Professor Paul Scottp.j.scott@hud.ac.uk | 01484 473953
Professor Paul Scott has an honours degree in Mathematics and an MSc in Statistics and also a PhD in Statistics with a thesis entitled Multipivital models with applications to a shape fitting problem under the supervision of Dr Rodney Coleman at Imperial College London.
Paul Scott started his career at Taylor Hobson Ltd, Leicester: a world leader in the design and development of ultra-precision metrology instruments for surface texture and form. He spent twenty six years in the research department applying mathematical ideas and concepts to surface texture and form measuring instruments both during the development of instrumentation and post development for mathematical enhancements of the metrological capabilities of instrumentation.
Paul focused his research on why algorithms in surface and form characterisation and instrumentation are quick and stable whilst others are not. Only by going back to mathematical fundamental principles is it possible to discover core factors for determining quick and substantially stable algorithms to solve problems and even to try and generalise the global solution to wider problems. Most of the algorithms he developed, usually being the first in the field, have become the de-facto standard algorithms against which algorithms developed by others are compared.
Paul is also very active in National and International Standardisation for Geometrical Product Specification and Verification (GPS). He is a core member of the BSI Committee TDW4 and convenor of one of its sub-committees TDW4/-/9. Paul Scott is also a leading member of ISO Technical Committee TC/213 being a founder member of its strategic group AG1, a founder member of its technical review group AG2, convenor of working group WG15 on Filtration and Extraction and also convenor of advisory group AG12 on Mathematics for Geometrical Product Specification. He was project leader for fifteen published ISO standards and is currently working on nine new ISO documents.
In 1995 Paul became a Visiting Senior Research Fellow at the University of Birmingham, working one day a week with the surface metrology group. In 1997 the whole group moved to the University of Huddersfield and became a part of the Centre for Precision Technologies (CPT). In 2001 Paul became the Taylor Hobson Visiting Industrial Professor: working for two days a week at the CPT,
Paul Scott’s University research took a more fundamental and longer term view of mathematical metrology, asking the question:
What mathematical tools will be required to solve metrology problems of the future?
In answer to this question Paul:
In March 2010 Paul was awarded a Chair for Computational Geometry in the School of Computing and Engineering.
Outside of work Prof Scott enjoys: Astronomy, Numismatics, Archaeology, and solving Mathematical Puzzles.
The association of mathematics with measurement, particularly measurement associated with geometry, has a very long history from the Rhind Mathematical Papyrus (detailing mathematical problems in surveying to re-establish the field systems after the flood of the river Nile in ancient Egypt) to modern computational mathematics in metrology software (such as that used in co-ordinate measuring machines). Measurement provides the bridge between the real world and the virtual world of mathematical models, as used by science, by providing estimated values for the parameters used in the models.
Professor Scott has spent a career developing the mathematics for specifying and characterising geometrical products (i.e. products defined by their geometrical size, shape, and texture) through measurement of their geometry at all scales. By taking a fundamental, more philosophical approach to the mathematics of geometrical products and the realisation that all areas of mathematics have potential utility, many new concepts and ideas have been produced.
The dominant paradigm for measurement (the representational theory of measurement) is based on mapping the structure (relationships) of a ‘property’ on to a suitable numerical structure (scale). That is the mathematics of measurement is all about structure and relationships. One particular philosophy of mathematics seems particularly appropriate for the mathematics of measurement, namely ‘Categorical Structuralism’. Categorical structuralism views Mathematics as “the science of structures with Category theory (the theory of structures and relationships between structures) as the language of these structures and relationships. Thus measurement theory can be well founded on category theory.
Philosophy can provide a ‘big picture’ of a subject area with mathematical foundations providing the bedrock on which to build. Together they facilitate asking the right sort of questions; they allow the development of a toolbox of new ideas and concepts in response to real world applications and problems; they permit appropriate solutions to problems of great impact and utility; they set research directions that are both fundamental and applied.
