A method of rendering volumetric digital images including the steps of providing one or more digital images representing objects with known spatial relation to each other, associating a texture with each object (digital image), choosing a viewing direction for said rendering, imposing a single proxy geometry on all of the one or more textures, and resampling each of the one or more textures using coordinates generated by the single proxy geometry. The range of the coordinate system generated by said proxy geometry extends beyond the valid range of a texture coordinate. The range of the proxy geometry coordinates can be checked to determine which objects provide a valid contribution to the rendering.