Least squares ellipsoid specific fitting (2004)
Conference Proceeding
Li, Q., & Griffiths, J. (2004). Least squares ellipsoid specific fitting. In Geometric Modeling and Processing, 2004. Proceedings (335 - 340). https://doi.org/10.1109/gmap.2004.1290055

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)
Conference Proceeding
Li, Q., & Phillips, R. (2004). Implicit curve and surface design using smooth unit step functions. In SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications (237 - 242)

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.

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.

Registration techniques for computer assisted orthopaedic surgery (2002)
Thesis
Li, Q. (2002). Registration techniques for computer assisted orthopaedic surgery. (Thesis). University of Hull. Retrieved from https://hull-repository.worktribe.com/output/4218310

The registration of 3D preoperative medical data to patients is a key task in developing computer assisted surgery systems. In computer assisted surgery, the patient in the operation theatre must be aligned with the coordinate system in which the pre... Read More about Registration techniques for computer assisted orthopaedic surgery.

Iterative closest geometric objects registration (2000)
Journal Article
Li, Q., & Griffiths, J. G. (2000). Iterative closest geometric objects registration. Computers & mathematics with applications, 40(10-11), 1171-1188. https://doi.org/10.1016/s0898-1221%2800%2900230-3

In this paper, closed-form solutions are obtained for registering two sets of line segments, triangle patches, or even general simple geometric objects that are defined by a set of ordered points. Based on these new registration approaches, the itera... Read More about Iterative closest geometric objects registration.

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 about A subdivision-based implementation of non-uniform local refinement with THB-splines.