Orthogonal Procrustes problem
Okay, kiddo! So imagine you have two shapes, like two puzzles pieces, and you want to see if they match up exactly. That's what the Orthogonal Procrustes Problem tries to do - match up two shapes so they fit together perfectly.
To start, we line up the two shapes as well as we can, but they might not be a perfect match yet. So, we want to move them around a little bit to get them to fit better. We want to rotate them, resize them and move them so they overlap as much as possible.
Now, we use some special fancy math to figure out the best way to do this. We call this math the orthogonal Procrustes problem. It helps us move and resize the shapes until they match up as closely as possible.
Once we’ve done this, we’ll know how much we need to rotate, scale and shift one of the shapes to make it perfectly match the other shape. This can be really useful for all kinds of things like comparing different shapes and analyzing data.
In simple words, the Orthogonal Procrustes Problem is like putting two puzzle pieces together and making sure they fit perfectly by moving and resizing them with the help of some special math.
To start, we line up the two shapes as well as we can, but they might not be a perfect match yet. So, we want to move them around a little bit to get them to fit better. We want to rotate them, resize them and move them so they overlap as much as possible.
Now, we use some special fancy math to figure out the best way to do this. We call this math the orthogonal Procrustes problem. It helps us move and resize the shapes until they match up as closely as possible.
Once we’ve done this, we’ll know how much we need to rotate, scale and shift one of the shapes to make it perfectly match the other shape. This can be really useful for all kinds of things like comparing different shapes and analyzing data.
In simple words, the Orthogonal Procrustes Problem is like putting two puzzle pieces together and making sure they fit perfectly by moving and resizing them with the help of some special math.