[CE U14] Place best fit oriented block

Oto said:

How to place best fit orientated block

How do you define 'best fit'?

Your example (thanks for supplying a DGN file!) shows a rhombus.  None of its sides is parallel to an axis.  How would you go about making a 'best fit' rectangle manually?

• Rotate the rhombus so at least one of its sides is parallel to an axis
• Construct a rectangle from the range of the shape
• Something else?

I mean best fit by less difference between rhombus corners and new rectangle corners.

This is similar problem - https://gis.stackexchange.com/questions/212003/modifying-polygons-to-be-more-rectangular-using-pyqgis

Oriented MBR is not quite what is expected but close. 

Orthogonalize or regularize seems to be the term.

Oto said:

Oriented MBR is not quite what is expected but close

• Rotate a polygon so that its longest edge is parallel to the X axis
• Use key-in SET RANGE to see element ranges
• Look at the DGN range of the shape

Does that suit your needs?

If that doesn't provide what you want, you will need to be very precise when specifying your exact requirement.

No. Range could be too big. Need more optimized approach where all orthogonal shape points are as close(outside or inside) as possible to original shape.

Will try another manual approach before fall back to VBA.

• Find centroid using measure area tool and read centroid angle
• Place orientated orthogonal block by angle or block with constraints
• modify block and snap to vertex

Edit: Tried using area tool to get Mass properties then converted matrix to degrees and placed block with the calculated angle but result is not close enough