How to use setpixel for negative pixel value in c#? - c#

When I am doing to get image from pixel by doing this and got error as:
Additional information:value of "-13" isn't valid.
So please help me.
bmp.Setpixel(x,y,Color.FromArgb(100,-12,100,100);
What to do for negative pixel value as above?

You should do one of two things.
Option 1 is what you appear to be doing now, but with a limit
int clampedRed = Math.Max(0, red - average);
// Repeat for Blue, Green
bmp.SetPixel(x,y,Color.FromArgb(100, clampedRed, ...)
Better however would be to not use the average pixel values, as that is going to drive half your image into black. Probably better to "normalise" the image. That means you need to find the MIN and MAX for each channel in the image (or a quartile) and then scale all pixels.
int minRed = // Get min in image
int maxRed = // get max in image
int rangeRed = maxRed - minRed
float scaling = 255 / rangeRed;
foreach (pixel in image){
int normalisedRed = (int)((pixelRed - minRed) * scaling)
int clampedRed = Math.Max(0, Math.Min(255, normalisedRed));
// And then use that...
}

Related

How can I can the integer value (range 0-255) of a grayscale image pixel

Hi I want to get the integer values (0-255 range) of a gray scale image ....this code shows me the R,G,B values not one value..how can i get it?
Bitmap temp1 = image1;
for (int i = 0; i < temp1.Height; i++)
{
for (int j = 0; j < temp1.Width; j++)
{
Color cl = new Color();
cl = temp1.GetPixel(i, j);
}
}
just read the properties R or G or B, any of them will have the same value.
var intValue = cl.R;
If your source image is greyscale and you just want the level of greyness, just pick any of the three components. They will be equal.
If your source image is color but you want to get the grey equivalent, you can convert your color to a grey value in the range 0..255 by blending the red, green and blue color components together. The blending factors are different because the human eye has different sensitivity to the three primary colors. For fun, try varying the factors (e.g. use 0.3333 for each) and see what the result looks like.
Color cl = c.GetPixel(i, j); // No need to separately allocate a new Color()
int greyValue = (int)((cl.R * 0.3) + (cl.G * 0.59) + (cl.B * 0.11));
Color grey = Color.FromArgb(cl.A, greyValue, greyValue, greyValue);
Note that it is quite slow to loop through a larger Bitmap, using GetPixel() on each pixel. There are much faster techniques available.
UPDATE
Here's an example image with different scaling factors for R, G, and B applied. The image will always be greyscaled because the same numeric value is used for each RGB component in the modified image, but the relative lightness does change. The middle image uses scaling factors suitable for the human eye. Note how blue areas in the original image seem oversaturated in the rightmost version.
There are multiple ways to get grayscale from RGB.
A common way is to do (R+G+B)/3
Others are computing some luminance Luminance measure (Lab, YUV, HSV)

c# .NET green screen background remove

I am working on a photo software for desktop PC that works on Windows 8. I would like to be able to remove the green background from the photo by means of chroma keying.
I'm a beginner in image manipulation, i found some cool links ( like http://www.quasimondo.com/archives/000615.php ), but I can't transale it in c# code.
I'm using a webcam (with aforge.net) to see a preview and take a picture.
I tried color filters but the green background isn't really uniform, so this doesn't work.
How to do that properly in C#?
It will work, even if the background isn't uniform, you'll just need the proper strategy that is generous enough to grab all of your greenscreen without replacing anything else.
Since at least some links on your linked page are dead, I tried my own approach:
The basics are simple: Compare the image pixel's color with some reference value or apply some other formula to determine whether it should be transparent/replaced.
The most basic formula would involve something as simple as "determine whether green is the biggest value". While this would work with very basic scenes, it can screw you up (e.g. white or gray will be filtered as well).
I've toyed around a bit using some simple sample code. While I used Windows Forms, it should be portable without problems and I'm pretty sure you'll be able to interpret the code. Just note that this isn't necessarily the most performant way to do this.
