研究成果

[Course] Mathematical Basics of Motion and Deformation in Computer Graphics
Ken Anjyo, Hiroyuki Ochiai
SIGGRAPH '14 ACM SIGGRAPH 2014 Courses Article No. 19 (The talk slides and course notes are available. 2014.8.20)
While many technical terms, such as Euler angle, quaternion, and affine transformation, are now quite popular in computer graphics, their graphical meanings are sometimes a bit far from the original mathematical entities, which could cause misunderstanding or misuse of the mathematical techniques. The concepts are inherited mostly from differential geometry and Lie theory, and are now commonly used in various aspects of computer graphics, including curve/surface editing, deformation, and animation of geometric objects.

The objective of this course is to fill the gap between the original mathematical concepts and the practical meanings in computer graphics without assuming any prior knowledge of pure mathematics. It illustrates the practical utility of deep understanding of the mathematical concepts.

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- Talk slides / Course Notes
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