Research interests: computer graphics, visualization, geometric computing.
My current interest in geometric modeling is in discrete surfaces and mesh generation. Some problems I have worked on recently:
(1) Computation and classification of the intersection of quadric surfaces. See (pdf), (pdf), and (pdf). This study has led to several exact methods for continuous collision detection of moving ellipsoids and other quadric-bounded objects (pdf) and (pdf).
(2) Efficient optimization methods for shape approximation and reconstruction, including a new technique, called Squared Distance Minimization (SDM). See (pdf) and (pdf) for details.
(3) Centroidal Voronoi tessellation (pdf).
(4) Mesh surfaces with planar faces for architecture design, including quad meshes (pdf), (pdf), and hexagonal meshes (pdf)
In computer graphics my current interests are modeling in medicine and biology, scientific visualization, and real-time rendering. We have worked on a number of interdisciplinary projects that apply computer visualization technology to water environment engineering, medical science, and chemistry.
One of these projects, VISJET, has been supported by Innovative Technology Fund of the Government of Hong Kong SAR. VISJET integrates cutting-edge hydraulic and computer visualization research to develop software for effective environment impact assessment and its visualization. Visit here for more information about these projects.
Our current work on visualization for water environment management is part of Waterman project, funded by Hong Kong Jockey Club. More details here
Supervise seven Ph.D. students in the Computer Graphics Lab, and teach regularly the courses: Computer Graphics, Advanced Computer Graphics, Geometric Computing, and Scientific Computing.
Journal associate editor:
Computer Aided Geometric Design
IEEE Transactions on Visualization and Computer Graphics
Conference organization:
Conference chair, IEEE Pacific Visualization Symposium 2011, Hong Kong, March 2011
Program chair, The Eighth International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2011), Qingdao, China, June 2011
Program chair, IEEE International Conference on Shape Modeling 2009, Beijing, China, June 2009
Program chair, ACM Symposium on Solid and Physical Modeling 2006, Cardiff, UK
Program chair, Pacific Graphics 2003, Canmore, Canada, Oct. 2003
Program chair, ACM Symposium on Virtual Reality Software and Technology 2001, Banff, Canada
Program chair, Geometric Modeling and Processing 2000, Hong Kong, China, April 2000
Invited conference talks:
IEEE International Conference on Shape Modeling 2008, New York, USA, June 2008
ACM Symposium on Solid and Physical Modeling 2010, Haifa, Israel, Sept. 2010
Y. Liu, W. Wang, B. Levy, F. Sun, D.M. Yan, L. Lu and C.L. Yang, On centroidal Voronoi tessellation -- energy smoothness and fast computation, ACM Transactions on Graphics, vol. 28. no. 4, (2009), pp. 1-17.
C.H. Tu, W. Wang, B. Mourrain and J.Y Wang, Using signature sequences to classify intersection curves of two quadrics, Computer Aided Geometric Design, vol. 26, no. 3, (2009), pp. 317-335.
Y.K. Choi, J.W. Chang, W. Wang, M.S. Kim and G. Elber, Continuous collision detection for ellipsoids, IEEE Transactions on Visualization and Computer Graphics, vol. 15, no. 2, (2009), pp. 311-325.
H. Pottmann, A. Schiftner, P.B. Bo, H. Schmiedhofer, W. Wang, N. Baldassini and J. Wallner, Freeform surfaces from single curved panels, ACM Transactions on Graphics (SIGGRAPH 2008), vol. 27, no. 3, (2008).
L. Wang, C.H. Tu and W. Wang, X.X. Meng, B. Chan and D.M. Yan, Silhouette smoothing for real-time rendering of mesh surfaces, IEEE Transactions on Visualization and Computer Graphics, vol. 14. no. 3, (2008), pp. 640-652.
F. Chen, W. Wang and Y. Liu, Computing singular points of plane rational curves, Journal of Symbolic Computation, vol. 43, no. 2, (2008), pp. 92-117.
W. Wang, B. Juettler, D.Y. Zheng and Y. Liu, Computation of rotation minimizing frames, ACM Transactions on Graphics, vol. 27, no. 1, (2008).
L. Lu, Y.K. Choi, W. Wang and M.S. Kim, Variational 3D shape segmentation for bounding volume computation. Computer Graphics Forum (EuroGraphics 2007), vol. 26, no. 3, (2007).
P.B. Bo and W. Wang, Geodesic-controlled developable surfaces for modeling paper bending. Computer Graphics Forum (EuroGraphics 2007), vol. 26, no. 3, (2007).
K.S. Cheng, W. Wang, H. Qin, K-Y K. Wong, H-P Yang and Y. Liu, Design and analysis of optimization methods for subdivision surface fitting. IEEE Transactions on Visualization and Computer Graphics, vol. 13, no. 5, (2007), pp. 878 - 890.
H. Pottmann, Y. Liu, J. Wallner, A. Bobenko and W. Wang, Geometry of multi-layer freeform structures for architecture. ACM Transactions on Graphics (SIGGRAPH 2007), vol. 26, no. 3, (2007).
Y. Liu, H. Pottmann and W. Wang, Constrained 3D shape reconstruction using a combination of surface fitting and registration. Computer-Aided Design, vol. 38, no. 6, (2006), pp. 572-583.
Y. Liu, H. Pottmann, J. Wallner, Y.L. Yang and W. Wang, Geometric modeling with conical meshes and developable surfaces. ACM Transactions on Graphics (SIGGRAPH 2006), vol. 25, no. 3, (2006), pp. 681 - 689.