Bitmap input = new Bitmap(#"G:\Greenbox.jpg");
Bitmap output = new Bitmap(input.Width, input.Height);
// Iterate over all piels from top to bottom...
for (int y = 0; y < output.Height; y++)
{
// ...and from left to right
for (int x = 0; x < output.Width; x++)
{
// Determine the pixel color
Color camColor = input.GetPixel(x, y);
// Every component (red, green, and blue) can have a value from 0 to 255, so determine the extremes
byte max = Math.Max(Math.Max(camColor.R, camColor.G), camColor.B);
byte min = Math.Min(Math.Min(camColor.R, camColor.G), camColor.B);
// Should the pixel be masked/replaced?
bool replace =
camColor.G != min // green is not the smallest value
&& (camColor.G == max // green is the biggest value
|| max - camColor.G < 8) // or at least almost the biggest value
&& (max - min) > 96; // minimum difference between smallest/biggest value (avoid grays)
if (replace)
camColor = Color.Magenta;
// Set the output pixel
output.SetPixel(x, y, camColor);
}
}
I've used an example image from Wikipedia and got the following result:
Just note that you might need different thresholds (8 and 96 in my code above), you might even want to use a different term to determine whether some pixel should be replaced. You can also add smoothening between frames, blending (where there's less green difference), etc. to reduce the hard edges as well.
I've tried Mario solution and it worked perfectly but it's a bit slow for me.
I looked for a different solution and I found a project that uses a more efficient method here.
Github postworthy GreenScreen
That project takes a folder and process all files, I just need an image so I did this:
private Bitmap RemoveBackground(Bitmap input)
{
Bitmap clone = new Bitmap(input.Width, input.Height, PixelFormat.Format32bppArgb);
{
using (input)
using (Graphics gr = Graphics.FromImage(clone))
{
gr.DrawImage(input, new Rectangle(0, 0, clone.Width, clone.Height));
}
var data = clone.LockBits(new Rectangle(0, 0, clone.Width, clone.Height), ImageLockMode.ReadWrite, clone.PixelFormat);
var bytes = Math.Abs(data.Stride) * clone.Height;
byte[] rgba = new byte[bytes];
System.Runtime.InteropServices.Marshal.Copy(data.Scan0, rgba, 0, bytes);
var pixels = Enumerable.Range(0, rgba.Length / 4).Select(x => new {
B = rgba[x * 4],
G = rgba[(x * 4) + 1],
R = rgba[(x * 4) + 2],
A = rgba[(x * 4) + 3],
MakeTransparent = new Action(() => rgba[(x * 4) + 3] = 0)
});
pixels
.AsParallel()
.ForAll(p =>
{
byte max = Math.Max(Math.Max(p.R, p.G), p.B);
byte min = Math.Min(Math.Min(p.R, p.G), p.B);
if (p.G != min && (p.G == max || max - p.G < 7) && (max - min) > 20)
p.MakeTransparent();
});
System.Runtime.InteropServices.Marshal.Copy(rgba, 0, data.Scan0, bytes);
clone.UnlockBits(data);
return clone;
}
}
Do not forget to dispose of your Input Bitmap and the return of this method.
If you need to save the image just use the Save instruction of Bitmap.
clone.Save(#"C:\your\folder\path", ImageFormat.Png);
Here you can find methods to process an image even faster.Fast Image Processing in C#
Chromakey on a photo should assume an analog input. In the real world, exact values are very rare.
How do you compensate for this? Provide a threshold around the green of your choice in both hue and tone. Any colour within this threshold (inclusive) should be replaced by your chosen background; transparent may be best. In the first link, the Mask In and Mask Out parameters achieve this. The pre and post blur parameters attempt to make the background more uniform to reduce encoding noise side effects so that you can use a narrower (preferred) threshold.
For performance, you may want to write a pixel shader to zap the 'green' to transparent but that is a consideration for after you get it working.

OpenCV: how to increase color channel

Within a RGB image (from a webcam) I'm looking for a way to increase the intensity/brightness of green. Glad if anyone can give a starting point.
