Matrix Math Resources

by user11 posted 03-11-2017 | 7 comments

Hi all,

I find dealing with matrices in Maya very powerful but sometimes not exactly intuitive so I thought I'd start a thread to share resources that will help you make matrix constraints, calculate vectors etc.

Feel free to post links about linear algebra that you found useful.

Niels

Kimon Matara has some great basic tutorials on how matrices are handled in Maya, how to get vectors and what to do with them. Check out his other tutorials as well! http://www.kimonmatara.com/hands_on_matrices/ http://www.kimonmatara.com/intro_to_vectors/

Of course Vasil posted a bunch of great matrix math tutorials http://bindpose.com/maya-matrix-nodes-blending-matrices/ http://bindpose.com/maya-matrix-nodes-part-2-node-based-matrix-twist-calculator/

This class by Autodesk does a great job of introducing you to 3D maths. https://area.autodesk.com/learning/class3_q1_2012/

And of course Marco Giordano's classic "Building a pose reader with Maya nodes" https://vimeo.com/64958089

Got any great links? Please do share them!

by user3 posted 15-11-2017

I just stumbled on this playlist on youtube which provides really nice explanations for linear algebra concepts.

by user60 posted 09-11-2017

Here a some more math links:

The transformation matrix is very useful, when understood. | duber's blog http://blog.duber.cz/3ds-max/the-transformation-matrix-is-useful-when-understood

Understanding 2D Transformations: Maths for GameDev : gamedev https://www.reddit.com/r/gamedev/comments/4525xs/understanding_2d_transformations_maths_for_gamedev/

Stumbling Toward 'Awesomeness'Maya: Vector Math by Example - Stumbling Toward 'Awesomeness' http://www.chrisevans3d.com/pub_blog/maya-python-vector-math-primer/

djx blog » barycentric coordinates – part 1 http://www.djx.com.au/blog/2015/03/09/barycentric-coordinates-part-1/

Humane Rigging 03 - 3D Bouncy Ball 05 - Quaternion Rotation - YouTube https://www.youtube.com/watch?v=4mXL751ko0w&sns=tw

Intro to Quaternions - YouTube https://www.youtube.com/watch?v=fKIss4EV6ME

:: m a c a r o n i K a z o o :: » Matrices for Tech Artists http://www.macaronikazoo.com/?page_id=413

Tech Art Survival Guide: Bagels and Coffee, or, the vector dot product and you http://techartsurvival.blogspot.com/2014/11/bagels-and-coffee-or-vector-dot-product.html

Jorge Rodriguez - YouTube https://www.youtube.com/channel/UCEhBM2x5MG9-e_JSOzU068w

Andy Nicholas » Blog Archive » How to Read a 3×3 Matrix http://www.andynicholas.com/?p=861

Andy Nicholas » Blog Archive » Rotating Points With a 3×3 Matrix http://www.andynicholas.com/?p=911

Linear algebra for game developers ~ part 2 - Wolfire Games Blog http://blog.wolfire.com/2009/07/linear-algebra-for-game-developers-part-2/

Scratchapixel http://www.scratchapixel.com/index.php?redirect

Math is Fun Vectors https://www.mathsisfun.com/algebra/vectors.html

Katt's Mysterious 3D Lectures – Vector Application: A Better Rivet http://sugarandcyanide.com/blog/2009/06/20/katts-mysterious-3d-lectures-vector-application-a-better-rivet/

Math resources for 3d artists and animators #rigTip - Rigging Dojo http://www.riggingdojo.com/2012/11/09/math-resources-for-3d-artists-and-animators-rigtip/

3D Math - maya rigging wiki https://sites.google.com/site/mayariggingwiki/3d-math

Shannon Hochkins • Calculating the angle between vectors in Maya http://jinglezzz.tumblr.com/post/60149245050/calculating-the-angle-between-vectors-in-maya

Aim Transformation with the Maya API on Vimeo https://vimeo.com/90809955

Maths - lookAt function - Martin Baker http://www.euclideanspace.com/maths/algebra/vectors/lookat/

Math Magician – LookAt Algorithm – Keith M. Programming https://keithmaggio.wordpress.com/2011/01/19/math-magician-lookat-algorithm/

Math & Physics for Technicl guys - Technical Discussion / Rigging and Visuals - Tech-Artists.Org http://discourse.techart.online/t/math-physics-for-technicl-guys/185/38

Unite 2015 - A Little Math for Your Big Ideas - YouTube https://www.youtube.com/watch?v=OOeA0pJ8Y2s

Vector Maths - Unity Official Tutorials - YouTube https://www.youtube.com/watch?v=7DK8aA2qee8

Cuneyt Ozdas Tutorials - Max Script http://www.cuneytozdas.com/tutorials/maxscript/

David Parker - YouTube https://www.youtube.com/user/iamdavidwparker/

That Trigonometry Diagram Again | Advanced Math for Young Students http://advancedmathyoungstudents.com/blog/2017/10/06/that-trigonometry-diagram-again/

by user183 posted 04-07-2018

wow thank you for this list :)

by user3 posted 15-11-2017

Wow, that's a solid list! Thanks a lot for these! I have seen some of them, but I will definitely do my best to digest all of it!

by user8 posted 05-11-2017

Here's another link to add to the list. He goes over vector maths and applies it to how to calculate placement for pole vectors. https://vimeo.com/240328348

by user3 posted 04-11-2017

These are really cool links! I didn't know about the Kimon Matara ones and they are so nicely written!

by user7 posted 03-11-2017

Hey,

If you are looking for math classes you can alson check out khanAcademy: linear algebra course : https://www.youtube.com/watch?v=xyAuNHPsq-g&list=PLFD0EB975BA0CC1E0 and a lot more : https://www.youtube.com/user/khanacademy/playlists

also check out CultOfRig : https://www.youtube.com/channel/UCX0OBmpsTUCeGaTDbHSb88g/videos