We introduce CURDIS,a template for algorithms to discretize arcs of regular curves by incrementally producing a list of support pixels covering the arc.In this template,algorithms proceed by finding the tangent quadra...
We analyze the configurations of conics and lines on a special class of Kummer octic surfaces. In particular, we bound the number of conics by 176 and show that there is a unique surface with 176 conics, all irreducib...
In this paper,based on the mean value theorem of differential,a new method of generating conics such as circles and parabolas is given,and the related algorithm for generating conics is designed.
We get sharp degree bound for generic smoothness and connectedness of the space of lines and conics in low degree complete intersections which generalizes the old work about Fano scheme of lines on hypersurfaces.As a ...
The n-ary subdivision schemes contrast favorably with their binary analogues because they are capable to produce limit functions with the same (or higher) smoothness but smaller support. We present an algorithm to gen...
the National Basic Research Program (973) of China(No.2011CB302203);the National Natural Science Foundation of China(No.60833009)
In this paper, we introduce a novel class of coplanar conics, the pencil of which can doubly contact to calibrate camera and estimate pose. We first analyze the properties of con-axes and con-eccentricity ellipses, wh...
Supported by the National Natural Science Foundations of China(61070065, 60933007);the Zhejiang Provincial Natural Science Foundation of China(Y6090211)
In CAGD, the Said-Ball representation for a polynomial curve has two advantagesover the B′ezier representation, since the degrees of Said-Ball basis are distributed in a step type.One advantage is that the recursive ...
supported by the National Natural Science Foundation of China(Grant No.10702078);the Pre-research Foundation of National University of Defense Technology(Grant No.JC08-01-05)
The Double Lunar-Swingby(DLS)periodic trajectory is a type of large-scale trajectory in Restricted Three-Body Problem framework.First,the principium of the DLS periodic trajectory is studied,and a preliminary design o...
supported by the National Natural Science Foundation of China (Nos.60873111 and 60933007);the Natural Science Foundation of Zhejiang Province,China (No.Y6090211)
A DP curve is a new kind of parametric curve defined by Delgado and Pena (2003); Jt has very good properties when used in both geometry and algebra, i.e., it is shape preserving and has a linear time complexity for ...
The necessary and sufficient conditions are presented for NURBS currves of an arbitrary degree to precisely represent circular arcs. NURBS curves of degree 2 or degree 3 representing circular arcs can be regarded as s...