I'm using AFORGE.NET in C# and/or OpenCV directly in C++.
in general multiplication of pixel values is though of as an increase in contrast and addition is though of as an increase in brightness.
in c#
where you have an array to the first pixel in the image such as this:
byte[] pixelsIn;
byte[] pixelsOut; //assuming RGB ordered data
and contrast and brightness values such as this:
float gC = 1.5;
float gB = 50;
you can multiply and/or add to the green channel to achieve your desired effect: (r - row, c - column, ch - nr of channels)
pixelsOut[r*w*ch + c*ch] = pixelsIn[r*w*ch + c*ch] //red
int newGreen = (int)(pixelsIn[r*w*ch + c*ch+1] * gC + gB); //green
pixelsOut[r*w*ch + c*ch+1] = (byte)(newGreen > 255 ? 255 : newGreen < 0 ? 0 : newGreen); //check for overflow
pixelsOut[r*w*ch + c*ch+2] = pixelsIn[r*w*ch + c*ch+2]//blue
obviously you would want to use pointers here to speed things up.
(Please note: this code has NOT BEEN TESTED)
For AFORGE.NET, I suggest use ColorRemapping class to map the values in your green channel to other value. The mapping function should be a concave function from [0,255] to [0,255] if your want to increase the brightness without losing details.
This is what I came up with after reading through many pages of AForge.NET and OpenCV documentation. If you apply the saturation filter first, you might get a dizzy image. If you apply it later you will get a much clearer image but some "light green" pixels might have been lost before while applying the HSV filter.
// apply saturation filter to increase green intensity
var f1 = new SaturationCorrection(0.5f);
f1.ApplyInPlace(image);
var filter = new HSLFiltering();
filter.Hue = new IntRange(83, 189); // all green (large range)
//filter.Hue = new IntRange(100, 120); // light green (small range)
// this will convert all pixels outside the range into gray-scale
//filter.UpdateHue = false;
//filter.UpdateLuminance = false;
// this will convert all pixels outside that range blank (filter.FillColor)
filter.Saturation = new Range(0.4f, 1);
filter.Luminance = new Range(0.4f, 1);
// apply the HSV filter to get only green pixels
filter.ApplyInPlace(image);

Is there an efficient algorithm for segmentation of handwritten text?

I want to automatically divide an image of ancient handwritten text by lines (and by words in future).
The first obvious part is preprocessing the image...
I'm just using a simple digitization (based on brightness of pixel). After that I store data into two-dimensional array.
The next obvious part is analyzing the binary array.
My first algorithm was pretty simple - if there are more black pixels in a row of the array than the root-mean-square of Maximum and Minimum value, then this row is part of line.
After forming the list of lines I cut off lines with height that is less than average.
Finally it turned out into some kind of linear regression, trying to minimize the difference between the blank rows and text rows. (I assumed that fact)
My second attempt - I tried to use GA with several fitness functions.
The chromosome contained 3 values - xo, x1, x2. xo [-1;0] x1 [0;0.5] x2 [0;0.5]
Function, that determines identity the row to line is (xo + α1 x1 + α2 x2) > 0, where α1 is scaled sum of black pixels in row, α2 is median value of ranges between the extreme black pixels in row. (a1,a2 [0,1])
Another functions, that I tried is (x1 < α1 OR x2 > α2) and (1/xo + [a1 x1] / [a2 x2] ) > 0
The last function is the most efficient.
The fitness function is
(1 / (HeigthRange + SpacesRange)
Where range is difference between maximum and minimum. It represents the homogeneity of text. The global optimum of this function - the most smooth way to divide the image into lines.
I am using C# with my self-coded GA (classical, with 2-point crossover, gray-code chromosomes, maximum population is 40, mutation rate is 0.05)
Now I ran out of ideas how to divide this image into lines with ~100% accuracy.
What is the efficient algorithm to do this?
UPDATE:
Original BMP (1.3 MB)
UPDATE2:
Improved results on this text to 100%
How I did it:
fixed minor bug in range count
changed fitness function to 1/(distancesRange+1)*(heightsRange+1))
minimized classifying function to (1/xo + x2/range) > 0 (points in row now don't affect classification)
(i.e. optimized input data and made fitness function optimizations more explicit)
Problem:
GA surprisingly failed to recognize this line. I looked at debug data of 'find rages' function and found, that there is too much noise in 'unrecognized' place.
