Help required drawing dotted path lines, with even dots along the path line

Question

Help required drawing dotted path lines, with even dots along the path line.

I want to draw a path line that can be any shape (square, round, outline etc), and along this path line I want even dots to appear.

I also want to be able to resize the shape (as in the example attached)

This is very easy to do using "DrawPath" and defining points for the path and using a pen defined as dots.

The problem I have is I want the dots to be evenly placed along the path, on any shape or size I draw.

In the example I have created, I create a square with 4 points and draw a dotted path.

There are 2 buttons that allows me to resize the square (larger or smaller) this helps show the problem more clearly.

The path starts at the top left corner and finishes back at the top left corner, the dots are evenly placed along the path, except the final dots at the end of the path. (Sometimes the dots are even and other times they are not even).

The shapes I want to draw can be any size and any shape, but I have used a square in this example to show the problem I have.


Can anyone please help point me in the direction I need to go that allows me to draw the dots and give the impression that they are even all along the path, for all shapes and sizes.

In the pictures below if you change the size of the shape, one will have even looking dots, the other will not.

Good:
The picture shows a path line that has dots that look even.




Bad:
The picture shows a path line that has dots that clash at the start and end of the path line – NOT GOOD







Any help much appreciated

Thanks




Setting up the project:

Create a new project and add a form, add a panel to the form that fills the bottom part of the form, add at the top of the form a label and 2 buttons.

Add the code below to the form:

Full project also available for download:


http://www.craftysams.com/ItemImages/Website_Craft_Images/dottedline.zip



Imports System.Drawing.Drawing2D
Imports System.Math


Public Class Form1

Public pathLinesStart As GraphicsPath = New GraphicsPath

Private Sub Form1_Load(ByVal sender As Object, ByVal e As System.EventArgs) Handles Me.Load

Dim TPoint(5) As PointF
Dim Npoint As PointF = Nothing
'For x1 As Integer = 0 To 4
'Npoint = New PointF(30, 30)
'TPoint(0) = Npoint
'Npoint = New PointF(300, 30)
'TPoint(1) = Npoint
'Npoint = New PointF(300, 300)
'TPoint(2) = Npoint
'Npoint = New PointF(30, 300)
'TPoint(3) = Npoint
'Npoint = New PointF(30, 30)
'TPoint(4) = Npoint
'Npoint = New PointF(30, 30)
'TPoint(5) = Npoint


Npoint = New PointF(126, 126)
TPoint(0) = Npoint
Npoint = New PointF(205, 126)
TPoint(1) = Npoint
Npoint = New PointF(205, 205)
TPoint(2) = Npoint
Npoint = New PointF(126, 205)
TPoint(3) = Npoint
Npoint = New PointF(126, 126)
TPoint(4) = Npoint
Npoint = New PointF(126, 126)
TPoint(5) = Npoint

'Next
pathLinesStart.AddLines(TPoint)

CalculateNewPoints(True, 0)
Me.Refresh()

End Sub

Private Sub Panel1_Paint(ByVal sender As Object, ByVal e As System.Windows.Forms.PaintEventArgs) Handles Panel1.Paint

Dim p As Pen = New Pen(Color.Black, 5)
p.LineJoin = LineJoin.Round
p.EndCap = LineCap.Round
p.StartCap = LineCap.Round

Dim g As Graphics = e.Graphics

p.DashStyle = DashStyle.Dot
p.DashCap = DashCap.Round

g.InterpolationMode = InterpolationMode.HighQualityBicubic
g.SmoothingMode = SmoothingMode.HighQuality
p.Color = Color.Red
g.DrawPath(p, pathLinesStart)

End Sub

Private Sub Button1_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button1.Click

' Increase change point size
CalculateNewPoints(True, 10)
Me.Refresh()

End Sub



Private Sub Button2_Click(ByVal sender As System.Object, ByVal e As System.EventArgs) Handles Button2.Click

' Decrease change point size
CalculateNewPoints(False, 10)
Me.Refresh()

End Sub

Public Sub CalculateNewPoints(ByRef Increase As Boolean, ByVal PercentageChange As Double)


Dim RotatePerc As Single = 0

Dim pathLines As GraphicsPath = pathLinesStart

Dim xmin As Single = 0
Dim xmax As Single = 0
Dim ymin As Single = 0
Dim ymax As Single = 0
Dim xmin2 As Single = 0
Dim xmax2 As Single = 0
Dim ymin2 As Single = 0
Dim ymax2 As Single = 0

