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020 _a9783031795619
024 7 _a10.1007/978-3-031-79561-9
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aT385
_b2017 EB
100 1 _aAnjyo, Ken
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9687572
245 1 0 _aMathematical Basics of Motion and Deformation in Computer Graphics
_cby Ken Anjyo, Hiroyuki Ochiai
250 _a1st edition 2017
264 1 _aCham
_bSpringer International Publishing
_c2017
300 _a1 recurso en línea (XVI, 101 páginas)
336 _aTexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
490 0 _aSynthesis Lectures on Computer Graphics and Animation
_x1933-9003
505 0 _aPreface -- Symbols and Notations -- Introduction -- Rigid Transformation -- Affine Transformation -- Exponential and Logarithm of Matrices -- 2D Affine Transformation between Two Triangles -- Global 2D Shape Interpolation -- Parametrizing 3D Positive Affine Transformations -- Further Readings -- Bibliography -- Authors' Biographies .
520 _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. Table of Contents: Preface / Symbols and Notations / Introduction / Rigid Transformation / Affine Transformation / Exponential and Logarithm of Matrices / 2D Affine Transformation between Two Triangles / Global 2D Shape Interpolation / Parametrizing 3D Positive Affine Transformations / Further Readings / Bibliography / Authors' Biographies.
988 _aSynthesis Collection of Technology_2017
650 7 _2embne
_9141143
_aGráficos de ordenador
650 7 _2embne
_9141454
_aAnimación por ordenador
700 _aOchiai, Hiroyuki.
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9100911
776 0 8 _iPrinted edition:
_z9783031795602
776 0 8 _iPrinted edition:
_z9783031795626
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-79561-9
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b05/2023
_dz
_eb
_zSI