The function code is below:
public double[] Ranges()
{
var ranges = new double[_original.Height];
for (int y = 0; y < _original.Height; y++ )
{
ranges[y] = 0;
var dx = new List<int>();
int last = 0;
int x = 0;
while (last == 0 && x<_original.Width)
{
if (_bit[x, y])
last = x;
x++;
}
if (last == 0)
{
ranges[y] = 0;
continue;
}
for (x = last; x<_original.Width; x++)
{
if (!_bit[x, y]) continue;
if (last != x - 1)
{
dx.Add((x-last)+1);
}
last = x;
}
if (dx.Count > 2)
{
dx.Sort();
ranges[y] = dx[dx.Count / 2];
//ranges[y] = dx.Average();
}
else
ranges[y] = 0;
}
var maximum = ranges.Max();
for (int i = 0; i < ranges.Length; i++)
{
if (Math.Abs(ranges[i] - 0) < 0.9)
ranges[i] = maximum;
}
return ranges;
}
I'm using some hacks in this code. The main reason - I want to minimize the range between nearest black pixels, but if there are no pixels, the value becomes '0', and it becomes impossible to solve this problem with finding optimas. The second reason - this code is changing too frequently.
I'll try to fully change this code, but I have no idea how to do it.
Q:
If there is more efficient fitness function?
How to find more versatile determination function?
Although I'm not sure how to translate the following algorithm into GA (and I'm not sure why you need to use GA for this problem), and I could be off base in proposing it, here goes.
The simple technique I would propose is to count the number of black pixels per row. (Actually it's the dark pixel density per row.) This requires very few operations, and with a few additional calculations it's not difficult to find peaks in the pixel-sum histogram.
A raw histogram will look something like this, where the profile along the left side shows the number of dark pixels in a row. For visibility, the actual count is normalized to stretch out to x = 200.
After some additional, simple processing is added (described below), we can generate a histogram like this that can be clipped at some threshold value. What remains are peaks indicating the center of lines of text.
From there it's a simple matter to find the lines: just clip (threshold) the histogram at some value such as 1/2 or 2/3 the maximum, and optionally check that the width of the peak at your clipping threshold is some minimum value w.
One implementation of the full (yet still simple!) algorithm to find the nicer histogram is as follows:
Binarize the image using a "moving average" threshold or similar local thresholding technique in case a standard Otsu threshold operating on pixels near edges isn't satisfactory. Or, if you have a nice black-on-white image, just use 128 as your binarization threshold.
Create an array to store your histogram. This array's length will be the height of the image.
For each pixel (x,y) in the binarized image, find the number of dark pixels above and below (x,y) at some radius R. That is, count the number of dark pixels from (x, y - R) to x (y + R), inclusive.
If the number of dark pixels within a vertical radius R is equal or greater to R--that is, at least half the pixels are dark--then pixel (x,y) has sufficient vertical dark neighbors. Increment your bin count for row y.
As you march along each row, track the leftmost and rightmost x-values for pixels with sufficient neighbors. As long as the width (right - left + 1) exceeds some minimum value, divide the total count of dark pixels by this width. This normalizes the count to ensure the short lines like the very last line of text are included.
(Optional) Smooth the resulting histogram. I just used the mean over 3 rows.
The "vertical count" (step 3) eliminates horizontal strokes that happen to be located above or below the center line of text. A more sophisticated algorithm would just check directly above and below (x,y), but also to the upper left, upper right, lower left, and lower right.
With my rather crude implementation in C# I was able to process the image in less than 75 milliseconds. In C++, and with some basic optimization, I've little doubt the time could be cut down considerably.
This histogram method assumes the text is horizontal. Since the algorithm is reasonably fast, you may have enough time to calculate pixel count histograms at increments of every 5 degrees from the horizontal. The scan orientation with the greatest peak/valley differences would indicate the rotation.
I'm not familiar with GA terminology, but if what I've suggested is of some value I'm sure you can translate it into GA terms. In any case, I was interested in this problem anyway, so I might as well share.
