Convert vector interpolation to quaternion interpolation? (Catmull-Rom)

Posted by edA-qa mort-ora-y on Game Development See other posts from Game Development or by edA-qa mort-ora-y
Published on 2014-06-04T08:24:39Z Indexed on 2014/06/04 9:39 UTC
Read the original article Hit count: 395

Filed under:

mathematics

|

quaternion

|

interpolation

I have some existing code which does catmull-rom interpolation on two vectors (facing and up). I'm converting this to use quaternions instead (to replace the two vectors). Is there a general way to convert the vector based interpolation to a quaternion one?

The approach I'm using now is to exact the axis and angle from the quanternion. I then interpolate each of those independently and convert back to a quaternion. Is there a more direct method?

© Game Development or respective owner

Related posts about mathematics

Deriving arrays in mathematics

as seen on Stack Overflow - Search for 'Stack Overflow'
So I found some similarities between arrays and set notation while learning about sets and sequences in precalc e.g. set notation: {a | cond } = { a1, a2, a3, a4, ..., an} given that n is the domain (or index) of the array, a subset of Natural numbers (or unsigned integer). Most programming languages… >>> More
Extreme Optimization Numerical Libraries for .NET – Part 1 of n

as seen on Geeks with Blogs - Search for 'Geeks with Blogs'
While many of my colleagues are fascinated in constructing the ultimate ViewModel or ServiceBus, I feel that this kind of plumbing code is re-invented far too many times – at some point in the near future, it will be out of the box standard infra. How many times have you been to a customer site and… >>> More
Street-Fighting Mathematics

as seen on Dr Dobbs - Search for 'Dr Dobbs'
Sanjoy Mahajan's new book lays out practical tools for educated guessing and down-and-dirty problem-solving Problem solving - Math - Recreations - Competitions - Methods and Theories >>> More
The Numerical ‘Magic’ of Cyclic Numbers

as seen on How to geek - Search for 'How to geek'
If you love crunching numbers or are just a fan of awesome number ‘tricks’ to impress your friends with, then you will definitely want to have a look at cyclic numbers. Dr Tony Padilla from the University of Nottingham shows how these awesome numbers work in Numberphile’s latest… >>> More
How Big Is a Billion? [Video]

as seen on How to geek - Search for 'How to geek'
A billion is a billion except, when it isn’t. Depending on where and when you were raised and educated, the world “billion” is some magnitudes different–read on to see the difference between a billion in long and short number systems. [via Geeks Are Sexy] Here’s… >>> More

Related posts about quaternion

How do I implement a quaternion based camera?

as seen on Game Development - Search for 'Game Development'
I looked at several tutorials about this and when I thought I understood I tried to implement a quaternion based camera. The problem is it doesn't work correctly, after rotating for approx. 10 degrees it jumps back to -10 degrees. I have no idea what's wrong. I'm using openTK and it already has a… >>> More
How to find vector for the quaternion from X Y Z rotations

as seen on Stack Overflow - Search for 'Stack Overflow'
I am creating a very simple project on OpenGL and I'm stuck with rotations. I am trying to rotate an object indepentdently in all 3 axes: X, Y, and Z. I've had sleepless nights due to the "gimbal lock" problem after rotating about one axis. I've then learned that quaternions would solve my problem… >>> More
Convert a Unit Vector to a Quaternion

as seen on Stack Overflow - Search for 'Stack Overflow'
So I'm very new to quaternions, but I understand the basics of how to manipulate stuff with them. What I'm currently trying to do is compare a known quaternion to two absolute points in space. I'm hoping what I can do is simply convert the points into a second quaternion, giving me an easy way to… >>> More
Convert rotation from Right handed System to left handed

as seen on Game Development - Search for 'Game Development'
I have Euler angles from a right handed system that I am trying to convert to a left handed system. All the information that I have read online says that to convert it simply multiply the axis and the angle in the correct order and it should work. In other words, Z * Y * X. When I do this what I… >>> More
Quaternion Camera

as seen on Game Development - Search for 'Game Development'
Can someone help me figure out how to use a Quaternion with the PerspectiveCamera in libGDX or in general? I am trying to rotate my camera around a sphere that is being drawn at (0,0,0). I am not sure how to go about setting up the quaternion correctly, manipulating it, and then applying it to the… >>> More