Lou, S., Jiang, X., Bills, P. and Scott, P. (2013) ‘Defining True Tribological Contact Through Application of the Morphological Method to Surface Topography’ Tribology Letters , 50 (2), pp. 185-193. ISSN 1023-8883
Lou, S., Zeng, W., Jiang, X. and Scott, P. (2013) ‘Robust Filtration Techniques in Geometrical Metrology and Their Comparison’ International Journal of Automation and Computing , 10 (1), pp. 1-8. ISSN 1476-8186
Lou, S., Jiang, X. and Scott, P. (2013) ‘Correlating motif analysis and morphological filters for surface texture analysis’ Measurement , 46 (2), pp. 993-1001. ISSN 0263-2241
Lou, S., Jiang, X. and Scott, P. (2013) ‘Application of the morphological alpha shape method to the extraction of topographical features from engineering surfaces’ Measurement , 46 (2), pp. 1002-1008. ISSN 0263-2241
Qi, Q., Jiang, X., Scott, P. and Lu, W. (2012) ‘Model for a CAD-assisted designing process with focus on the definition of the surface texture specifications and quality’. In: Proceedings of the 37th International MATADOR Conference. Manchester, UK: Springer. pp. 273-276. ISBN 978-1-4471-4479-3
Lou, S., Zeng, W., Jiang, X. and Scott, P. (2012) ‘Comparison of Robust Filtration Techniques in Geometrical Metrology’. In: 18th International Conference on Automation and Computing (ICAC) 2012. Leicestershire, UK: IEEE. pp. 1-6. ISBN 978-1-4673-1722-1
Scott, P. and Forbes, A. (2012) ‘Mathematics for modern precision engineering’ Philosophical Transactions A: Mathematical, Physical and Engineering Sciences , 370 (1973), pp. 4066-4088. ISSN 1364-503X
Wang, J., Jiang, X., Blunt, L., Leach, R. and Scott, P. (2012) ‘Intelligent sampling for the measurement of structured surfaces’ Measurement Science and Technology , 23 (8). ISSN 0957-0233
Lou, S., Jiang, X. and Scott, P. (2012) ‘Algorithms for morphological profile filters and their comparison’ Precision Engineering , 36 (3), pp. 414-423. ISSN 01416359
Blunt, L. and Scott, P. (2012) ‘Characterisation of structured geometry surfaces features on micro and nano scale surfaces’ International Journal of Nanomanufacturing , 8 (5/6), pp. 359-371. ISSN 1746-9392
Wang, J., Jiang, X., Blunt, L., Leach, R. and Scott, P. (2012) ‘A boundary segmentation algorithm for extracting microscale dimensional parameters in the measurement of structured surfaces’. In: euspen 12th International Conference and Exhibition, 4 - 8 June 2012, Stockholm, Sweden
Qi, Q., Jiang, X., Scott, P. and Lu, W. (2012) ‘Surface texture specification, the more complete the better?’ Procedia Engineering: 12th CIRP Conference on Computer Aided Tolerancing . ISSN 1877-7058
Ding, H. and Scott, P. (2012) ‘Structure of Mathematical Morphology’. In: Proceedings of The Queen’s Diamond Jubilee Computing and Engineering Annual Researchers’ Conference 2012: CEARC’12. Huddersfield: University of Huddersfield. pp. 20-24. ISBN 978-1-86218-106-9
Lou, S., Jiang, X. and Scott, P. (2012) ‘An Introduction to Morphological Filters in Surface Metrology’. In: Proceedings of The Queen’s Diamond Jubilee Computing and Engineering Annual Researchers’ Conference 2012: CEARC’12. Huddersfield: University of Huddersfield. pp. 7-13. ISBN 978-1-86218-106-9
Abdul-Rahman, H., Jiang, X. and Scott, P. (2012) ‘Freeform surface filtering using the lifting wavelet transform’ Precision Engineering , 37 (1), pp. 187-202. ISSN 01416359
Qi, Q., Jiang, X. and Scott, P. (2012) ‘Knowledge modeling for specifications and verification in areal surface texture’ Precision Engineering , 36 (2), pp. 322-333. ISSN 0141-6359
Zeng, W., Jiang, X. and Scott, P. (2012) ‘A new method to characterize the structured tessellation surface’ Procedia Engineering: 12th CIRP Conference on Computer Aided Tolerancing . ISSN 1877-7058
