how to generate a polynomial

i have two matrix one is

s=[2 3
   4 5]

other is

 text = [3 5 6 7 
         3 4 5 6]

based on my threshold value i should form a polynomial

say for exam threshold is 2 my polynomial should be

P= s(1,1)*x^0 + text(1,1)*x^1

if threshold is 3 my polynomial should be

P= s(1,1)*x^0 + text(1,1)*x^1 + text(1,2)*x^2 i have to process for every

digit like this .... value from should be taken once but from text van be any

number of times based on threshold...

Thanks in advance ..i am not able to trace it out please help

[Azzi Abdelmalek]

is it always s(1,1)?

[Matt Fig]

Yes, what is the general pattern? Are the other elements of S never used?

[Sharen H]

its like s(i,j) and the polynomial is generated for every pixel ie p(i,j)

finally i should have a polynomial for every s pixel

[Walter Roberson]

Your "text" is a matrix. When is the second row of the matrix used?

[Matt Fig]

Yet still you don't reveal the general pattern....

P(m,n) = _________________________  
(for m = 1:size(s,1) and n = 1:size(s,2)  ????)

Fill in the blank and clarify the ranges.

[Sharen H]

okok i am not knowing how to explain please

i have a secret matrix s= [2 1 ; 3 4]

similarly a text matrix t=[2 3 4 ; 5 6 7,5 6 7] it can be any size

i have to combine this and generate a polynomial p which should have the same size of s

polynomial chooses values based on the threshold if threshold is 3 one value from s and others from text always only one from s matrix

ie p=

     [s(1,1)+t(1,1)*x^1+t(1,2)*x^2         s(1,2)+t(1,3)*x^1+t(2,1)*x^2 

      [s(2,1)+t(2,2)*x^1+t(2,3)*x^2    s(2,2)+t(3,1)*x^1+t(3,2)*x^2 ]

when i substitute for x it becomes a matrix p. the remaining values of text can be left without

 processing

am i clear thanks a lot for helping

[Sharen H]

Degree of the polynomial should be threshold-1

[Azzi Abdelmalek]

It's still not clear for me, what does that mean

 s(1,2)+t(1,3)*x^1+t(2,1)*x^2

[Sharen H]

first digit of the polynomial is from the s matrix and other two digits from text matrix

[Azzi Abdelmalek]

for s it's clear, how are using t?

[Sharen H]

if threshold is 3 for s(1,1) i take first two values from t, then for s(1,2) the next two values from t matrix it goes like that ..

if threshold is 4 i have to take 3 values from t matrix

[Walter Roberson]

So if your threshold is N, you take N-1 consecutive entries from t, proceeding along columns, and "wrapping" along to the next row ?

[Sharen H]

yes

[Azzi Abdelmalek]

Then why t(2,1) is repeated?

[Walter Roberson]

In Sharen's comment http://www.mathworks.co.uk/matlabcentral/answers/54693-how-to-generate-a-polynomial#comment_113211, t(2,1) appears only once.

Answer 1

[Azzi Abdelmalek]

s=[2 3 ;4 5] 
text = [2 3 4; 5 6 7; 4 5 6]
t=text.'
t=t(:)
th=3;
x=11
[n,m]=size(s)
c=1:th-1;
idx1=1;
idx2=th-1;
for k=1:n
  for l=1:m
      t1=t(idx1:idx2).'   
      P(k,l)=s(k,l)+sum(t1.*x.^c)
      idx1=idx1+th-1
      idx2=idx2+th-1
  end
end

[Walter Roberson]

Minor correction: use .' instead of ' as in theory t could contain complex numbers.

[Azzi Abdelmalek]

Ok Walter, It's done

[Sharen H]

thanks a lot ....It works perfectly

Answer 2

[Azzi Abdelmalek]

s=[2 3 ;4 5] 
text = [3 5 6 7 3 4 5 6]
threshold=4;
x=11
c=1:threshold-1
P=s(1,1)+sum(text(c).*x.^c)

[Sharen H]

the value of text should be incremented for s(1,2)

[Azzi Abdelmalek]

If threshold=3 what should be the result?

Answer 3

[Matt Fig]

Sharen, please fill in the blank and define the ranges:

P(m,n) = _________________________  
(for m = 1:size(s,1) and n = 1:size(s,2))   <---- correct??