supported by National Institutes of Health grant R01 CA158925
Large-scale deformations of a tubular object, or generalized cylinder, are often defined by a target shape for its center curve, typically using a parametric target curve. This task is non-trivial for free-form deform...
Project (Nos. 40905013 and 60832003) supported by the National Natural Science Foundation of China;the Shanghai Natural Science Foundation (No. 11ZR1413400);the Key Scientific Research Project of the Shanghai Education Committee (No. 12YZ007);the Open Project Program of the State Key Lab of CAD&CG,Zhejiang University (No. A1101),China
Deformation is an important research topic in graphics.There are two key issues in mesh deformation:(1) selfintersection and(2) volume preserving.In this paper,we present a new method to construct a vector field for v...
Supported by the NSFC-Guangdong Joint Fund under Grant Nos. U0735001,U0835004,U0935004;the National Basic Research 973 Program of China under Grant No. 2011CB302204
Modern computer graphics applications usually require high resolution object models for realistic rendering. However, it is expensive and difficult to deform such models in real time. In order to reduce the computatio...
Project supported by the National Natural Science Foundation of China (No. 60473106);the Hi-Tech Research and Development Program (863) of China (Nos. 2007AA01Z311 and 2007AA04Z1A5);the National Research Foundation for the Doctoral Program of Higher Education of China (No. 20060335114)
Swept volume solid modeling has been applied to many areas such as NC machining simulation and verification, robot workspace analysis, collision detection, and CAD. But self-intersections continue to be a challenging ...
The contour of the slices of SLA parts is composed of a great deal of small lines. When offsetting the contour to compensate for the radius of laser spot, many self-intersection contours come into being, which decreas...
The problem of embedding spheres in rational surfaces CP 2#n $\overline {CP} $ 2 is studied. For homology classes u = (b 1 + k, b 2,...,b n) with positive self-intersection numbers, a necessary and sufficient conditio...
Project supported by the Postdoctoral Foundation of China.
The self-intersection local time of the multi-parameter generalized Wiener processes was studied. Then the lower bound of Hausdorff measure and the Hausdorff dimension and packing dimension of k multiple time sets, th...
Let {X(t),t greater than or equal to 0} be Brownian motion on the Sierpinski gasket, E is a compact subset of [0,+infinity). In this paper, we determine when X(E) has k-multiple points and when not. We also obtain the...