Zeng, W., Jiang, X., Scott, P. and Blunt, L. (2012) ‘Diffusion filtration for the evaluation of MEMs surface’ International Journal of Precision Engineering and Manufacturing . ISSN 2234-7593
Lou, S., Jiang, X. and Scott, P. (2012) ‘An Efficient Divide-and-Conquer Algorithm for Morphological Filters’ Procedia Engineering: 12th CIRP Conference on Computer Aided Tolerancing . ISSN 1877-7058
Jiang, X., Lou, S. and Scott, P. (2011) ‘Morphological method for surface metrology and dimensional metrology based on the alpha shape’ Measurement Science and Technology , 23 (1), p. 015003. ISSN 0957-0233
Lou, S., Jiang, X. and Scott, P. (2011) ‘Morphological Filters Based on Motif Combination for Functional Surface Evaluation’. In: Proceedings of the 17th International Conference on Automation & Computing, 10 September 201, University of Huddersfield, Huddersfield, UK , pp. 133-137
Jiang, X., Zeng, W. and Scott, P. (2011) ‘Wavelet Analysis for the Extraction of Morphological Features for Orthopaedic Bearing Surfaces’. In: Progress in Molecular and Environmental Bioengineering - From Analysis and Modeling to Technology Applications. London: InTech. . ISBN 9789533072685
Wang, J., Jiang, X., Gurdak, E., Scott, P., Leach, R., Tomplins, P. and Blunt, L. (2011) ‘Numerical characterisation of biomedical titanium surface texture using novel feature parameters’ Wear , 271 (7-8), pp. 1059-1065. ISSN 0043-1648
Zhang, X., Jiang, X. and Scott, P. (2011) ‘A Reliable Method of Minimum Zone Evaluation of Cylindricity and Conicity from Coordinate Measurement Data’ Precision Engineering , 35 (3), pp. 484-489. ISSN 0141-6359
Zeng, W., Jiang, X. and Scott, P. (2011) ‘A Generalised Linear and Nonlinear Spline filter’ Wear , 271 (3/4), pp. 544-547. ISSN 0043-1648
Wang, J., Jiang, X., Blunt, L., Leach, R. and Scott, P. (2011) ‘Efficiency of adaptive sampling in surface texture measurement for structured surfaces’. In: The 13th International Conference on Metrology and Properties of Engineering Surfaces, 12-15 April 2011, National Physical Laboratory, Teddington, UK , pp. 214-218
Wang, J., Jiang, X., Blunt, L., Leach, R. and Scott, P. (2011) ‘Efficiency of adaptive sampling in surface texture measurement for structured surfaces’. In: The 13th International Conference on Metrology and Properties of Engineering Surfaces, 12-15 April 2011, National Physical Laboratory, Teddington, UK , pp. 214-218
Lou, S., Jiang, X. and Scott, P. (2011) ‘Fast Algorithm for Morphological Filters’ Journal of Physics: Conference Series , 311, p. 284. ISSN 1742-6596
Zhang, X., Jiang, X. and Scott, P. (2011) ‘Minimum Zone Evaluation of the Form Errors of Quadric Surfaces’ Precision Engineering , 35 (2), pp. 383-389. ISSN 0141-6359
Zhang, X., Jiang, X. and Scott, P. (2011) ‘A Minimax Fitting Algorithm for Ultra-Precision Aspheric Surfaces’. In: The 13th International Conference on Metrology and Properties of Engineering Surfaces, 12-15 April 2011, National Physical Laboratory, Teddington, UK
Jiang, X., Cooper, P. and Scott, P. (2011) ‘Freeform surface filtering using the diffusion equation’ Proceedings of the Royal Society, A , 467 (2127), pp. 841-859. ISSN 1364-5021
Zeng, W., Jiang, X. and Scott, P. (2011) ‘Roundness filtration by using robust regression filter’ Measurement Science and Technology , 22 (3), p. 035108. ISSN 0957-0233
Qi, Q., Blunt, L., Scott, P. and Jiang, X. (2010) ‘Modeling of the concepts in ISO standards for profile surface texture’. In: Future Technologies in Computing and Engineering: Proceedings of Computing and Engineering Annual Researchers' Conference 2010: CEARC’10. Huddersfield: University of Huddersfield. pp. 172-176. ISBN 9781862180932
