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该成果是CAD几何内核的核心底层技术,很大程度上决定了几何引擎的稳定性。二次曲面在CAD模型中使用最为广泛,因此二次曲面的求交在所有求交任务中被调用频次最高。由于二次曲面具有特殊的代数和几何性质,它们的求交计算一般需区别于自由曲面求交来进行特殊处理,从而充分保证算法的精度和效率。
长江大学机械工程学院2023版教学大纲。
Computing the intersection between two parametric surfaces (SSI) is one of the most fundamental problems in geometric and solid modeling. Maintaining the SSI topology is critical to its computation ro...
In this paper, we investigate the energy minimization model arising in the ensemble Kohn–Sham density functional theory for metallic systems, in which a pseudo-eigenvalue matrix and a general smearing...
Part of the motivation of this paper comes from the recent paper [W. Guo and H.-Z. Zhou, SIAM J. Control Optim., 57 (2019), pp. 1890–1928], where an adaptive control approach was used to estimate in r...
The finite-time stabilization problem is considered for a class of multi-input multi-output nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, pos...
This paper is concerned with both observability and observers for a class of systems described by the two-dimensional hyperbolic PDEs with superlinear boundary conditions which can exhibit chaos. The ...
This article studies input design of kernel-based regularization methods for linear dynamical systems, which has been formulated as a nonconvex optimization problem with the criterion being a scalar m...
In this work, we construct a novel numerical method for solving the multimarginal optimal transport problems with Coulomb cost. This type of optimal transport problem arises in quantum physics and pla...
Advertising becomes one of the most popular ways of monetizing an online transaction platform. Usually, sponsored advertisements are posted on the most attractive positions to enhance the number of cl...
Based on the perfectly matched layer (PML) technique, this paper develops a highly accurate boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media i...
This paper is devoted to studying two multiobjective problems for stochastic degenerate parabolic equations. The first one is a hierarchical control problem, in which the controls are classified into ...
In this paper, we prove that the \(L^p(\mathbb {R}^d)\) norm of the maximal truncated Riesz transform in terms of the \(L^p(\mathbb {R}^d)\) norm of Riesz transform is dimension-free for any \(2\le p<...
As a specific type of shape gradient descent algorithm, shape gradient flow is widely used for shape optimization problems constrained by partial differential equations. In this approach, the constrai...
In this paper, we investigate the new two-Lévy-index fractional nonlinear Schr?dinger (FNLS) equations with optical lattices, where two fractional derivative terms are introduced to control the diffra...

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