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An elementary introduction to matrix exponential for CG

Lots of math talk lately, we have a great set of Math resources aimed directly at the CG artist wanting to better understand things like how Ik, constraints and animation works under the hood and this is a cool resource to add to that list.

Find our Rigging Math Resource here

and then check out this cool .pdf from SIGGRAPH 2016.

 

Source: An elementary introduction to matrix exponential for CG

This course presents an elementary, intuitive, and visual introduction to several mathematical basics for beginners in computer graphics. The mathematical concepts covered in this course include 2D/3D translation, rotation, affine transformation, quaternion, dual quaternion, exponential and logarithm. These are quite useful for various aspects of computer graphics, including curve/surface editing, deformation and animation of geometric objects. On one hand we don’t assume that the audience has familiarity with such mathematical concepts. Elements of linear algebra and calculus at undergraduate level are sufficient for the attendees of this course. To clarify the relation between these concepts and computer graphics practice, several graphics techniques will also be demonstrated, such as morphing (ARAP), cage-based deformation and Poisson mesh editing.

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