Qi, Q., Jiang, X., Liu, X. and Scott, P. (2010) ‘An unambiguous expression method of the surface texture’ Measurement , 43 (10), pp. 1398-1403. ISSN 0263-2241
Lou, S., Jiang, X. and Scott, P. (2010) ‘A Fast Algorithm for Morphological Filters’. In: Future Technologies in Computing and Engineering: Proceedings of Computing and Engineering Annual Researchers' Conference 2010: CEARC’10. Huddersfield: University of Huddersfield. p. 190. ISBN 9781862180932
Lu, W., Jiang, X., Qi, Q. and Scott, P. (2010) ‘Modeling the integration between specifications and verification for cylindricity based on category theory’ Measurement Science and Technology , 21 (11). ISSN 0957-0233
Kong , L., Cheung, B., Jiang, X., Lee, W., To, S., Blunt, L. and Scott, P. (2010) ‘Characterization of Surface Generation of Optical Microstructures Using a Pattern and Feature Parametric Analysis Method’ Precision Engineering , 34 (4), pp. 755-766. ISSN 0141-6359
Zeng, W., Jiang, X. and Scott, P. (2010) ‘Fast algorithm of the Robust Gaussian Regression Filter for Areal Surface Analysis’ Measurement Science and Technology , 21 (5), p. 055108. ISSN 0957-0233
Jiang, X., Zhang, X. and Scott, P. (2010) ‘Template matching of freeform surfaces based on orthogonal distance fitting for precision metrology’ Measurement Science and Technology , 21 (4). ISSN 0957-0233
Zhang, X., Jiang, X. and Scott, P. (2010) ‘Shape recognition and form error evaluation of quadric surfaces’. In: Measurement Systems and Process Improvement (MSPI) 2010 , 19-20, Apr, 2010, NPL, Teddington, UK
Zeng, W., Jiang, X., Smith, I. and Scott, P. (2010) ‘Transient Signal Separation in Watt Balance Experiments’ Physics Letters A , 374 (11-12), pp. 1301-1306. ISSN 0375-9601
Xu, Y., Xu, Z., Jiang, X. and Paul, S. (2010) ‘Developing a Knowledge-based System for Complex Geometrical Product Specification (GPS) Data Manipulation.’ Knowledge Based Systems , 24 (1), pp. 10-22. ISSN 0950-7051
Blunt, L., Jiang, X. and Scott, P. (2009) ‘Precision and Nanoscale Surface Metrology’. In: International Moulded Optics Conference,, 19-20th Nov 2009, Breman Germany
Zhang, X., Jiang, X., Scott, P. and Cooper, P. (2009) ‘A Fast Point Projection Approach of NURBS surfaces’. In: A4A6 - Algorithms for Approximation VI 2009, 31st August - 4th September 2009, Ambleside, UK
Zeng, W., Jiang, X. and Scott, P. (2009) ‘A Generalised Linear and Nonlinear Spline filter’. In: 12th International Conference on Metrology and Properties of Engineering Surfaces, 8-10 July 2009, Rzeszów, Poland
Zeng, W., Jiang, X., Scott, P. and Xiao, S. (2009) ‘A Fast Algorithm for the High Order Linear and Nonlinear Gaussian Regression filter’. In: 9th International Conference of the European Society for Precision Engineering & Nanotechnology (EUSPEN), Tuesday 2nd to Friday 5th June 2009, San Sebastian, Spain
Zheng, w., Jiang, X., Scott, P., Xiao, S. and Blunt, L. (2009) ‘A Fast Algorithm for the High Order Linear and Nonlinear Gaussian Regression filters"’. In: Proceedings of the euspen International Conference , Tuesday 2nd-Friday 5th June 2009, San Sebastian, Spain
Lu, W., Jiang, X., Scott, P. and Lan, X. (2009) ‘A Host System for Form Tolerance Specification in the Next-generation GPS based on AutoCAD’. In: The 11th CIRP Conference on Computer Aided Tolerancing “Geometric Variations within Product Life-Cycle Management”, 26-27 March 2009, Annecy, France
Zhang, X., Jiang, X. and Scott, P. (2009) ‘A new free-form surface fitting method for precision coordinate metrology’ Wear , 266 (5-6), pp. 543-547. ISSN 0043-1648
Zhang, X., Jiang, X. and Scott, P. (2009) ‘The Orthogonal Distance Fitting Of Parametric Surfaces For Precision Coordinate Metrology ’. In: University of Huddersfield Research Festival, 23rd March - 2nd April 2009, University of Huddersfield
