supported in part by the National Natural Science Foundation of China under Grant No.61972368。
Surface/surface intersection is a fundamental problem in Compute Aided Design and Geometric Modeling since it is essential to solid modeling,numerically controlled machining,feature recognition,computer animation,etc....
Supported by National Natural Science Foundation of China(Grant No.12171140).
In this paper,we revisit the Kahler structures on the affine quadrics M1={z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=1}in the paper by Bo Yang and Fang-Yang Zheng.We found that the Kahler structures on the complex surface are more...
supported by ZJNSF(LY19A010011);NSFC(11971141,12371017);supported by NSFC(11971449,12131015,12371042).
A Clifford deformation of a Koszul Frobenius algebra E is a finite dimensional Z_(2)-graded algebra E(θ),which corresponds to a noncommutative quadric hypersurface E^(!)/(z)for some central regular element z∈E_(2)^(...
supported by NSFC Grant(Grant Nos.11890662 and 11831017);supported by NSFC Grant(Grant Nos.12271532 and 11831017);supported by NSFC Grant(Grant No.11831017);Guangdong Introducing Innovative and Enterpreneurial Teams(Grant No.2017ZT07X355);supported by Guangdong Basic and Applied Basic Research Foundation(Grant No.2020A1515010876)。
We propose a conjecture relevant to Galkin’s lower bound conjecture,and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane.We also show that Conjecture O holds in these tw...
supported by the National Natural Science Foundation of China under Grant Nos.11271328and 11571338;the Zhejiang Provincial Natural Science Foundation under Grant No.Y7080068
This paper proposes an improved algorithm to construct moving quadrics from moving planes that follow a tensor product surface with no base points, assuming that there are no moving planes of low degree following the ...
Quadrics are a compact mathematical formulation for a range of primitive surfaces. A problem arises when there are not enough data points to compute the model but knowledge of the shape is available. This paper presen...
The current attempt is aimed to outline the geometrical framework of a well known statistical problem, concerning the explicit expression of the arithmetic mean standard deviation distribution. To this respect, after ...
supported by the project VSHMOD-2009 ANR-09-BLAN-0104-01
We study the geometry and the period map of nodal complex prime Fano threefolds with index 1 and degree 10.We show that these threefolds are birationally isomorphic to Verra threefolds,i.e.,hypersurfaces of bidegree (...
supported by the Research Grants Council of the Hong Kong Special Administrative Region, China(Grant No. CityU 1184/06E);the National Science Foundation of China (Grant No. 60904070);the National Basic Research Program of China (Grant No. G2004CB318000)
A method of blending circular quadrics with parametric patches is proposed in this paper. It needs n rational bi-cubic Bezier patches and two S-patches to blend n (n 〉 2) quadrics. Bi-cubic rational Bezier patches ...