Quaternion and interpolation-Blog for 15464(Technical Animation) -3

I spent some time thereafter to get myself through the rotations represented by quaternions. The interpolation of rotations is the process of finding the geodesic curve on S3(3D-Sphere in 4D-space). It reminds me of the paper I am going to represent in the next week. The interpolation of affine transformation can be similarly done since the affine group has Lie structure and therefore can be viewed as a manifold. And the exponential map can be applied to find the geodesics on the manifold.

Blog for 15464(Technical Animation) -2

Comments of Jacobian method IK:

Basically, I think it's using Quasi-Newton's Method to find the root of S(Θ) - T = 0. But I am really curious about under what circumstances we can't obtain the function of position with respect to the parameters since it seems to me just a composition of a bunch of affine transformation.

Blog for 15464(Technical Animation) -1

Nice to meet you guys!

I am glad to share my thoughts and expectation about this course here!

Let me introduce myself first! I am a master's student majoring in Computational design. I double-majored in graphic design and math in the past. I am currently taking 15462(Computer Graphics) simultaneously. I am interested in computer graphics and relevant fields(geometry processing; animation and etc.). Now I am eager to find some interesting research topics to carry on (which is one of the most important purposes for me to take this course) to prepare my application of Ph.D.
My current envision is that I may get some research inspirations in this course.

I am now most interested in the simulation part of the course! :)