Y.K. Choi, W. Wang, Y. Liu and M.S. Kim, Continuous collision detection for elliptic disks, IEEE Transactions on Robotics and Automation, vol. 22. no. 2, (2006), pp. 213-224.
W. Wang, H. Pottmann and Y. Liu, Fitting B-spline curves to point clouds by curvature based squared distance minimization. ACM Transactions on Graphics, vol. 25, no. 2, (2006), 214-238.
B. Chan and W. Wang, Geocube -- GPU accelerated real-time rendering of transparency and translucency, The Visual Computer, vol. 21, no. 8-10, (2005), pp. 579-590.
K.H. Wong and W. Wang, Adaptive density estimation using orthogonal series for global illumination. Computers & Graphics, vol. 29, no. 8-10, (2005), pp. 745-762.
R. Goldman and W. Wang, Using invariants to extract geometric characteristics of conic section from rational quadratic parameterizations. International Journal of Computational Geometry and Applications, vol. 14, no. 3, (2004), pp. 161-187.
W. Wang and R. Krasauskas, Interference analysis of conics and quadrics. Topics in Algebraic Geometry and Geometric Modeling, eds. R. Goldma and R. Krasauska, AMS Contemporary Mathematics 334, (2004), pp. 25-36.
W. Wang, Y.K. Choi, B. Chan, M.S. Kim, and J.Y. Wang, Efficient collision detection for ellipsoids using separating planes. Computing, vol. 72, (2004), pp. 235-246.
B. Wang, W. Wang, H.P. Yang, and J.G. Sun, Efficient example-based painting and synthesis of 2D directional texture. IEEE Transactions on Visualization and Computer Graphics, vol.10, no. 3, (2004), pp. 266-277.
H.P. Yang, W. Wang, and J.G. Sun, Control point adjustment for B-spline curve approximation. Computer-Aided Design, vol. 36, no. 7. (2004), pp. 639-652
F. Chen and W. Wang, Revisiting the mu-basis of a rational ruled surface. Journal of Symbolic Computation, vol. 36, no. 5, (2003), pp. 699-716.
W. Wang, R. Goldman, and C.H. Tu, Enhancing Levin's method for computing quadric surface intersections. Computer Aided Geometric Design, vol. 20, no. 7, (2003), pp. 401-422.
B. Juttler and W. Wang, The shape of spherical quartics. Computer Aided Geometric Design, vol. 20, no. 8-9, (2003), pp. 621-636.
X.Q. Li, W. Wang, R. Martin, and A. Bowyer, Using low-discrepancy sequences and the Crofton formula to compute surface areas of geometric models. Computer-Aided Design, vol. 35, no. 9, (2003), pp. 771-782.
H. Chen and W. Wang, On intrinsic representations of 3D polygons for shape blending. Computers & Graphics. vol. 27, no. 1, (2003), pp. 133-141.
F. Chen and W. Wang, Computing real inflection points of cubic algebraic curves. Computer Aided Geometric Design, vol. 20, no. 2, (2003), pp. 101-117.
F. Chen and W. Wang, The mu-basis of a planar rational curve -- properties and computation. Graphical Models, vol. 64, no. 6, (2002), pp. 368-381.
W. Wang, B. Joe, and R. Goldman, Computing quadric surface intersections based on an analysis of plane cubic curves. Graphical Models, vol. 64, no. 6, (2002), pp. 335-367.
C.H. Tu, W. Wang, and J.Y. Wang, Classifying the Morphology of the Nonsingular Intersection Curves of Two Quadric Surfaces. Proceedings of Geometric Modeling and Processing 2002, pp. 23-32, IEEE CS Press.
W. Wang, Modelling and processing with quadric surfaces, Handbook of Computer Aided Geometric Design. by Elsevier, 2002, pp. 777-795.
J.Y. Wang, D.Y. Liu, and W. Wang, Computing an almost minimum set of spanning line segments of a polyhedron. International Journal of Computational Geometry and Applications. vol. 11, no. 5, (2001), pp. 475-485.
W. Wang, J.Y. Wang, and M.S. Kim, An algebraic condition on the separation of two ellipsoids. Computer Aided Geometric Design , vol. 18 (2001), pp. 531-539.
W. Wang and K. Qin, On the existence and computation of rational quartic spherical curves for Hermite Interpolation. The Visual Computer, vol. 16, no. 3/4, (2000), pp. 187-196.
W. Wang, and B. Joe, Robust computation of rotational minimizing frame for sweep surface modeling. Computer Aided Design, 29(1997), pp. 379-391.
W. Wang, B. Joe, and R. Goldman, Rational quadratic parameterizations of quadrics. Int. J. of Computational Geometry and Applications, 7(1997), pp. 599-619.
Y.M. Sun, W. Wang, and F.Y.L Chin, Interpolating polyhedral models using intrinsic shape parameters. Journal of Visualization and Computer Animation , 8(1997), pp. 81-96.
W. Wang and B. Joe, Interpolation on quadric surfaces with rational quadratic spline curves. Computer Aided Geometric Design, 14(1997), pp. 207-230.
W. Wang and B. Joe, Geometric interpretation of inversion formulas for rational plane curves. Computer Aided Geometric Design, 12(1995), pp. 469-489.
B. Joe and W. Wang, Reparameterization of rational triangular Bezier surfaces. Computer Aided Geometric Design 11(1994), pp. 345-461.
W. Wang, B. Joe, and C.Y. Wang, On the difference method for drawing conic arcs. CVGIP: Graphics Model and Image Processing 56, 1(1994), pp. 8-18.