For question regarding the notion of orientation both in topology and in global analysis.
Questions tagged [orientation]
574 questions
2
votes
2 answers
Orientability in N Dimensions
Let's say I have a set of $N$ points which define an ($N-1$) dimensional triangle (or N dimensional surface if you wish). I define a normal to that surface pointing in a specific direction. I want to order my N points such that they have an…
zephyr
- 205
1
vote
1 answer
Using a detailed GPS point 'polygon' for UK coastline, how can I derive the direction I am facing if I look out to sea at point X?
So I have around 500K x,y points as a dataset. This is the coastline polygon of UK. If I select any point in that set and assume I am facing offshore, I need to create an algorithm which helps me derive the direction I am facing.
One of the simple…
Stew
- 11
0
votes
1 answer
Map Quaternion to Heading Pitch Roll using different axis
We use an orientation sensor that produces a quaternion output using NED convention.
I can convert the quaternion output to heading, pitch and roll using the following:
roll = atan(2.0 * (Qz * Qy + Qw * Qx) , 1.0 - 2.0 * (Qx * Qx + Qy * Qy));
pitch…