9 citations · 9 across the 5 of their papers we have counts for
6 papers
On the First Derivative Bounds for Rational Bézier Curves
Mao Shi
In this paper we investigate sharp upper bounds for the first derivative of rational Bézier curves. A long-standing conjecture posited that the linear bound $\|\mathbf{R}'(t)\| \le…
Counterexamples to a Conjecture on First Derivative Bounds of Rational Bézier Curves
Mao Shi
In this paper we present an explicit counterexample of degree , which shows that the conjecture proposed by Li et al. \cite{Li2013} regarding the first derivative bounds for r…
On the derivatives of rational Bézier curves
Mao Shi
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 th…
Powers of the theta divisor and relations in the tautological ring
Emily Clader, Samuel Grushevsky, Felix Janda +1
We show that the vanishing of the -st power of the theta divisor in the cohomology and Chow rings of the universal abelian variety implies, by pulling back along a collectio…
A note on convergence analysis of NURBS curve when weights approach infinity
Mao Shi
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…
Degree reduction of disk rational Bézier curves
Mao Shi
How to quickly and stably realize the degree reduction of the rational Bezier curve is an open problem in CAGD. Based on the weighted least squares method and weighted sum method o…