Zeng, W., Jiang, X., Scott, P. and Blunt, L. (2009) ‘New Geometrical Filtratation For Ultra-Precision And Micro,Nano Manufactured Products’. In: University of Huddersfield Research Festival, 23rd March - 2nd April 2009, University of Huddersfield
Scott, P (2009) ‘Feature parameters’ Wear , 266 (5-6), pp. 548-551. ISSN 0043-1648
Xu, Y., Xu, Z., Jiang, X., Scott, P. and Pickering, J. (2008) ‘Evaluation on the categorical DBMS for the VirtualGPS knowledge system’. In: Proceedings of Computing and Engineering Annual Researchers' Conference 2008: CEARC’08. Huddersfield: University of Huddersfield. pp. 81-86. ISBN 978-1-86218-067-3
Zeng, W., Jiang, X., Scott, P. and Blunt, L. (2008) ‘Investigation on the noise separation in watt balance experiments’ Key Engineering Materials , 381-382, pp. 619-622. ISSN 1013-9826
Zhang, X., Jiang, X. and Scott, P. (2008) ‘Orthogonal distance fitting of precision free form surfaces based on l1 norm’. In: Conference on Advanced Mathematical and Computational Tools in Metrology and Testing, 23 – 25 June 2008, Paris, France
Li, T., Jiang, X., Blunt, L., Scott, P. and Xiao, S. (2008) ‘The Design and Use of F1 Softgauges for Validating Surface Metrology Software’ Key Engineering Materials , 381-382, pp. 643-646. ISSN 1013-9826
Zeng, W., Jiang, X., Scott, P. and Blunt, L. (2008) ‘Morphological Component Analysis based Detection of Transient Behaviour in Environmental Vibration for the Watt Balance’. In: 10th International Conference of the European Society for Precision Engineering and Nanotechnology, euspen, 18th-22nd May 2008, Kongresshaus Zurich
Jiang, X., Zeng, W., Scott, P. and Ma, J. (2008) ‘Linear feature extraction based on complex ridgelet transform’ Wear , 264 (5-6), pp. 428-433. ISSN 0043-1648
Jiang, X., Scott, P. and Whitehouse, D. (2008) ‘Wavelets and their applications for surface metrology’ CIRP Annals - Manufacturing Technology , 57 (1), pp. 555-558. ISSN 0007-8506
Jiang, X., Scott, P., Whitehouse, D. and Blunt, L. (2007) ‘Paradigm shifts in surface metrology. Part I. Historical philosophy’ Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences , 463 (2085), pp. 2049-2070. ISSN 1364-5021
Li, T., Jiang, X., Blunt, L., Scott, P. and Yao, S. (2007) ‘The Design and Use of F1 Softgauges for Validating Surface Metrology Software’. In: The 8th International Symposium on Measurement Technology and Intelligent Instruments (ISMTII-2007), 24-27 September 2007, Tohoku University, Sendai, Japan
Zhang, X., Jiang, X. and Scott, P. (2007) ‘A new free-form surface fitting method for precision coordinate metrology’. In: The 11th International Conference on Metrology and Properties of Engineering Surfaces (Met & Props 2007), 17th-20th July 2007, University of Huddersfield, Huddersfield, UK
Scott, P (2007) ‘Feature parameters ’. In: The 11th International Conference on Metrology and Properties of Engineering Surfaces (Met & Props 2007), 17th-20th July 2007, University of Huddersfield, Huddersfield, UK
Li, T., Blunt, L., Jiang, X., Scott, P. and Xiao, X. (2007) ‘On the accuracy of roughness parameters’. In: The 11th International Conference on Metrology and Properties of Engineering Surfaces (Met & Props 2007), 17th-20th July 2007, University of Huddersfield, Huddersfield, UK
Li, T., Jiang, X., Blunt, L., Scott, P. and Xiao, S. (2007) ‘Comparison on F2 softgauges for surface texture’. In: 1st European Conference on Tribology (ECOTRIB), June 12-15, 2007, Ljubljana, Slovenia
Jiang, X., Zeng, W., Smith, I., Scott, P. and Maletras, F. (2007) ‘The detection of transient behaviour in environmental vibration for the Watt balance’ Measurement Science and Technology , 18 (5), pp. 1487-1494. ISSN 0957-0233
