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Tag: math

Season 01 – Episode 10 – IK UpVector and Pop Limit

IK UpVector and Pop Limit

We explain how to introduce an UpVector in our custom IK solver. Following that we take a look at the numbers and reasons behind the classic IK over extension “pop”.

Some nodelling, some applied maths, some maths theory…
It’s a slow but, hopefully, interesting mixed bag this episode

Enjoy,

Season 01 – Episode 08 – IK Explained

IK Mechanics Explained

On overwhelming popular vote we take a break from nodelling and, before moving to work on the leg proper, we spend some time explaining how IK actually works, and how you can bake your own.

I don’t know if I would call it a math heavy video, probably not, but I do like the picture it draws of practical application, and how some things (IK in this case) are often much simpler to reproduce than they are assumed to be.

Enjoy,

Season 01 – Episode 01 – Set and Graph Theory Vocabulary

Welcome to a new season of Cult of Rig.

In the interest of building up vocabulary on math fundamentals for the rest of the season we introduce Set and Graph Theory.

Both the video description and a comment under it contain an Errata Corrige I have to make here as well:
While talking about the inverse function of sin, arcsin, I mention the co-domain of the function being -pi to +pi; that is incorrect, as the domain of arcsin spans the half circle, and therefore is -1/2pi to +1/2pi

Pilot Season – Day 8 – Trigonometry

Day 8 of the stream, a crash course in trigonometry and why it’s important in matrix multiplication.

I backpedaled on my decision of showing implementation first and explain later.

We to start from a healthy dose of very practical theory with Trigonometry, and introduce the actual scalar guts of matrix operations. This prepares the ground for the next stream, where all of this will be applied.

For more and more specific math learning I can’t recommend Khan Academy warmly enough, which also happens to be free.

Keep up to date with Streams and events on the calendar page. And if you’re enjoying the content remember to play the Media/YouTube game and please subscribe, like and share, it makes a great deal of difference.

Pilot Season – Day 7 – Component Rigging

Day Seven of the stream, a rigging heavy session, is now available on the YouTube Archives.

We introduce, solely for the purpose of application, matrix multiplication. We build up from where we left with inversion in previous streams, and then proceed into a solid 70 minutes run of pure nodelling goodness!

 

Remember to keep up to date with Streams and events on the calendar page. And if you’re enjoying the content remember to play the Media/YouTube game and please subscribe, like and share, it makes a great deal of difference.

Enjoy: