Math Is Fun Forum

model

Member

Registered: 2011-08-10

Posts: 142

Need help in understanding haar wavelet transformation

hy guys ,

I am trying to understand haar wavelet transform.

I have 3 images given below .

1. http://i1268.photobucket.com/albums/jj562/ridasana/2.jpg
2. http://i1268.photobucket.com/albums/jj562/ridasana/3.jpg
3. http://i1268.photobucket.com/albums/jj562/ridasana/1-1.jpg

My problem is i do't understand figure in 3rd link.
I did not understand that how did he consider values of B , V , H and D.
Could any one please help me to understand it. Thanks

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Bob

Administrator

Registered: 2010-06-20

Posts: 10,164

Re: Need help in understanding haar wavelet transformation

hi model,

I know nothing about the "haar wavelet transform" but the third screen is just matrix multiplication again, then written in an unusual way.

If you take the answer from AW4T and premultiply it by W4 you'll get another 4 x 4 matrix.

Split it into 4 2 x 2 matrices and that's what has been shown.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

model

Member

Registered: 2011-08-10

Posts: 142

Re: Need help in understanding haar wavelet transformation

Hy Bob:

Thanks .
Actually i need to understand it mathematically .
Check out this link: http://robotics.stanford.edu/~scohen/lect02/lect02.html#eq:dil-scaling-j

Hy Bob, I need your help to understand it mathematically .
I am not capturing sense of Haar wavelet basis in figure
Could you please help me thanks

Last edited by model (2012-06-11 06:40:46)

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benice

Member

Registered: 2010-06-10

Posts: 117

Website

Re: Need help in understanding haar wavelet transformation

I did not understand that how did he consider values of B , V , H and D.

Split W4 into two 2x4 block matrices P and Q.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,164

Re: Need help in understanding haar wavelet transformation

hi model

Hy Bob, I need your help to understand it mathematically .
I am not capturing sense of Haar wavelet basis in figure

I think this may be beyond me.  I haven't studied the topic before so I'm starting several steps behind you.  Here's a suggestion which may work if you want to try it.

You teach me what you do know.  This will help me, but also you, because it will clarify your thoughts.  When you get to the bit which you don't understand, maybe I will have taken in enough to help you through.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob