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Last updated 8th June 2026
Biography
Professor Paul Scott has an honours degree in Mathematics and an MSc in Statistics and also a PhD in Statistics under the supervision of Dr Rodney Coleman at Imperial College London. Paul also has a DSc. University of Huddersfield, with a thesis entitled "Decomposition for Geometrical Products"
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.
In 2010 Paul moved to the Centre of Precision Technologies at the University of Huddersfield, where he currently holds the Taylor Hobson Chair in computational geometry.
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.
Since November 1984, Paul became interested in smart algorithms (AI). This includes: automated recognition of features in surface texture, semantically labeling these features for subsequent analytics, using category theory to model dynamic information flow in systems particularly manufacturing systems (digital twins).
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. 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 twenty three published ISO standards and is currently working on four new ISO documents.
Paul is also developing a Category Semantic Language (CSL) to create documents, such as International Standards, that can be machine: readable, queryable, and interpreted for use in future smart AI systems.
Research Expertise and Interests
- Computational Geometry
- Surface Texture and Form
- Measurement and Metrology
- Precision Engineering
- Manufacturing Systems
- Artificial Intelligence
- Applied Category Theory
- Standards and Quality
- Informatics
- Decomposition of Geometries
- Solid Geometry
- Applied Topology
- Verifying geometrical products
- Fundaments of mathematical metrology
- Algorithms
- Solving next generation real world industrial/manufacturing problems (Industrie 4.0)
- Development of National and International standards
- Philosophy and history of measurement
- Advanced Reasoning
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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SDG 3 Good Health and Well-being
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SDG 7 Affordable and Clean Energy
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SDG 9 Industry, Innovation, and Infrastructure
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SDG 12 Responsible Consumption and Production
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SDG 16 Peace, Justice and Strong Institutions
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Collaborations and top research areas from the last five years
Projects
- 3 Finished
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EPSRC Fellowship in Manufacturing: Controlling Geometrical Variability of Products for Manufacturing
Scott, P. (PI)
1/09/13 → 31/12/18
Project: Research
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ESPRC Centre for Innovative Manufacturing in Advanced Metrology
Jiang, J. (PI), Blunt, L. (CoI), Longstaff, A. (CoI), Towns-Andrews, L. (CoI), Scott, P. (CoI), Myers, A. (CoI), Fletcher, S. (CoI) & Ball, A. (CoI)
1/09/11 → 28/02/17
Project: Research
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Future Advanced Metrology Hub
Jiang, J. (PI), Martin, H. (CoI), Longstaff, A. (CoI), Kadirkamanathan, V. (CoI), Turner, M. S. (CoI), Keogh, P. (CoI), Scott, P. (CoI), McLeay, T. E. (CoI), Blunt, L. (CoI), Zeng, W. (CoI), Huntley, J. M. (CoI), Bills, P. (CoI), Fletcher, S. (CoI), Gao, F. (CoI), Coupland, J. M. (CoI), Kinnell, P. (CoI), Mahfouf, M. (CoI) & Mullineux, G. (CoI)
1/10/16 → 30/09/23
Project: Research
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Abstracting Prediction of Surface Roughness in Laser Powder Bed Fusion Using Logical Reasoning and Category Theory
Qin, Y., Lou, S., Li, T., Zeng, W., Scott, P. J. & Jiang, X., 17 Jun 2026, Advanced Measurement, Imaging, and Instruments: Selected Papers from ISMTII / ICOIM 2025. Liu, S., Zhu, J. & Yang, S. (eds.). 1st ed. Springer Singapore, Vol. 1. p. 63-73 11 p. (Lecture Notes in Electrical Engineering; vol. 1596 LNEE).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
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A Surface Quality Evaluation Method for Establishing Image-Surface Causal Chain in X-ray Computed Tomography Measurement
Chen, X., Lou, S., Zeng, W., Scott, P., Jiang, J. & Sun, W., 31 Dec 2026, (Accepted/In press) In: Engineering.Research output: Contribution to journal › Article › peer-review
Open Access -
A Theoretical Model for Line Contact of Rough Surfaces From Partial to Complete Contact
Wang, S., Yuan, W., Wang, M., Zhong, W., Zeng, W., Scott, P., Jiang, X. & Wang, G., 1 Nov 2026, In: Journal of Tribology. 148, 11, 9 p., 111501.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Influence of Adhesive Bonding on the Surface Accuracy of Flat Optics: A Mechanistic Analysis and a Quantitative Approximation
Xiong, J., Su, T., Chen, X., Zhang, Z., Zeng, W., Lou, S., Qin, Y., Zhong, W., Scott, P. J. & Jiang, X., 9 Feb 2026, In: Photonics. 13, 2, 26 p., 166.Research output: Contribution to journal › Article › peer-review
Open Access -
Machine learning in feature recognition for manufacturing: taxonomy, analytical review, comparisons, trends, challenges, and outlook
Shi, P., Qin, Y., Meng, F., Scott, P. J. & Jiang, X., 23 May 2026, (E-pub ahead of print) In: International Journal of Production Research. 36 p.Research output: Contribution to journal › Review article › peer-review
Open Access
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AI-assisted high-precision dynamic error calibration for on-machine measurement systems
Cui, W. (Speaker), Wang, M. (Contributor to Paper or Presentation), Zhong, W. (Contributor to Paper or Presentation), Lou, S. (Contributor to Paper or Presentation), Scott, P. (Contributor to Paper or Presentation), Jiang, X. (Contributor to Paper or Presentation) & Zeng, W. (Contributor to Paper or Presentation)
11 Jun 2025Activity: Talk or presentation types › Oral presentation
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An initial study on using X-ray computed tomography to measure the surface roughness of additively manufactured metal lattices
Ssebaggala, R. (Speaker), Liften, J. (Contributor to Paper or Presentation), Zeng, W. (Contributor to Paper or Presentation), Scott, P. (Contributor to Paper or Presentation), Jiang, J. (Contributor to Paper or Presentation) & Lou, S. (Contributor to Paper or Presentation)
27 Nov 2023Activity: Talk or presentation types › Oral presentation
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Exploitation of Industrial X-ray Computed Tomography for Surface Metrology of Metallic Additively Manufactured Parts
Lou, S. (Speaker), Zeng, W. (Contributor to Paper or Presentation), Sun, W. (Contributor to Paper or Presentation), Chen, X. (Contributor to Paper or Presentation), Liu, W. (Contributor to Paper or Presentation), Scott, P. (Contributor to Paper or Presentation) & Jiang, J. (Contributor to Paper or Presentation)
27 Nov 2023Activity: Talk or presentation types › Invited talk
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Design of a Smart ISO GPS Standard Based on Knowledge Graph
Li, T. (Speaker), Scott, P. (Contributor to Paper or Presentation) & Macleod, I. (Contributor to Paper or Presentation)
13 Jun 2023Activity: Talk or presentation types › Oral presentation
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Investigation of the smoothing effect of focal spot size and voxel size on the XCT measurement of AM surface texture using surface amplitude transfer function
Chen, X. (Speaker), Jiang, J. (Contributor to Paper or Presentation), Sun, W. (Contributor to Paper or Presentation), Lou, S. (Contributor to Paper or Presentation), Scott, P. (Contributor to Paper or Presentation) & Zeng, W. (Contributor to Paper or Presentation)
16 Jun 2022Activity: Talk or presentation types › Oral presentation
Press/Media
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Manufacturers benefit in discovery of math foundation for decomposition in £1.5 million project
Scott, P., Qi, Q. & Pagani, L.
19/02/19 → 20/02/19
2 items of Media coverage
Press/Media: Expert Comment