suppose i have an image in which there are some letters.based on those letters of the image i want to show the vertical projections of histogram of the given image in an a
First of all, you are not looking for a "vertical histogram", but rather a bar plot of vertical sum.
Here's a simplified example.
Consider this input image
You can read and threshold it
img = imread('http://i.stack.imgur.com/3YonG.png')
bw = img(:,:,1)<128; %// convert to binary, text = 1
Now you can inspect the vertical sum
sc = sum(bw,1); %// sum columns
figure;bar(sc);
As you can see if there are more than ~2 pixels set in a column - this is probably a letter. We can use this threshold
rm = sc > 2;
cs = cumsum(~rm).*rm; %// assign unique value to each "letter" columns
mask = bsxfun(@times, bw, cs ); %// seperate the letters in the mask
Resulting with