书目名称 | Mathematical Basics of Motion and Deformation in Computer Graphics | 编辑 | Ken Anjyo,Hiroyuki Ochiai | 视频video | | 丛书名称 | Synthesis Lectures on Visual Computing: Computer Graphics, Animation, Computational Photography and | 图书封面 |  | 描述 | This 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 | 出版日期 | Book 2017 | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-79561-9 | isbn_ebook | 978-3-031-79561-9Series ISSN 2469-4215 Series E-ISSN 2469-4223 | issn_series | 2469-4215 | copyright | Springer Nature Switzerland AG 2017 |
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