EDIT: maybe for use GA, it's better to think in terms of "distance since previous dark pixel in X" (or along angle theta) and "distance since previous dark pixel in Y" (or along angle [theta - pi/2]). You might also check distance from white pixel to dark pixel in all radial directions (to find loops).
byte[,] arr = get2DArrayFromBitamp(); //source array from originalBitmap
int w = arr.GetLength(0); //width of 2D array
int h = arr.GetLength(1); //height of 2D array
//we can use a second 2D array of dark pixels that belong to vertical strokes
byte[,] bytes = new byte[w, h]; //dark pixels in vertical strokes
//initial morph
int r = 4; //radius to check for dark pixels
int count = 0; //number of dark pixels within radius
//fill the bytes[,] array only with pixels belonging to vertical strokes
for (int x = 0; x < w; x++)
{
//for the first r rows, just set pixels to white
for (int y = 0; y < r; y++)
{
bytes[x, y] = 255;
}
//assume pixels of value < 128 are dark pixels in text
for (int y = r; y < h - r - 1; y++)
{
count = 0;
//count the dark pixels above and below (x,y)
//total range of check is 2r, from -r to +r
for (int j = -r; j <= r; j++)
{
if (arr[x, y + j] < 128) count++;
}
//if half the pixels are dark, [x,y] is part of vertical stroke
bytes[x, y] = count >= r ? (byte)0 : (byte)255;
}
//for the last r rows, just set pixels to white
for (int y = h - r - 1; y < h; y++)
{
bytes[x, y] = 255;
}
}
//count the number of valid dark pixels in each row
float max = 0;
float[] bins = new float[h]; //normalized "dark pixel strength" for all h rows
int left, right, width; //leftmost and rightmost dark pixels in row
bool dark = false; //tracking variable
for (int y = 0; y < h; y++)
{
//initialize values at beginning of loop iteration
left = 0;
right = 0;
width = 100;
for (int x = 0; x < w; x++)
{
//use value of 128 as threshold between light and dark
dark = bytes[x, y] < 128;
//increment bin if pixel is dark
bins[y] += dark ? 1 : 0;
//update leftmost and rightmost dark pixels
if (dark)
{
if (left == 0) left = x;
if (x > right) right = x;
}
}
width = right - left + 1;
//for bins with few pixels, treat them as empty
if (bins[y] < 10) bins[y] = 0;
//normalize value according to width
//divide bin count by width (leftmost to rightmost)
bins[y] /= width;
//calculate the maximum bin value so that bins can be scaled when drawn
if (bins[y] > max) max = bins[y];
}
//calculated the smoothed value of each bin i by averaging bin i-1, i, and i+1
float[] smooth = new float[bins.Length];
smooth[0] = bins[0];
smooth[smooth.Length - 1] = bins[bins.Length - 1];
for (int i = 1; i < bins.Length - 1; i++)
{
smooth[i] = (bins[i - 1] + bins[i] + bins[i + 1])/3;
}
//create a new bitmap based on the original bitmap, then draw bins on top
Bitmap bmp = new Bitmap(originalBitmap);
using (Graphics gr = Graphics.FromImage(bmp))
{
for (int y = 0; y < bins.Length; y++)
{
//scale each bin so that it is drawn 200 pixels wide from the left edge
float value = 200 * (float)smooth[y] / max;
gr.DrawLine(Pens.Red, new PointF(0, y), new PointF(value, y));
}
}
pictureBox1.Image = bmp;
After fiddling around this for a while I found that I simply need to count the number of crossings for each line, that is, a switch from white to black would count as one, and a switch from black to white would increment by one again. By highlighting each line with a count > 66 I got close to 100% accuracy, except for the bottom most line.
Of course, would not be robust to slightly rotated scanned documents. And there is this disadvantage of needing to determine the correct threshold.
IMHO with the image shown that would be so hard to do 100% perfectly.
My answer is to give you alternate idea's.
Idea 1:
Make your own version of ReCaptcha (to put on your very own pron site) - and make it a fun game.. "Like cut out a word (edges should all be white space - with some tolerance for overlapping chars on above and below lines)."
Idea 2:
This was a game we played as kids, the wire of a coat hanger was all bent in waves and connected to a buzzer and you had to navigate a wand with a ring in the end with the wire through it, across one side to the other without making the buzzer go off. Perhaps you could adapt this idea and make a mobile game where people trace out the lines without touching black text (with tolerance for overlapping chars)... when they can do a line they get points and get to new levels where you give them harder images..
