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All Outputs (691)

Constructive implicit fitting (2005)
Journal Article
Li, Q., Griffiths, J. G., & Ward, J. (2006). Constructive implicit fitting. Computer aided geometric design, 23(1), 17-44. https://doi.org/10.1016/j.cagd.2005.04.011

In this paper, we present a constructive method for fitting both an explicit and an implicit curve or surface to a set of scattered points by using gate functions. With this technique, the data are first partitioned with geometric primitives into sma... Read More about Constructive implicit fitting.

The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2 (2005)
Journal Article
Shaw, R., Maks, J. G., & Gordon, N. A. (2005). The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2. Designs, codes, and cryptography, 34(2-3), 203-227. https://doi.org/10.1007/s10623-004-4855-6

Constructions are given of different kinds of flats in the projective space$$PG(9,2)={\mathbb P}(\wedge^{2}V(5,2))$$which are external to the Grassmannian$${\cal G}_{\bf 1,4,2}$$of lines ofPG(4,2). In particular it is shown that there exist precisely... Read More about The classification of flats in PG (9, 2) which are external to the grassmannian script G sign1,4,2.

Immersive visualization training of radiotherapy treatment (2005)
Journal Article
Phillips, R., Ward, J. W., & Beavis, A. W. (2005). Immersive visualization training of radiotherapy treatment. Studies in health technology and informatics, 111, 390 - 396

External radiation beam treatment of cancer tumours involves delivery of invisible radiation beams through the body where internal structures can not be seen. Beam targeting of patient anatomy has to very accurate to achieve the desired therapeutic r... Read More about Immersive visualization training of radiotherapy treatment.

Aspects of the linear groups GL(n,2) (2005)
Journal Article
Gordon, N. A., Jarvisy, T. M., & Shawy, R. (2005). Aspects of the linear groups GL(n,2). Journal of combinatorial mathematics and combinatorial computing, 53, 13 - 31

We provide tables which summarize various aspects of the Önite linear groups GL(n; 2); n < 7; in their action upon the vector space Vn = V (n; 2) and upon the associated projective space PG(n 1; 2): It is intended that the tabulated results should be... Read More about Aspects of the linear groups GL(n,2).

Experiences of embedding Information Technology into discipline based teaching (2005)
Journal Article
Gordon, N. (2005). Experiences of embedding Information Technology into discipline based teaching. Innovation in teaching and learning in information and computer sciences, 4(1), 1-9. https://doi.org/10.11120/ital.2005.04010002

In this paper we will reflect upon some of the experiences that the author had whilst supporting the embedding of Information Technology (I.T.) into a U.K. mathematics department’s undergraduate teaching. The paper includes some examples of the kinds... Read More about Experiences of embedding Information Technology into discipline based teaching.

A phantom based approach to fluoroscopic navigation for orthopaedic surgery (2004)
Book Chapter
Phillips, R., Mohsen, A., Viant, W., Malek, S., Li, Q., Shah, N., Bielby, M., & Sherman, K. (2004). A phantom based approach to fluoroscopic navigation for orthopaedic surgery. In Medical Image Computing and Computer-Assisted Intervention – MICCAI 2004; Lecture Notes in Computer Science (621-628). Springer Verlag. https://doi.org/10.1007/978-3-540-30136-3_76

The use of the C-arm fluoroscope for surgical navigation in various Computer Assisted Orthopaedic Surgery Systems (CAOS) has been an important success of research into CAOS technology. To use the fluoroscope for quantitative surgical navigation invol... Read More about A phantom based approach to fluoroscopic navigation for orthopaedic surgery.

A self-adaptive scope allocation scheme for labeling dynamic XML documents (2004)
Book
Shen, Y., Feng, L., Shen, T., & Wang, B. (2004). A self-adaptive scope allocation scheme for labeling dynamic XML documents. Springer Publishing Company. https://doi.org/10.1007/978-3-540-30075-5_78

This paper proposes a self adaptive scope allocation scheme for labeling dynamic XML documents. It is general, light-weight and can be built upon existing data retrieval mechanisms. Bayesian inference is used to compute the actual scope allocated for... Read More about A self-adaptive scope allocation scheme for labeling dynamic XML documents.

SuperVise: Using grid tools to simplify visualization (2004)
Presentation / Conference Contribution
Osborne, J., & Wright, H. (2005, September). SuperVise: Using grid tools to simplify visualization. Presented at Parallel Processing and Applied Mathematics, 6th International Conference, PPAM 2005, Poznan, Poland

The visualization process is complicated enough for visualization experts but more so for domain specialists. Problems include managing the transfer of large datasets and choosing appropriate techniques. When we consider performing these tasks in a m... Read More about SuperVise: Using grid tools to simplify visualization.

Least squares ellipsoid specific fitting (2004)
Presentation / Conference Contribution
Li, Q., & Griffiths, J. (2004, April). Least squares ellipsoid specific fitting. Presented at Geometric Modeling and Processing, 2004., Beijing, China

In this paper, a sufficient condition for a quadric surface to be an ellipsoid has been developed and a closed-form solution for ellipsoid fitting is developed based on this constraint, which is a best fit to the given data amongst those ellipsoids w... Read More about Least squares ellipsoid specific fitting.

