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Interactive Design of Cubic IPH Spline Curves
Indirect Pythagorean hodographs (IPH) spline curves are a set of curves which have rational Pythagorean hodographs after reparameterization by a...
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On Triple Lines and Cubic Curves: The Orchard Problem Revisited
Planar point sets with many triple lines (which contain at least three distinct points of the set) have been studied for 180 years, started with...
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Orthogonal Polynomials on Planar Cubic Curves
Orthogonal polynomials in two variables on cubic curves are considered. For an integral with respect to an appropriate weight function defined on a...
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Discriminants of cubic curves and determinantal representations
The discriminant of a smooth plane cubic curve over the complex numbers can be written as a product of theta functions. This provides an important...
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The Truncated Moment Problem on Reducible Cubic Curves I: Parabolic and Circular Type Relations
In this article we study the bivariate truncated moment problem (TMP) of degree 2 k on reducible cubic curves. First we show that every such TMP is...
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Constructing cubic curves with involutions
In 1888, Heinrich Schroeter provided a ruler construction for points on cubic curves based on line involutions. Using Chasles’ Theorem and the...
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Conversion Between Cubic Bezier Curves and Catmull–Rom Splines
Splines are one of the main methods of mathematically representing complicated shapes, which have become the primary technique in the fields of...
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Closed-form solution of a class of generalized cubic B-splines
Using the Blossom method in the quasi extended Chebyshev space, we first construct a class of generalized cubic Bernstein functions in the...
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A Comparative Analysis of Different Basis Functions for Constructing Bézier Curves
In this paper, comparison among four distinct basis functions is conducted to generate trigonometric Bézier curves. The procedure calls for the use...
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Qualitative dynamics of five quadratic polynomial differential systems exhibiting five classical cubic algebraic curves
This article is devoted to classify the dynamics of five quadratic differential systems exhibiting five known different cubic invariant algebraic...
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Elliptic Curves over the Rationals
This chapter covers prerequisites on elliptic curves over $$\mathbb...
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The assessment of risk factors for postoperative delirium using cubic spline curves in gastroenterological surgery
PurposeDelirium is associated with longer hospital stays and increased medical costs and mortality. This study explored the risk factors for...
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Curve intersection based on cubic hybrid clip**
This study presents a novel approach to computing all intersections between two Bézier curves using cubic hybrid clip**. Each intersection is...
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Stable Ulrich bundles on cubic fourfolds
In this paper, we examine the presence of Ulrich bundles on cubic fourfolds. We establish necessary and sufficient conditions for the existence of...
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Leveraging crystal symmetry for thermoelectric performance optimization in cubic GeSe
In thermoelectrics, the manipulation of crystal symmetry is instrumental in optimizing the electrical and thermal transport parameters. Within this...
