CONICS

作品数:10被引量:5H指数:2
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相关领域:理学自动化与计算机技术更多>>
相关期刊:《虚拟现实与智能硬件(中英文)》《Tsinghua Science and Technology》《Journal of Electronic Research and Application》《Science China Mathematics》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划更多>>
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CURDIS:A template for incremental curve discretization algorithms and its application to conics
《虚拟现实与智能硬件(中英文)》2024年第5期358-382,共25页Philippe LATOUR Marc VAN DROOGENBROECK 
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...
关键词:Computer graphics Curve discretization CONICS RASTERIZATION Ellipse drawing Conic spline Conic pencil 
Conics on Barth-Bauer octics
《Science China Mathematics》2024年第7期1507-1524,共18页Alex Degtyarev 
supported by TÜBİTAK(Grant No.118F413).
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...
关键词:K3-surface octic surface Kummer surface CONIC Mukai group 
A New Method for Generating Conics
《Journal of Electronic Research and Application》2024年第3期125-128,共4页Chengzhi Guo 
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.
关键词:Conic curve DIFFERENTIAL GENERATE ALGORITHM 
On the Space of Conics on Complete Intersections
《Communications in Mathematics and Statistics》2014年第1期33-45,共13页Hong R.Zong 
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 ...
关键词:Rational curves Fano varieties Cycles 
A Family of 4-Point <i>n</i>-Ary Interpolating Scheme Reproducing Conics
《American Journal of Computational Mathematics》2013年第3期217-221,共5页Mehwish Bari Ghulam Mustafa 
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...
关键词:Interpolation NON-STATIONARY Univariate Ternary Refinement CONTINUITY CONIC Section 
Analysis of the Pencil of Conics with Double Complex Contact and Its Application to Camera Calibration被引量:1
《Journal of Shanghai Jiaotong university(Science)》2013年第1期1-6,共6页蔡琴 王宸昊 阎炎 刘允才 
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...
关键词:camera calibration HOMOGRAPHY con-axes and con-eccentricity ellipse concentric circle polynomial optimization problem (POP) 
Rational cubic/quartic Said-Ball conics被引量:2
《Applied Mathematics(A Journal of Chinese Universities)》2011年第2期198-212,共15页HU Qian-qian WANG Guo-jin 
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 ...
关键词:Rational Said-Ball curve Rational B′ezier curve conics. 
Solution space analysis of Double Lunar-Swingby periodic trajectory被引量:2
《Science China(Technological Sciences)》2010年第8期2081-2088,共8页LUO ZongFu ,MENG YunHe&TANG GuoJian College of Aerospace and Material Engineering,National University of Defense Technology,Changsha 410073,China 
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...
关键词:DOUBLE Lunar-Swingby patched CONICS SOLUTION space analysis ORBIT design PERIODIC ORBIT 
Representing conics by low degree rational DP curves
《Journal of Zhejiang University-Science C(Computers and Electronics)》2010年第4期278-289,共12页Qian-qian HU Guo-jin WANG 
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 ...
关键词:Conic sections Bernstein basis DP basis Rational low degree Bezier curves Rational low degree DP curves 
Representing Conics Using NURBS Curves
《Tsinghua Science and Technology》1998年第2期63-69,共7页秦开怀 关右江 
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...
关键词:NURBS curve CONIC circular arc 
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