Implicit curve and surface design using smooth unit step functions (2004)
Presentation / Conference Contribution
Li, Q., & Phillips, R. (2004, June). Implicit curve and surface design using smooth unit step functions. Presented at ACM Symposium on Solid and Physical Modeling, Genoa, Italy

This paper presents an implicit curve and surface design technique that uses smooth unit step functions. With the proposed method, an implicit curve or surface can be generated by inputting a sequence of points together with the normals at these poin... Read More about Implicit curve and surface design using smooth unit step functions.

Artificial intelligence in medicine (2004)
Journal Article
Ramesh, A., Kambhampati, C., Monson, J., & Drew, P. (2004). Artificial intelligence in medicine. Annals of the Royal College of Surgeons of England, 86(5), 334-338. https://doi.org/10.1308/147870804290

INTRODUCTION Artificial intelligence is a branch of computer science capable of analysing complex medical data. Their potential to exploit meaningful relationship with in a data set can be used in the diagnosis, treatment and predicting outcome in ma... Read More about Artificial intelligence in medicine.

The quintic Grassmannian g(1,4,2) in PG(9,2) (2004)
Journal Article
Shaw, R., & Gordon, N. (2004). The quintic Grassmannian g(1,4,2) in PG(9,2). Designs, codes, and cryptography, 32(1-3), 381 - 396. https://doi.org/10.1023/B%3ADESI.0000029236.10701.61

The 155 points of the Grassmannian g(1,4,2) of lines of PG(4,2) = PV(5,2) are those points x is an element of PG(9,2) = P(boolean AND V-2(5,2)) which satisfy a certain quintic equation Q(x) = 0. (The quintic polynomial Q is given explicitly in Shaw a... Read More about The quintic Grassmannian g(1,4,2) in PG(9,2).

Implicit fitting using radial basis functions with ellipsoid constraint (2004)
Journal Article
Li, Q., Wills, D., Phillips, R., Viant, W. J., Griffiths, J. G., & Ward, J. (2004). Implicit fitting using radial basis functions with ellipsoid constraint. Computer graphics forum : journal of the European Association for Computer Graphics, 23(1), 55-69. https://doi.org/10.1111/j.1467-8659.2004.00005.x

Implicit planar curve and surface fitting to a set of scattered points plays an important role in solving a wide variety of problems occurring in computer graphics modelling, computer graphics animation, and computer assisted surgery. The fitted impl... Read More about Implicit fitting using radial basis functions with ellipsoid constraint.

Wither mathematics, whither science? (2004)
Journal Article
Gordon, N. (2004). Wither mathematics, whither science?. Teaching mathematics and its applications / the Institute of Mathematics and Its Applications, 23(1), 15-32. https://doi.org/10.1093/teamat/23.1.15

This paper gives an overview of some of the problems facing the higher education mathematics community, and some examples of methods that departments of mathematics and related disciplines can use to try to deal with the problems. This is relevant to... Read More about Wither mathematics, whither science?.

Silicon pathology? (2004)
Presentation / Conference Contribution
Marshall, A., & Tompsett, B. Silicon pathology?

The Visualization System of CAD Drawing Workpiece (2003)
Journal Article
Nayonglin, Ma, X., Liu, S., & Zhang, G. (2003). The Visualization System of CAD Drawing Workpiece. Computer Simulation, 20(10), 102-104. https://doi.org/10.3969/j.issn.1006-9348.2003.10.034

This paper presents a visualization system that can complete the visualization process of CAD drawing workpieces. It introduces the four main functional modules of the visualization system: IGES file extraction and recognition, 3D reconstruction, gra... Read More about The Visualization System of CAD Drawing Workpiece.

The current opinion on the use of robots for landmine detection (2003)
Presentation / Conference Contribution
Rajasekharan, S., & Kambhampati, C. The current opinion on the use of robots for landmine detection. Presented at 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422), Taipei, Taiwan, Taiwan

Anti-Personal landmines are a significant barrier to economic and social development in a number of countries. Several sensors have been developed but each one will probably have to find, if it exists, a specific area of applicability, determined by... Read More about The current opinion on the use of robots for landmine detection.

Size exclusion chromatography and rheology of AB/AB2 hyperbranched polymers (2003)
Presentation / Conference Contribution
Kunamaneni, S., Buzza, D. M. A., Parker, D., & Feast, W. J. Size exclusion chromatography and rheology of AB/AB2 hyperbranched polymers

We report size exclusion chromatography (SEC) and linear shear rheology results for a series of AB/AB2 hyperbranched polyesters. For these samples, the weight average molecular weight Mw was systematically varied from 3000 to 250000 but the spacer le... Read More about Size exclusion chromatography and rheology of AB/AB2 hyperbranched polymers.