Idea 3:
Research how google/recaptcha got around it
Idea 4:
Get the SDK for photoshop and master the functionality of it Extract Edges tool
Idea 5:
Stretch the image heaps on the Y Axis which should help, apply the algorithm, then reduce the location measurements and apply them on the normal sized image.

Efficient ways to determine tilt of an image

I'm trying to write a program to programmatically determine the tilt or angle of rotation in an arbitrary image.
Images have the following properties:
Consist of dark text on a light background
Occasionally contain horizontal or vertical lines which only intersect at 90 degree angles.
Skewed between -45 and 45 degrees.
See this image as a reference (its been skewed 2.8 degrees).
So far, I've come up with this strategy: Draw a route from left to right, always selecting the nearest white pixel. Presumably, the route from left to right will prefer to follow the path between lines of text along the tilt of the image.
Here's my code:
private bool IsWhite(Color c) { return c.GetBrightness() >= 0.5 || c == Color.Transparent; }
private bool IsBlack(Color c) { return !IsWhite(c); }
private double ToDegrees(decimal slope) { return (180.0 / Math.PI) * Math.Atan(Convert.ToDouble(slope)); }
private void GetSkew(Bitmap image, out double minSkew, out double maxSkew)
{
decimal minSlope = 0.0M;
decimal maxSlope = 0.0M;
for (int start_y = 0; start_y < image.Height; start_y++)
{
int end_y = start_y;
for (int x = 1; x < image.Width; x++)
{
int above_y = Math.Max(end_y - 1, 0);
int below_y = Math.Min(end_y + 1, image.Height - 1);
Color center = image.GetPixel(x, end_y);
Color above = image.GetPixel(x, above_y);
Color below = image.GetPixel(x, below_y);
if (IsWhite(center)) { /* no change to end_y */ }
else if (IsWhite(above) && IsBlack(below)) { end_y = above_y; }
else if (IsBlack(above) && IsWhite(below)) { end_y = below_y; }
}
decimal slope = (Convert.ToDecimal(start_y) - Convert.ToDecimal(end_y)) / Convert.ToDecimal(image.Width);
minSlope = Math.Min(minSlope, slope);
maxSlope = Math.Max(maxSlope, slope);
}
minSkew = ToDegrees(minSlope);
maxSkew = ToDegrees(maxSlope);
}
This works well on some images, not so well on others, and its slow.
Is there a more efficient, more reliable way to determine the tilt of an image?
I've made some modifications to my code, and it certainly runs a lot faster, but its not very accurate.
I've made the following improvements:
Using Vinko's suggestion, I avoid GetPixel in favor of working with bytes directly, now the code runs at the speed I needed.
My original code simply used "IsBlack" and "IsWhite", but this isn't granular enough. The original code traces the following paths through the image:
http://img43.imageshack.us/img43/1545/tilted3degtextoriginalw.gif
Note that a number of paths pass through the text. By comparing my center, above, and below paths to the actual brightness value and selecting the brightest pixel. Basically I'm treating the bitmap as a heightmap, and the path from left to right follows the contours of the image, resulting a better path:
http://img10.imageshack.us/img10/5807/tilted3degtextbrightnes.gif
As suggested by Toaomalkster, a Gaussian blur smooths out the height map, I get even better results:
http://img197.imageshack.us/img197/742/tilted3degtextblurredwi.gif
Since this is just prototype code, I blurred the image using GIMP, I did not write my own blur function.
The selected path is pretty good for a greedy algorithm.
As Toaomalkster suggested, choosing the min/max slope is naive. A simple linear regression provides a better approximation of the slope of a path. Additionally, I should cut a path short once I run off the edge of the image, otherwise the path will hug the top of the image and give an incorrect slope.
