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GPU accelerating technique for rendering implicitly represented vasculatures (2014)
Journal Article
Hong, Q., Wang, B., Li, Q., Li, Y., & Wu, Q. (2014). GPU accelerating technique for rendering implicitly represented vasculatures. Bio-medical materials and engineering, 24(1), 1351-1357. https://doi.org/10.3233/BME-130938

With the flooding datasets of medical Computed Tomography (CT) and Magnetic Resonance Imaging (MRI), implicit modeling techniques are increasingly applied to reconstruct the human organs, especially the vasculature. However, displaying implicitly rep... Read More about GPU accelerating technique for rendering implicitly represented vasculatures.

A versatile optical model for hybrid rendering of volume data (2012)
Journal Article
Xiang, D., Yang, F., Tian, J., Cao, Y., & Li, Q. (2012). A versatile optical model for hybrid rendering of volume data. IEEE Transactions on Visualization and Computer Graphics, 18(6), 925 - 937. https://doi.org/10.1109/TVCG.2011.113

In volume rendering, most optical models currently in use are based on the assumptions that a volumetric object is acollection of particles and that the macro behavior of particles, when they interact with light rays, can be predicted based on thebeh... Read More about A versatile optical model for hybrid rendering of volume data.

Accurate geometry reconstruction of vascular structures using implicit splines (2012)
Thesis
Hong, Q. (2012). Accurate geometry reconstruction of vascular structures using implicit splines. (Thesis). University of Hull. Retrieved from https://hull-repository.worktribe.com/output/4213117

3-D visualization of blood vessel from standard medical datasets (e.g. CT or MRI) play an important role in many clinical situations, including the diagnosis of vessel stenosis, virtual angioscopy, vascular surgery planning and computer aided vascula... Read More about Accurate geometry reconstruction of vascular structures using implicit splines.

Virtual angioscopy based on implicit vasculatures (2011)
Journal Article
Hong, Q., Li, Q., & Tian, J. (2011). Virtual angioscopy based on implicit vasculatures. Lecture notes in computer science, 6785 LNCS(PART 4), 592-603. https://doi.org/10.1007/978-3-642-21898-9_49

Virtual endoscopy is among the most active areas in medical data visualization, which focuses on the simulated visualizations of specific hollow organs for the purposes of training and diagnosis. In this paper, we present a virtual angioscopy techniq... Read More about Virtual angioscopy based on implicit vasculatures.

Implicit reconstruction of vasculatures using bivariate piecewise algebraic splines (2011)
Journal Article
Hong, Q., Li, Q., & Tian, J. (2012). Implicit reconstruction of vasculatures using bivariate piecewise algebraic splines. IEEE Transactions on Medical Imaging, 31(3), 543-553. https://doi.org/10.1109/TMI.2011.2172455

Vasculature geometry reconstruction from volumetric medical data is a crucial task in the development of computer guided minimally invasive vascular surgery systems. In this paper, a technique for reconstructing the geometry of vasculatures using biv... Read More about Implicit reconstruction of vasculatures using bivariate piecewise algebraic splines.

Partial shape-preserving splines (2011)
Journal Article
Li, Q., & Tian, J. (2011). Partial shape-preserving splines. Computer aided design, 43(4), 394-409. https://doi.org/10.1016/j.cad.2011.01.007

A complex geometric shape is often a composition of a set of simple ones, which may differ from each other in terms of their mathematical representations and the ways in which they are constructed. One of the necessary requirements in combining these... Read More about Partial shape-preserving splines.

Local hybrid level-set method for MRA image segmentation (2010)
Conference Proceeding
Hong, Q., Li, Q., & Tian, J. (2010). Local hybrid level-set method for MRA image segmentation. . https://doi.org/10.1109/CIT.2010.250

In this paper, a local hybrid level-set method for medical image segmentation is presented. In proposed method, a locally fitted binary energy function is introduced into the hybrid level-set framework proposed by Zhang et al.. Compared with the glob... Read More about Local hybrid level-set method for MRA image segmentation.

Skeleton cuts-An efficient segmentation method for volume rendering (2010)
Journal Article
Xiang, D., Tian, J., Yang, F., Yang, Q., Zhang, X., Li, Q., & Liu, X. (2011). Skeleton cuts-An efficient segmentation method for volume rendering. IEEE Transactions on Visualization and Computer Graphics, 17(9), 1295-1306. https://doi.org/10.1109/tvcg.2010.239

Volume rendering has long been used as a key technique for volume data visualization, which works by using a transfer function to map color and opacity to each voxel. Many volume rendering approaches proposed so far for voxels classification have bee... Read More about Skeleton cuts-An efficient segmentation method for volume rendering.

2D piecewise algebraic splines for implicit modeling (2009)
Journal Article
Li, Q., & Tian, J. (2009). 2D piecewise algebraic splines for implicit modeling. ACM Transactions on Graphics, 28(2), Article ARTN 13. https://doi.org/10.1145/1516522.1516524

2D splines are a powerful tool for shape modeling, either parametrically or implicitly. However, compared with regular grid-based tensor-product splines, most of the high-dimensional spline techniques based on nonregular 2D polygons, such as box spli... Read More about 2D piecewise algebraic splines for implicit modeling.

Smooth piecewise polynomial blending operations for implicit shapes (2007)
Journal Article
Li, Q. (2007). Smooth piecewise polynomial blending operations for implicit shapes. Computer graphics forum : journal of the European Association for Computer Graphics, 26(2), 157-171. https://doi.org/10.1111/j.1467-8659.2007.01011.x

In this paper, we present a new set of blending operations for implicitly defined geometric shapes. The proposed shape operators are piecewise polynomial and blending range controllable, and can be constructed to any required degree of smoothness. Th... Read More about Smooth piecewise polynomial blending operations for implicit shapes.

Fuzzy geometric object modelling (2007)
Book Chapter
Li, Q., & Guo, S. (2007). Fuzzy geometric object modelling. Advances in Soft Computing; Fuzzy Information and Engineering (551-563). Berlin, Heidelberg: Spinger. https://doi.org/10.1007/978-3-540-71441-5_60

Fuzzy geometric object modelling has been one of the fundamental tasks in computer graphics. In this paper, we investigated and developed techniques for modelling fuzzy objects based on fuzzy set theory. With the proposed techniques any conventional... Read More about Fuzzy geometric object modelling.

Polygon smoothing nurbs curves and surfaces (2005)
Conference Proceeding
Li, Q. (2005). Polygon smoothing nurbs curves and surfaces. In Proceeding. Applied Simulation and Modelling (ASM 2005) (109 - 114)

In conventional spline geometric shape design, each part of a designed object always evolves the same number of con trol points. This has been a disadvantage of the spline based geometric shape design schemes as much more points than necessary may be... Read More about Polygon smoothing nurbs curves and surfaces.

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.

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., …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.

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.