public void Rubbersheet( 
   Layer layer,
   RubbersheetMethod rubbersheetMethod
)

//Perform rubbersheet by geometries
var rubbersheetMethod = new RubbersheetByGeometries()
{
  RubbersheetType = RubbersheetMethodType.Linear, //The RubbersheetType can be Linear of NearestNeighbor
  LinkLines = linkLines, //IEnumerable list of link lines (polylines)
  AnchorPoints = anchorPoints, //IEnumerable list of anchor points (map points)
  LimitedAdjustmentAreas = limitedAdjustmentAreas //IEnumerable list of limited adjustment areas (polygons)
};

var rubbersheetOp = new EditOperation();
//Performs linear rubbersheet transformation on the features belonging to "layer" that fall within the limited adjustment areas
rubbersheetOp.Rubbersheet(layer, rubbersheetMethod);
//Execute the operation
rubbersheetOp.Execute();

//Alternatively, you can also perform rubbersheet by layer
var rubbersheetMethod2 = new RubbersheetByLayers()
{
  RubbersheetType = RubbersheetMethodType.NearestNeighbor, //The RubbersheetType can be Linear of NearestNeighbor
  LinkLayer = linkLayer,
  AnchorPointLayer = anchorPointsLayer,
  LimitedAdjustmentAreaLayer = limitedAdjustmentAreaLayer
};

//Performs nearest neighbor rubbersheet transformation on the features belonging to "layer" that fall within the limited adjustment areas
rubbersheetOp.Rubbersheet(layer, rubbersheetMethod2);
//Execute the operation
rubbersheetOp.Execute();