Size of compressed image is larger than image .... How to solve this problem?

The following code works well, but the size of compressed image is larger than the image. Need some assistance....

%clearing all variableas and screen
clear all;
close all;
clc;

%Reading image
a=imread('encrypted.jpg');
figure,imshow(uint8(a))
%size of the image
[m,n]=size(a);
Totalcount=m*n;

%variables using to find the probability
cnt=1;
sigma=0;

%computing the cumulative probability.
for i=0:255;
    k=a==i;
    count(cnt)=sum(k(:))
    
    %pro array is having the probabilities
    pro(cnt)=count(cnt)/Totalcount;
    sigma=sigma+pro(cnt);
    cumpro(cnt)=sigma;
    cnt=cnt+1;
end;


%Symbols for an image
symbols = [0:255];

%Huffman code Dictionary
dict = huffmandict(symbols,pro);

%function which converts array to vector
vec_size = 1;
for p = 1:m
    for q = 1:n
        newvec(vec_size) = a(p,q);
        vec_size = vec_size+1;
    end
end

%Huffman Encodig
hcode = huffmanenco(newvec,dict);
%vector to array conversion
enco_row=sqrt(length(hcode));
enco_col=enco_row;

%variables using to convert vector 2 array
arr_row = 1;
arr_col = 1;
vec_si = 1;

for x = 1:m
    for y = 1:n
        back(x,y)=hcode(vec_si);
        arr_col = arr_col+1;
        vec_si = vec_si + 1;
    end
    arr_row = arr_row+1;
end
imwrite(back,'encoded5.jpg')


%end of the huffman coding

[KSSV]

Read about imresize.

Answer 1

[Image Analyst]

Yes, I think that may be possible. If the image has lots of areas with rapidly changing values and few areas where the are long runs of the same value, then that type of encoding may take more bytes than the original image. What happens if the image is just a uniform patch of color? What is the original file size, the final file size, and the actual image size in bytes once read in with imread (the full, uncompressed size)?

[rows, columns, numberOfColorChannels] = size(a)
d = dir('encrypted.jpg');
pixelCount = rows * columns
totalBytes = pixelCount * numberOfColorChannels
fprintf('The image on disk has %d bytes.\n', d.bytes);
fprintf('The uncompressed image in memory has %d pixels and %d bytes.\n', pixelCount, totalBytes);

Also, never do this:

[m,n]=size(a);
Totalcount=m*n;

because n is the number of columns multiplied by the number of color channels. Why?

Too much information about the size function | Steve on Image Processing

Do it like this instead

[rows, columns, numberOfColorChannels] = size(a);
pixelCount = rows * columns
totalBytes = pixelCount * numberOfColorChannels

and please don't use single letter variables names because it makes code look like an impenetrable alphabet soup of code that is difficult to maintain. Use descriptive variable names, like rgbImage instead if the badly named "a", rows instead of m, etc.

[Sohail Ahmed]

Thanks. It works fine....

Answer 2

[Jan]

If the original image was written with a low quality, the default Quality=75 of imwrite might increase the file size.