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A 3D cephalometric protocol for the accurate quantification of the craniofacial symmetry and facial growth (2019)
Journal Article
Pinheiro, M., Ma, X., Fagan, M. J., McIntyre, G. T., Lin, P., Sivamurthy, G., & Mossey, P. A. (2019). A 3D cephalometric protocol for the accurate quantification of the craniofacial symmetry and facial growth. Journal of Biological Engineering, 13(1), https://doi.org/10.1186/s13036-019-0171-6

© 2019 The Author(s). Background: Cephalometric analysis is used to evaluate facial growth, to study the anatomical relationships within the face. Cephalometric assessment is based on 2D radiographic images, either the sagittal or coronal planes and... Read More

Towards additive manufacturing oriented geometric modeling using implicit functions (2018)
Journal Article
Li, Q., Hong, Q., Qi, Q., Ma, X., Han, X., & Tian, J. (2018). Towards additive manufacturing oriented geometric modeling using implicit functions. Visual Computing for Industry, Biomedicine, and Art, 1(1), doi:10.1186/s42492-018-0009-y

Surface-based geometric modeling has many advantages in terms of visualization and traditional subtractive manufacturing using computer-numerical-control cutting-machine tools. However, it is not an ideal solution for additive manufacturing because t... Read More

Surface fitting for quasi scattered data from coordinate measuring systems (2018)
Journal Article
Mao, Q., Liu, S., Wang, S., & Ma, X. (2018). Surface fitting for quasi scattered data from coordinate measuring systems. Sensors, 18(1), 214. doi:10.3390/s18010214

Non-uniform rational B-spline (NURBS) surface fitting from data points is wildly used in the fields of computer aided design (CAD), medical imaging, cultural relic representation and object-shape detection. Usually, the measured data acquired from co... Read More

T-spline based unifying registration procedure for free-form surface workpieces in intelligent CMM (2017)
Journal Article
Han, Z., Wang, Y., Ma, X., Liu, S., Zhang, X., & Zhang, G. (2017). T-spline based unifying registration procedure for free-form surface workpieces in intelligent CMM. Applied Sciences, 7(10), 1092. doi:10.3390/app7101092

With the development of the modern manufacturing industry, the free-form surface is widely used in various fields, and the automatic detection of a free-form surface is an important function of future intelligent three-coordinate measuring machines (... Read More

Digital three-dimensional automation of the modified Huddart and Bodenham scoring system for patients with cleft lip and palate (2017)
Journal Article
Ma, X., Martin, C., McIntyre, G., Lin, P., & Mossey, P. (2017). Digital three-dimensional automation of the modified Huddart and Bodenham scoring system for patients with cleft lip and palate. Cleft Palate-Craniofacial Journal, 54(4), (481-486). doi:10.1597/15-340. ISSN 1055-6656

© Copyright 2017 American Cleft Palate-Craniofacial Association. Objective: The modified Huddart and Bodenham scoring system assesses maxillary arch constriction and surgical outcomes in cleft lip and palate. This project automates modified Huddart a... Read More

The validity and reliability of an automated method of scoring dental arch relationships in unilateral cleft lip and palate using the modified Huddart-Bodenham scoring system (2016)
Journal Article
Mossey, P. A., Chalmers, E. V., McIntyre, G. T., Martin, C. B., Ma, X., Martin, C., …Wang, W. (2016). The validity and reliability of an automated method of scoring dental arch relationships in unilateral cleft lip and palate using the modified Huddart-Bodenham scoring system. European Journal of Orthodontics, 38(4), 353-358. doi:10.1093/ejo/cjw031

Objective: To evaluate an automated software tool for the assessment of dental arch relationships using the modified Huddart and Bodenham index. Design: Cohort of 43 models of subjects aged 9-21 with UCLP and the ten GOSLON reference models sets. Met... Read More

Subdivision surface fitting to a dense mesh using ridges and umbilics (2014)
Journal Article
Kosinka, J., Ma, X., Jiang, Y., Keates, S., & Kosinka, J. (2015). Subdivision surface fitting to a dense mesh using ridges and umbilics. Computer aided geometric design, 32(January), (5-21). doi:10.1016/j.cagd.2014.10.001. ISSN 0167-8396

Fitting a sparse surface to approximate vast dense data is of interest for many applications: reverse engineering, recognition and compression, etc. The present work provides an approach to fit a Loop subdivision surface to a dense triangular mesh of... Read More

Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity (2011)
Journal Article
Ainsworth, M., & Ma, X. (2012). Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity. Journal of Computational Physics, 231(2), 436-453. https://doi.org/10.1016/j.jcp.2011.09.011

The present work provides a straightforward and focused set of tools and corresponding theoretical support for the implementation of an adaptive high order finite element code with guaranteed error control for the approximation of elliptic problems i... Read More

Shape preserving data reduction for 3D surface points (2011)
Journal Article
Ma, X., & Cripps, R. J. (2011). Shape preserving data reduction for 3D surface points. Computer aided design, 43(8), 902-909. https://doi.org/10.1016/j.cad.2011.03.006

In reverse engineering, vast amounts of point data captured by certain types of scanners significantly increase the complexity and reduce the efficiency in downstream activities, such as surface modelling and manufacturing. Data reduction has therefo... Read More

Estimation of end curvatures from planar point data (2007)
Book Chapter
Ma, X., & Cripps, R. J. (2007). Estimation of end curvatures from planar point data. In R. Martin, M. Sabin, & J. Winkler (Eds.), Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-73843-5_19

Given a string of discrete planar points, the estimation of principal curvature vectors using circle fitting and Richardson’s extrapolation principle has been considered by several authors. However, these methods can not be directly applied to end po... Read More

Towards the Intelligent CMM (2002)
Journal Article
Zhang, G., Liu, S., Ma, X., Wang, J., Wu, Y., & Li, Z. (2002). Towards the Intelligent CMM. CIRP Annals - Manufacturing Technology, 51(1), 437-442. https://doi.org/10.1016/s0007-8506%2807%2961555-8

‘Intelligent’ CMMs are likely to become the next generation of CMMs. In this paper the main features of an intelligent CMM are proposed. In operation, the geometric and measuring information of the part would be extracted from its CAD file. A measuri... Read More

A subdivision-based implementation of non-uniform local refinement with THB-splines
Conference Proceeding
Li, Q., Ma, X., Cripps, R., & Lin, P. A subdivision-based implementation of non-uniform local refinement with THB-splines

Paper accepted for 15th IMA International Conference on Mathematics on Surfaces, 2017. Abstract: Local refinement of spline basis functions is an important process for spline approximation and local feature modelling in computer aided design (CAD). T... Read More