Dim CPoint As PointF = New Point(0, 0)
Dim CPoint2 As PointF = New Point(0, 0)
Dim OldPoint As PointF = New Point(0, 0)

xmin = pathLines.PathPoints(0).X
xmax = pathLines.PathPoints(0).X
ymin = pathLines.PathPoints(0).Y
ymax = pathLines.PathPoints(0).Y

For x1 As Integer = 0 To UBound(pathLines.PathPoints)
If pathLines.PathPoints(x1).X < xmin Then
xmin = pathLines.PathPoints(x1).X

End If
If pathLines.PathPoints(x1).X > xmax Then
xmax = pathLines.PathPoints(x1).X

End If
If pathLines.PathPoints(x1).Y < ymin Then
ymin = pathLines.PathPoints(x1).Y

End If
If pathLines.PathPoints(x1).Y > ymax Then
ymax = pathLines.PathPoints(x1).Y

End If

Next

Dim xwidth As Single = ((xmax - xmin))
Dim ywidth As Single = ((ymax - ymin))

' Find the centre point of the annotation
CPoint = New PointF(((xwidth / 2)) + xmin, ((ywidth / 2)) + ymin)

Dim aAngle As Single = 0
Dim nChngY As Single = 0
Dim nChngX As Single = 0
Dim nChng As Single = 0

Dim nPercChng As Double = (PercentageChange / 100)
Dim xPoint As Single = 0
Dim yPoint As Single = 0

Dim TPoint(UBound(pathLines.PathPoints)) As PointF
Dim Npoint As PointF = Nothing

Label1.Text = ""

For x1 As Integer = 0 To UBound(pathLines.PathPoints)

OldPoint = New PointF((pathLines.PathPoints(x1).X), (pathLines.PathPoints(x1).Y))

aAngle = CSng(Math.Atan2((OldPoint.Y - CPoint.Y), (OldPoint.X - CPoint.X)))

' get length of Hypotenuse
nChngX = CSng(Math.Pow((CPoint.X - OldPoint.X), 2))
nChngY = CSng(Math.Pow((CPoint.Y - OldPoint.Y), 2))
nChng = CSng((Math.Sqrt((nChngX + nChngY))))

' get percentage changed based on length of Hypotenuse
Dim nChngPc As Double = nChng * nPercChng
xPoint = CSng((Math.Cos(aAngle) * nChngPc))
yPoint = CSng(CSng((Math.Sin(aAngle) * nChngPc)))

If OldPoint.X > (CPoint.X) Then
' add
xPoint = Math.Abs(xPoint)
Else
' sub
xPoint = Math.Abs(xPoint)
xPoint = 0 - xPoint
End If


If OldPoint.Y > (CPoint.Y) Then
' add
yPoint = Math.Abs(yPoint)
Else
' sub
yPoint = Math.Abs(yPoint)
yPoint = 0 - yPoint
End If

Dim X1a As Single, Y1a As Single, X2a As Single, Y2a As Single

If Increase = True Then
'larger
X1a = ((OldPoint.X + (xPoint)))
Y1a = (OldPoint.Y + (yPoint))
Else
'smaller
X1a = ((OldPoint.X - (xPoint)))
Y1a = (OldPoint.Y - (yPoint))
End If

Dim r As Double = Math.Atan(Y1a / X1a)

' get length of Hypotenuse
nChngX = CSng(Math.Pow((CPoint.X - X1a), 2))
nChngY = CSng(Math.Pow((CPoint.Y - Y1a), 2))
nChng = CSng((Math.Sqrt((nChngX + nChngY))))

r = ((Math.PI / 180) * (nChng))
Dim ROT As Single = CSng(((Math.PI / 180) * RotatePerc))
r = nChng

X2a = CSng((r * Cos(ROT) * Cos(aAngle)) - (r * Sin(ROT) * Sin(aAngle)))
Y2a = CSng((r * Sin(ROT) * Cos(aAngle)) + (r * Cos(ROT) * Sin(aAngle)))

X2a = X2a + CPoint.X
Y2a = Y2a + CPoint.Y

Npoint = New PointF(CInt((X2a)), CInt((Y2a)))
TPoint(x1) = Npoint
Label1.Text = Label1.Text + "(" + Npoint.X.ToString + "," + Npoint.Y.ToString + ") - "

Next

pathLinesStart = New GraphicsPath
pathLinesStart.AddLines(TPoint)

End Sub


End Class