Code
private double ToDegrees(double slope) { return (180.0 / Math.PI) * Math.Atan(slope); }
private double GetSkew(Bitmap image)
{
BrightnessWrapper wrapper = new BrightnessWrapper(image);
LinkedList<double> slopes = new LinkedList<double>();
for (int y = 0; y < wrapper.Height; y++)
{
int endY = y;
long sumOfX = 0;
long sumOfY = y;
long sumOfXY = 0;
long sumOfXX = 0;
int itemsInSet = 1;
for (int x = 1; x < wrapper.Width; x++)
{
int aboveY = endY - 1;
int belowY = endY + 1;
if (aboveY < 0 || belowY >= wrapper.Height)
{
break;
}
int center = wrapper.GetBrightness(x, endY);
int above = wrapper.GetBrightness(x, aboveY);
int below = wrapper.GetBrightness(x, belowY);
if (center >= above && center >= below) { /* no change to endY */ }
else if (above >= center && above >= below) { endY = aboveY; }
else if (below >= center && below >= above) { endY = belowY; }
itemsInSet++;
sumOfX += x;
sumOfY += endY;
sumOfXX += (x * x);
sumOfXY += (x * endY);
}
// least squares slope = (NΣ(XY) - (ΣX)(ΣY)) / (NΣ(X^2) - (ΣX)^2), where N = elements in set
if (itemsInSet > image.Width / 2) // path covers at least half of the image
{
decimal sumOfX_d = Convert.ToDecimal(sumOfX);
decimal sumOfY_d = Convert.ToDecimal(sumOfY);
decimal sumOfXY_d = Convert.ToDecimal(sumOfXY);
decimal sumOfXX_d = Convert.ToDecimal(sumOfXX);
decimal itemsInSet_d = Convert.ToDecimal(itemsInSet);
decimal slope =
((itemsInSet_d * sumOfXY) - (sumOfX_d * sumOfY_d))
/
((itemsInSet_d * sumOfXX_d) - (sumOfX_d * sumOfX_d));
slopes.AddLast(Convert.ToDouble(slope));
}
}
double mean = slopes.Average();
double sumOfSquares = slopes.Sum(d => Math.Pow(d - mean, 2));
double stddev = Math.Sqrt(sumOfSquares / (slopes.Count - 1));
// select items within 1 standard deviation of the mean
var testSample = slopes.Where(x => Math.Abs(x - mean) <= stddev);
return ToDegrees(testSample.Average());
}
class BrightnessWrapper
{
byte[] rgbValues;
int stride;
public int Height { get; private set; }
public int Width { get; private set; }
public BrightnessWrapper(Bitmap bmp)
{
Rectangle rect = new Rectangle(0, 0, bmp.Width, bmp.Height);
System.Drawing.Imaging.BitmapData bmpData =
bmp.LockBits(rect,
System.Drawing.Imaging.ImageLockMode.ReadOnly,
bmp.PixelFormat);
IntPtr ptr = bmpData.Scan0;
int bytes = bmpData.Stride * bmp.Height;
this.rgbValues = new byte[bytes];
System.Runtime.InteropServices.Marshal.Copy(ptr,
rgbValues, 0, bytes);
this.Height = bmp.Height;
this.Width = bmp.Width;
this.stride = bmpData.Stride;
}
public int GetBrightness(int x, int y)
{
int position = (y * this.stride) + (x * 3);
int b = rgbValues[position];
int g = rgbValues[position + 1];
int r = rgbValues[position + 2];
return (r + r + b + g + g + g) / 6;
}
}
The code is good, but not great. Large amounts of whitespace cause the program to draw relatively flat line, resulting in a slope near 0, causing the code to underestimate the actual tilt of the image.
There is no appreciable difference in the accuracy of the tilt by selecting random sample points vs sampling all points, because the ratio of "flat" paths selected by random sampling is the same as the ratio of "flat" paths in the entire image.
GetPixel is slow. You can get an order of magnitude speed up using the approach listed here.
If text is left (right) aligned you can determine the slope by measuring the distance between the left (right) edge of the image and the first dark pixel in two random places and calculate the slope from that. Additional measurements would lower the error while taking additional time.
First I must say I like the idea. But I've never had to do this before and I'm not sure what all to suggest to improve reliability. The first thing I can think of this is this idea of throwing out statistical anomalies. If the slope suddenly changes sharply then you know you've found a white section of the image that dips into the edge skewing (no pun intended) your results. So you'd want to throw that stuff out somehow.
But from a performance standpoint there are a number of optimizations you could make which may add up.
