Publications

PhD Thesis: The Application of Space-filling Curves to the Storage and Retrieval of Multi-dimensional Data (2000) Abstract

J.K.Lawder and P.J.H.King. Using Space-filling Curves for Multi-dimensional Indexing. In Brian Lings & Keith Jeffery, editors, Advances in Databases: proceedings of the 17th British National Conference on Databases (BNCOD 17), volume 1832 of Lecture Notes in Computer Science, pages 20 - 35. Springer Verlag, July 2000. Abstract (slides of BNCOD presentation)
Paper: compressed postscript  pdf

J.K.Lawder and P.J.H.King. Querying Multi-dimensional Data Indexed Using the Hilbert Space-Filling Curve. ACM Sigmod Record 30(1):19-24 (March 2001) 
(formerly Research Report BBKCS-00-04 or JL3/00, September 2000) Abstract
Article: compressed postscript  pdf

J.K.Lawder and P.J.H.King. Using State Diagrams for Hilbert Curve Mappings. International Journal of Computer Mathematics 78(3):327-342 (2001)
(formerly Research Report BBKCS-00-02 or JL2/00, August 2000) Abstract
Report: compressed postscript  pdf
How to generate Hilbert curve state diagrams: Source code

J.K.Lawder. Calculation of Mappings Between One and n-dimensional Values Using the Hilbert Space-filling Curve. Research Report BBKCS-00-01
(formerly JL1/00), August 2000 Abstract
Report: compressed postscript  pdf (corrected July 2009)