Yan, W., Scott, P. and Jiang, X. (2007) ‘Structures of specification and verification knowledge-base in surface texture knowledge-based system’. In: 10th International Conference on Computer Aided Tolerancing, 21st-23rd March, 2007, Erlangen, Germany
Blunt, L., Jiang, X., Leach, R., Harris, P. and Scott, P. (2007) ‘The development of user-friendly software measurement standards for surface topography software assessment’ Wear , 264 (5-6), pp. 389-393. ISSN 0043-1648
Jiang, X., Scott, P., Whitehouse, D. and Blunt, L. (2007) ‘Paradigm shifts in surface metrology. Part II. The current shift’ Proceedings of the Royal Society, A , 463 (2085), pp. 2071-2099. ISSN 1364-5021
Jiang, X., Scott, P. and Whitehouse, D. (2007) ‘Freeform surface characterisation - a fresh strategy’ CIRP Annals - 2007 , 56 (1), pp. 553-556. ISSN 1726-0604
Blunt, L., Jiang, X. and Scott, P. (2007) ‘A New Approach to Surface Metrology - Structured Surfaces’. In: Proceedings of the 7th International Conference of the European Society for Precision Engineering and Nanotechnology (euspen) - Bremen, Germany, 2007. Bremen: euspen. pp. 254-257. ISBN 978-0-9553082-2-2
Wang, Y., Scott, P. and Jiang, X. (2006) ‘Category model to modeling the surface texture knowledge-base’. In: Proceedings of Computing and Engineering Annual Researchers' Conference 2006: CEARC’06. Huddersfield: University of Huddersfield. pp. 1-7.
Scott, P (2006) ‘The case of surface texture parameter RSm’ Measurement Science and Technology , 17 (3), pp. 559-564. ISSN 09570233
Xiao, S., Xie, F., Blunt, L., Scott, P. and Jiang, X. (2006) ‘Feature extraction for structured surface based on surface networks and edge detection’ Materials Science in Semiconductor Processing , 9 (1-3), pp. 210-214. ISSN 1369-8001
Blunt, L., Jiang, X. and Scott, P. (2005) ‘Advances in micro and nano-scale surface metrology ’ Key Engineering Materials , 295-296, pp. 431-436. ISSN 1013-9826
Zeng, W., Jiang, X. and Scott, P. (2005) ‘Metrological characteristics of dual-tree complex wavelet transform for surface analysis’ Measurement Science and Technology , 16 (7), pp. 1410-1417. ISSN 0957-0233
Zeng, W., Jiang, X., Scott, P. and Blunt, L. (2005) ‘Metrological characteristics of complex wavelet transform for surface topography analysis’. In: 5th euspen International Conference, 9th-12th May 2005, Montpellier, France
Blunt, L., Leach, R., Scott, P., Harris, P., Xiao, S., Li, T., Parkin, G. and Jiang, X. (2005) ‘Development of “softgauges” for surface profile metrology’. In: 5th Euspen International Conference, 9th-12th May 2005, Montpellier, France
Blunt, L., Xiao, S., Jiang, X. and Scott, P. (2005) ‘Geometrical characterisation of MST and microfluidic devices using novel surface metrology techniques’. In: 5th euspen International Conference, 9th-12th May 2005, Montpellier, France
Ma, J., Jiang, X. and Scott, P. (2005) ‘Complex ridgelets for shift invariant characterizaion of surface topography with line singularities’ Physics Letters A , 344, pp. 423-431. ISSN 0375-9601
Wang, Y., Scott, P. and Jiang, X. (2005) ‘The structure of surface texture knowledge’ Journal of Physics: conference series , 13, pp. 1-4. ISSN 1742-6596
Zeng, W., Jiang, X. and Scott, P. (2005) ‘Complex ridgelets for the extraction of morphological features on engineering surfaces’ Journal Paper of Physics: Conference Series , 13, pp. 246-249. ISSN 1742-6588
Blunt, L., Jiang, X., Xiao, S. and Scott, P. (2004) ‘The use of interferometry and image analysis techniques for metrology of MST devices’. In: 8th International Symposium on Measurement and Quality Control in Production, 12th-15th October, 2004, Erlangen, Germany