Namely, I'd change this snippet from your inner loop from this:
Color center = image.GetPixel(x, end_y);
Color above = image.GetPixel(x, above_y);
Color below = image.GetPixel(x, below_y);
if (IsWhite(center)) { /* no change to end_y */ }
else if (IsWhite(above) && IsBlack(below)) { end_y = above_y; }
else if (IsBlack(above) && IsWhite(below)) { end_y = below_y; }
To this:
Color center = image.GetPixel(x, end_y);
if (IsWhite(center)) { /* no change to end_y */ }
else
{
Color above = image.GetPixel(x, above_y);
Color below = image.GetPixel(x, below_y);
if (IsWhite(above) && IsBlack(below)) { end_y = above_y; }
else if (IsBlack(above) && IsWhite(below)) { end_y = below_y; }
}
It's the same effect but should drastically reduce the number of calls to GetPixel.
Also consider putting the values that don't change into variables before the madness begins. Things like image.Height and image.Width have a slight overhead every time you call them. So store those values in your own variables before the loops begin. The thing I always tell myself when dealing with nested loops is to optimize everything inside the most inner loop at the expense of everything else.
Also... as Vinko Vrsalovic suggested, you may look at his GetPixel alternative for yet another boost in speed.
At first glance, your code looks overly naive.
Which explains why it doesn't always work.
I like the approach Steve Wortham suggested,
but it might run into problems if you have background images.
Another approach that often helps with images is to blur them first.
If you blur your example image enough, each line of text will end up
as a blurry smooth line. You then apply some sort of algorithm to
basically do a regression analisys. There's lots of ways to do
that, and lots of examples on the net.
Edge detection might be useful, or it might cause more problems that its worth.
By the way, a gaussian blur can be implemented very efficiently if you search hard enough for the code. Otherwise, I'm sure there's lots of libraries available.
Haven't done much of that lately so don't have any links on hand.
But a search for Image Processing library will get you good results.
I'm assuming you're enjoying the fun of solving this, so not much in actual implementation detalis here.
Measuring the angle of every line seems like overkill, especially given the performance of GetPixel.
I wonder if you would have better performance luck by looking for a white triangle in the upper-left or upper-right corner (depending on the slant direction) and measuring the angle of the hypotenuse. All text should follow the same angle on the page, and the upper-left corner of a page won't get tricked by the descenders or whitespace of content above it.
Another tip to consider: rather than blurring, work within a greatly-reduced resolution. That will give you both the smoother data you need, and fewer GetPixel calls.
For example, I made a blank page detection routine once in .NET for faxed TIFF files that simply resampled the entire page to a single pixel and tested the value for a threshold value of white.
What are your constraints in terms of time?
The Hough transform is a very effective mechanism for determining the skew angle of an image. It can be costly in time, but if you're going to use Gaussian blur, you're already burning a pile of CPU time. There are also other ways to accelerate the Hough transform that involve creative image sampling.
Your latest output is confusing me a little.
When you superimposed the blue lines on the source image, did you offset it a bit? It looks like the blue lines are about 5 pixels above the centre of the text.
Not sure about that offset, but you definitely have a problem with the derived line "drifting" away at the wrong angle. It seems to have too strong a bias towards producing a horizontal line.
I wonder if increasing your mask window from 3 pixels (centre, one above, one below) to 5 might improve this (two above, two below). You'll also get this effect if you follow richardtallent's suggestion and resample the image smaller.
Very cool path finding application.
I wonder if this other approach would help or hurt with your particular data set.
Assume a black and white image:
Project all black pixels to the right (EAST). This should give a result of a one dimensional array with a size of IMAGE_HEIGHT. Call the array CANVAS.
As you project all the pixels EAST, keep track numerically of how many pixels project into each bin of CANVAS.
Rotate the image an arbitrary number of degrees and re-project.
Pick the result that gives the highest peaks and lowest valleys for values in CANVAS.
I imagine this will not work well if in fact you have to account for a real -45 -> +45 degrees of tilt. If the actual number is smaller(?+/- 10 degrees), this might be a pretty good strategy. Once you have an intial result, you could consider re-running with a smaller increment of degrees to fine tune the answer. I might therefore try to write this with a function that accepted a float degree_tick as a parm so I could run both a coarse and fine pass (or a spectrum of coarseness or fineness) with the same code.
This might be computationally expensive. To optimize, you might consider selecting just a portion of the image to project-test-rotate-repeat on.

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