A method for volume rendering a digitized image includes providing a pair of adjacent 2-dimensional images of texture data, identifying a plurality of polygons extending in slabs between said adjacent two dimensional textures, and finding the first and last visible voxel for the data rows and data columns of each said polygon. The minimum and maximum bounds of each data row and for each data column are determined, those data rows and data columns that do not contain any visible voxels are marked as invisible, and the polygons are rendered along a direction orthogonal to a dominant viewing direction, wherein rendering of texture data is restricted by the outer bounds of polygons that are trimmed to the minimum and maximum bounds of two neighboring data rows or data columns, and wherein those data rows and data columns marked as invisible are skipped.