Scott, P (2004) ‘An application of surface networks in surface texture’. In: Topological Data Structures for Surfaces. : Wiley. . ISBN 9780470851517
Scott, P (2004) ‘Pattern analysis and metrology: the extraction of stable features from observable measurements’ Proceedings of the Royal Society, A , 460, pp. 2845-2864. ISSN 1364-5021
Jiang, X. and Scott, P. (2003) ‘Review of surface texture work in ISO ’. In: 9th International Conference on Metrology and Properties of Engineering Surfaces, 10th-11th September 2003, Halmstad University, Sweden
Scott, P (2003) ‘Recent developments in the measurement of aspheric surfaces by contact stylus instrumentation’ Proceedings of SPIE , 4927, pp. 199-207. ISSN 0277-786X
Blunt, L., Jiang, X. and Scott, P. (2003) ‘Advances in micro and nano-scale surface metrology’. In: ISMTII 2003, The Sixth International Symposium on Measurement Technology and Intelligent Instruments, 28 November - 1 December 2003, Academic Building, Hong Kong University of Science and Technology, Kowloon, Hong Kong
Blunt, L., Jiang, X. and Scott, P. (2003) ‘Future developments in surface metrology’. In: Advanced Techniques for Assessment Surface Topography. London: Kogan Page. pp. 339-347. ISBN 1903996112
Scott, P (2003) ‘Novel areal characterisation techniques’. In: Advanced Techniques for Assessment surface topography. London: Kogan Page. pp. 43-61. ISBN 1903996112
Jiang, X., Blunt, L. and Scott, P. (2002) ‘Fundamental research into the filtration of surface texture in geometric product specification and verification ’. In: 3rd CIRP International Seminar on Intelligent Computation in Manufacturing Engineering - ICME 2002, 3rd-5th July 2002, Ischia, Italy
Scott, P., Jiang, X. and Blunt, L. (2002) ‘An overview of the relationship between approximation theory and filtration’. In: Algorithms for approximation IV : the proceedings of the Fourth International Symposium on Algorithms for Approximation, held at the University of Huddersfield, July 2001. Huddersfield: University of Huddersfield. pp. 188-196. ISBN 1862180407
Burrows, J., Griffiths, B. and Scott, P. (2001) ‘The use of vectors for defining the three-dimensional texture and asymmetric directionality of turned specimens’ Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture , 215 (2), pp. 125-134. ISSN 0954-4054
Scott, P (2001) ‘An algorithm to extract critical points from lattice height data’ International Journal of Machine Tools and Manufacture , 41 (13-14), pp. 1889-1897. ISSN 0890-6955
Xiao, S., Jiang, X., Blunt, L. and Scott, P. (2001) ‘Comparison study of the biorthogonal spline wavelet filtering for areal rough surfaces’ International Journal of Machine Tools and Manufacture , 41 (13-14), pp. 2103-2111. ISSN 08906955
Computational geometry is the study of algorithms which can be stated in terms of geometry. Of particular interest is the development of mathematics for specifying and characterising geometrical products (i.e. products defined by their geometrical size, shape, and texture) through measurement of their geometry at all scales.
A fundamental, more philosophical approach to the mathematics of geometrical products will be taken allowing the development of a toolbox of new ideas and concepts, encapsulated in algorithms, in response to real world applications and problems. These are my main research interests, which I would like to train and supervise PhD students.
The candidate should be creative, have good scientific curiosity with a significant amount of imagination and considerable background in mathematics. Of crucial importance is that the candidate should be highly motivated to carry out the research.
