All Outputs (29)

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.

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.

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.

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.

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.