Search results for "Polynomial curves"

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Uniform estimates for the X-ray transform restricted to polynomial curves

2012

We establish near-optimal mixed-norm estimates for the X-ray transform restricted to polynomial curves with a weight that is a power of the affine arclength. The bounds that we establish depend only on the spatial dimension and the degree of the polynomial. Some of our results are new even in the well-curved case.

Polynomial curvesPolynomialX-ray transformMixed normDegree (graph theory)Mathematical analysisMixed normPower (physics)Affine arclengthDimension (vector space)Mathematics - Classical Analysis and ODEsClassical Analysis and ODEs (math.CA)FOS: MathematicsRestricted X-rayAffine transformation42B25Generalized Radon transformAnalysisMathematicsJournal of Functional Analysis
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An algorithm based on the PPC (Polynomial Parametric Curve) for designing horizontal highway alignments

2015

Criteria for geometric design of highway alignments have been studied in various researches so far, providing new methods, as alternative to traditional approaches. They can be useful for obtaining better solutions, characterized by high performances in terms of motion safety and comfort. In particular, continuous curvature alignments, based on polynomial functions, are highly consistent solutions with users' driving behaviour and vehicle trajectories. Moreover, alignment geometry optimization allows engineers to minimize dynamic effects on drivers with considerable advantages in terms of comfort and safety. This paper carries on the research of a previous study, in which a polynomial param…

polynomial curvestransition curvesHighway design polynomial curves transition curvesSettore ICAR/04 - Strade Ferrovie Ed AeroportiHighway design
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