How can I do undraggable the polygon object (impoly) ? (vertex can be draggable, but the polygon cannot move)

setVerticesDraggable — Control whether vertices may be dragged

Vertices can be draggable, but the whole polygon doesn't move. Unfortunately the setPositionConstraintFcn function contraints the draggable vertices as well.

[Philip Caplan]

As you mentioned, clicking and dragging a vertex simply moves that vertex but you can drag the entire polygon by hovering the mouse over the enclosed polygon, clicking and then dragging. Is this what you mean?

[Laszlo Sass]

Ok. But I want to fix the polygon. The vertex can be draggable and freely moving. The setPositionContraintFcn limits the moving of vertex.