Figure A demonstrates a point process (object=rectangle) with marks as the length and width of the rectangle. Figure B shows a realization of the point process regarding the information extracted from the input data.
The question is:
How to condition (using pre-conditioning or post-conditioning) the realization to the existing data points with marks?
Figure E demonstrates point process which has location, and width and height marks added.
Figure A is our point process. Figure B added marks as width and height variables. Figure C is our realization of the point process by means of information extracted from Figure A. Figure D is final marked point process, a realization. We seek a method to condition this realization to Figure B.