1. A computer program product comprising a non-transitory machine-readable medium storing instructions that, when executed by at least one programmable processor, cause the at least one programmable processor to perform operations comprising: processing a data set of spatial data having a plurality of dimensions and comprising a column containing a plurality of linestrings, the processing comprising decomposing each linestring of the plurality of linestrings into a plurality of line segments, each line segment of the plurality of line segment having a first vertex and a second vertex; listing each coordinate dimension value appearing in at least one line segment of the plurality of line segments in one of a plurality of dimensional dictionaries, each dimensional dictionary of the plurality of dimensional dictionaries corresponding to a dimension of the plurality of dimensions; representing the column containing the plurality of linestring as a set of index vectors, the set of index vectors comprising an index vector for each dimension of the plurality of dimensions for each of the first and second vertices of the plurality of line segments, each index vector of the set of index vectors comprising value identifiers that reference the coordinate dimension values in the dimensional dictionary of the plurality of dimensional dictionaries corresponding to the dimension represented by the index vector; and performing a data set operation on the data set using the plurality of dimensional dictionaries, the data set operation comprising a join of linestrings, the join comprising finding all line segments of the joined linestrings that intersect using the plurality of dimensional dictionaries, the finding comprising: defining an index cluster that comprises an interval within a dimensional dictionary of the plurality of dimensional dictionaries, the interval including a coordinate value of one of the vertices of a line segment of the plurality of line segments, and identifying possibly intersecting other line segments of the plurality of line segments as those line segments for which a comparison of the index cluster with another index vector of the set of index vectors return a true value.