error functions -- 6.5 Examples of constraint functions -- | |
| 505 | 8 | _a7. Parametrizing 3D positive affine transformations -- 7.1 The parametrization map and its inverse -- 7.2 Deformer applications -- 7.3 Integrating with Poisson mesh editing -- 7.3.1 The Poisson edits -- 7.3.2 Harmonic guidance -- 7.3.3 The parametrization map for Poisson mesh editing -- | |
| 505 | 8 | _a8. Further readings -- Bibliography -- Authors' biographies. | |
| 506 | 1 | _aAbstract freely available; full-text restricted to subscribers or individual document purchasers. | |
| 510 | 0 | _aCompendex | |
| 510 | 0 | _aINSPEC | |
| 510 | 0 | _aGoogle scholar | |
| 510 | 0 | _aGoogle book search | |
| 520 | 3 | _aThis synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. Starting with familiar concepts in graphics, such as Euler angles, quaternions, and affine transformations, we illustrate that a mathematical theory behind these concepts enables us to develop the techniques for efficient/effective creation of computer animation. This book, therefore, serves as a good guidepost to mathematics (differential geometry and Lie theory) for students of geometric modeling and animation in computer graphics. Experienced developers and researchers will also benefit from this book, since it gives a comprehensive overview of mathematical approaches that are particularly useful in character modeling, deformation, and animation. | |
| 530 | _aAlso available in print. | ||
| 588 | _aTitle from PDF title page (viewed on November 19, 2014). | ||
| 650 | 0 |
_aComputer graphics _xMathematics. |
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| 650 | 0 |
_aComputer animation _xMathematics. |
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| 653 | _amotion | ||
| 653 | _adeformation | ||
| 653 | _aquaternion | ||
| 653 | _aLie group | ||
| 653 | _aLie algebra | ||
| 700 | 1 |
_aOchiai, Hiroyuki, _d1965-, _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9781627054447 |
| 830 | 0 | _aSynthesis digital library of engineering and computer science. | |
| 830 | 0 |
_aSynthesis lectures in computer graphics and animation ; _v# 17. _x1933-9003 |
|
| 856 | 4 | 0 |
_3Abstract with links to full text _uhttp://dx.doi.org/10.2200/S00599ED1V01Y201409CGR017 |
| 856 | 4 | 2 |
_3Abstract with links to resource _uhttp://ieeexplore.ieee.org/servlet/opac?bknumber=6949411 |
| 999 |
_c562094 _d562094 |
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