Remove unwanted pixel from an image

My image shows here.

The first one is the original image, and the second one is partial. What I want to do is to remove the pixels enclosed by red circle(red line is the mark, not in the original image). I tried to use morphology function but failed. I am new to image processing, and thanks for any replying.

Answer 1

[Akira Agata]

One simple way to do this type of task is morphological opening. Here is an example.

% Read and binarize your image
I = imread('yourImage.png');
BW = imbinarize(rgb2gray(I));

% Apply morphological opening to remove 1-pixel-width vertical line
se = strel('line',2,0);
BW2 = imopen(BW,se);

The result is as follows (left: original / right: after applying morphological opening)