Automating the process of converting a smooth shape curve into a polyline and then interpolating between its vertices using VBA (Visual Basic for Applications) in Excel involves several steps. Here’s a basic outline of how you could approach this with VBA scripting:
First, you need to access the drawn shape in your Excel worksheet. Assuming the shape is already drawn:
Set shp = ThisWorkbook.Sheets("YourSheetName").Shapes("YourShapeName")
Replace "YourSheetName" and "YourShapeName" with the actual names of your worksheet and shape.
If the shape is a freeform, you can access its vertices. However, for other shapes, this might not be straightforward. For a freeform shape:
Dim pointsArray As Variant
This will get you the array of points, but note that this works directly only for freeform shapes.
Now, create a new shape that is a polyline, adding points from your original shape:
Set newShape = ThisWorkbook.Sheets("YourSheetName").Shapes.AddShape(msoShapePolyline, _
LeftPosition, TopPosition, Width, Height)
For i = 1 To UBound(pointsArray)
newShape.Nodes.Insert SegmentType:=msoSegmentLine, _
EditingType:=msoEditingAuto, _
Adjust LeftPosition, TopPosition, Width, Height as needed.
Interpolating between points is a more complex task. You’ll need to decide on an interpolation method (linear, spline, etc.) and then implement it. For a simple linear interpolation:
Function InterpolateLinear(x1 As Double, y1 As Double, x2 As Double, y2 As Double, x As Double) As Double
InterpolateLinear = y1 + (x - x1) * (y2 - y1) / (x2 - x1)
You’d call this function for each segment in your polyline, providing the x-value for which you need the y-value.
For more complex curves (e.g., splines), the interpolation might require more advanced mathematical algorithms. VBA can handle this, but it might be quite complex to implement from scratch.
- Shape Type Limitations: Not all Excel shapes expose their vertex points for manipulation, so this approach may not work for all shape types.
- Complex Interpolation: For advanced interpolation methods, consider using external libraries or software.
- Performance: VBA may not be the fastest tool for graphic manipulation, especially for shapes with a large number of points.
This script is a basic framework and will likely need to be adapted and expanded based on your specific requirements and the complexity of the shapes you’re working with.