An apparatus and method for making a three-dimensional object from a solidifiable material using a linear solidification device and contourless object data is shown and described. A voxel matrix is superimposed over an object model defined by three-dimensional object data to determine active voxels that intersect at least a portion of the object model. The active voxels are related to a path generation reference frame of an apparatus for making a three-dimensional object to generate solidification energy source event data that defines scanning (y) axis locations and/or solidification times at which a linear solidification device supplies solidification energy to a solidifiable material.