--- /dev/null
+module ParasitemiaCore.Edges
+
+open System
+open System.Drawing
+open System.Collections.Generic
+
+open Emgu.CV
+open Emgu.CV.Structure
+
+open Const
+open Histogram
+open Otsu
+
+/// <summary>
+/// Find edges of an image by using the Canny approach.
+/// The thresholds are automatically defined with otsu on gradient magnitudes.
+/// </summary>
+/// <param name="img"></param>
+let find (img: Image<Gray, float32>) : Matrix<byte> * Matrix<float32> * Matrix<float32> =
+ let w = img.Width
+ let h = img.Height
+
+ use sobelKernel =
+ new Matrix<float32>(array2D [[ 1.0f; 0.0f; -1.0f ]
+ [ 2.0f; 0.0f; -2.0f ]
+ [ 1.0f; 0.0f; -1.0f ]])
+
+ let xGradient = new Matrix<float32>(img.Size)
+ let yGradient = new Matrix<float32>(img.Size)
+ CvInvoke.Filter2D(img, xGradient, sobelKernel, Point(1, 1))
+ CvInvoke.Filter2D(img, yGradient, sobelKernel.Transpose(), Point(1, 1))
+
+ use magnitudes = new Matrix<float32>(xGradient.Size)
+ use angles = new Matrix<float32>(xGradient.Size)
+ CvInvoke.CartToPolar(xGradient, yGradient, magnitudes, angles) // Compute the magnitudes and angles.
+
+ let thresholdHigh, thresholdLow =
+ let sensibilityHigh = 0.1f
+ let sensibilityLow = 0.0f
+ let threshold, _, _ = otsu (histogramMat magnitudes 300)
+ threshold + (sensibilityHigh * threshold), threshold - (sensibilityLow * threshold)
+
+ // Non-maximum suppression.
+ use nms = new Matrix<byte>(xGradient.Size)
+
+ let nmsData = nms.Data
+ let anglesData = angles.Data
+ let magnitudesData = magnitudes.Data
+ let xGradientData = xGradient.Data
+ let yGradientData = yGradient.Data
+
+ for i in 0 .. h - 1 do
+ nmsData.[i, 0] <- 0uy
+ nmsData.[i, w - 1] <- 0uy
+
+ for j in 0 .. w - 1 do
+ nmsData.[0, j] <- 0uy
+ nmsData.[h - 1, j] <- 0uy
+
+ for i in 1 .. h - 2 do
+ for j in 1 .. w - 2 do
+ let vx = xGradientData.[i, j]
+ let vy = yGradientData.[i, j]
+ if vx <> 0.f || vy <> 0.f
+ then
+ let angle = anglesData.[i, j]
+
+ let vx', vy' = abs vx, abs vy
+ let ratio2 = if vx' > vy' then vy' / vx' else vx' / vy'
+ let ratio1 = 1.f - ratio2
+
+ let mNeigbors (sign: int) : float32 =
+ if angle < PI / 4.f
+ then ratio1 * magnitudesData.[i, j + sign] + ratio2 * magnitudesData.[i + sign, j + sign]
+ elif angle < PI / 2.f
+ then ratio2 * magnitudesData.[i + sign, j + sign] + ratio1 * magnitudesData.[i + sign, j]
+ elif angle < 3.f * PI / 4.f
+ then ratio1 * magnitudesData.[i + sign, j] + ratio2 * magnitudesData.[i + sign, j - sign]
+ elif angle < PI
+ then ratio2 * magnitudesData.[i + sign, j - sign] + ratio1 * magnitudesData.[i, j - sign]
+ elif angle < 5.f * PI / 4.f
+ then ratio1 * magnitudesData.[i, j - sign] + ratio2 * magnitudesData.[i - sign, j - sign]
+ elif angle < 3.f * PI / 2.f
+ then ratio2 * magnitudesData.[i - sign, j - sign] + ratio1 * magnitudesData.[i - sign, j]
+ elif angle < 7.f * PI / 4.f
+ then ratio1 * magnitudesData.[i - sign, j] + ratio2 * magnitudesData.[i - sign, j + sign]
+ else ratio2 * magnitudesData.[i - sign, j + sign] + ratio1 * magnitudesData.[i, j + sign]
+
+ let m = magnitudesData.[i, j]
+ if m >= thresholdLow && m > mNeigbors 1 && m > mNeigbors -1
+ then
+ nmsData.[i, j] <- 1uy
+
+ // suppressMConnections nms // It's not helpful for the rest of the process (ellipse detection).
+
+ let edges = new Matrix<byte>(xGradient.Size)
+ let edgesData = edges.Data
+
+ // Hysteresis thresholding.
+ let toVisit = Stack<Point>()
+ for i in 0 .. h - 1 do
+ for j in 0 .. w - 1 do
+ if nmsData.[i, j] = 1uy && magnitudesData.[i, j] >= thresholdHigh
+ then
+ nmsData.[i, j] <- 0uy
+ toVisit.Push(Point(j, i))
+ while toVisit.Count > 0 do
+ let p = toVisit.Pop()
+ edgesData.[p.Y, p.X] <- 1uy
+ for i' in -1 .. 1 do
+ for j' in -1 .. 1 do
+ if i' <> 0 || j' <> 0
+ then
+ let ni = p.Y + i'
+ let nj = p.X + j'
+ if ni >= 0 && ni < h && nj >= 0 && nj < w && nmsData.[ni, nj] = 1uy
+ then
+ nmsData.[ni, nj] <- 0uy
+ toVisit.Push(Point(nj, ni))
+
+ edges, xGradient, yGradient
\ No newline at end of file