A computer-based 3D modeling system for constructing a virtual 3D representation from a plurality of data images of 2D cross sections having a mutual spatial relationship. The plurality of data images and the associated orientation and positioning information are extractable from a data source module. A frame creation module constructs a rectangular frame for each image slice. A texture-mapping module maps the image slice onto the associated frame as a texture. A rotation transform module rotates each frame appropriately about one or more axes based upon the orientation information associated with each data image to achieve the correct orientation in 3D space. A translation transform module translates each frame based upon the positioning information associated with each data image to achieve the correct position in 3D space.