Mao Shi
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View article: Counterexamples to the conjecture of the upper bound of the derivative of a rational Bézier curve
Counterexamples to the conjecture of the upper bound of the derivative of a rational Bézier curve Open
In this paper, we present counterexamples to the upper bound of the first-order derivative of rational Bézier curves and further investigate the supremum of derivatives of all orders for such curves.
View article: FinePhys: Fine-grained Human Action Generation by Explicitly Incorporating Physical Laws for Effective Skeletal Guidance
FinePhys: Fine-grained Human Action Generation by Explicitly Incorporating Physical Laws for Effective Skeletal Guidance Open
Despite significant advances in video generation, synthesizing physically plausible human actions remains a persistent challenge, particularly in modeling fine-grained semantics and complex temporal dynamics. For instance, generating gymna…
View article: On the derivatives of rational Bézier curves
On the derivatives of rational Bézier curves Open
By studying the existing higher order derivation formulas of rational Bézier curves, we find that they fail when the order of the derivative exceeds the degree of the curves. In this paper, we present a new derivation formula for rational …
View article: Degree reduction of Rational Bézier curves by hybrid optimization method
Degree reduction of Rational Bézier curves by hybrid optimization method Open
The paper addresses the problem of degree reduction of rational Bézier curves. A new optimization problem is formulated based on the weighted sum method, weighted least squares and quadratic programming. Since the new problem is a convex o…
View article: Degree Reduction of Rational Bézier Curves
Degree Reduction of Rational Bézier Curves Open
View article: Function clustering analysis method based on C-Bézier curves
Function clustering analysis method based on C-Bézier curves Open
With the development of machine learning and big data research, curve clustering analysis has become an important part of multivariate statistics. After analyzing the pros and cons of existing curve clustering methods based on polynomial b…
View article: Constrained Bernstein - Jacobi hybrid polynomial curves approximation of rational Bezier curves using reparameterization
Constrained Bernstein - Jacobi hybrid polynomial curves approximation of rational Bezier curves using reparameterization Open
View article: Influence of rotor–stator component partition structure on the aerodynamic performance of centrifugal compressors
Influence of rotor–stator component partition structure on the aerodynamic performance of centrifugal compressors Open
The partition structure (PS) between the impeller and stationary blade of a centrifugal compressor considerably influences a compressor's performance. Based on computational fluid dynamics, this study constructed a coupling calculation mod…
View article: Rational Bézier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves
Rational Bézier Curves Approximated by Bernstein-Jacobi Hybrid Polynomial Curves Open
In this paper, we propose a linear method for $C^{(r,s)}$ approximation of rational Bézier curve with arbitrary degree polynomial curve. Based on weighted least-squares, the problem be converted to an approximation between two polynomial c…
View article: A note on convergence analysis of NURBS curve when weights approach infinity
A note on convergence analysis of NURBS curve when weights approach infinity Open
This article considers the convergence of NURBS curve when weights approach infinity. We shows that limit of NURBS curve dose not exist when independent variables weights approach infinity. Further, pointwise convergence uniform convergenc…