El uso de la interpolación de Bézier para la integración numérica de datos irregulares

One of the challenges in mathematics is to find the area under a curve when the usual methods of integration are not feasible. There are various approaches to deal with this problem, most of them relying on Newton-Cotes formulas, but they have some drawbacks and errors. This article presents a different method that uses Bézier interpolation to approximate the curve and calculate the area. This method has the advantage of being accurate and general, meaning that it can handle any kind of curve, even those that come from experimental data that may be irregular or noisy.

Publication Details

Journal
Dialnet (Universidad de la Rioja)
Published
2025-01-01
Primary Topic
Astrophysical Phenomena and Observations
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article
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article

El uso de la interpolación de Bézier para la integración numérica de datos irregulares

Dialnet (Universidad de la Rioja)
Astrophysical Phenomena and Observations
article

El uso de la interpolación de Bézier para la integración numérica de datos irregulares

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Abstract

One of the challenges in mathematics is to find the area under a curve when the usual methods of integration are not feasible. There are various approaches to deal with this problem, most of them relying on Newton-Cotes formulas, but they have some drawbacks and errors. This article presents a different method that uses Bézier interpolation to approximate the curve and calculate the area. This method has the advantage of being accurate and general, meaning that it can handle any kind of curve, even those that come from experimental data that may be irregular or noisy.

Dialnet (Universidad de la Rioja)
Openalex Percentile: Top 50%
Astrophysical Phenomena and Observations
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El uso de la interpolación de Bézier para la integración numérica de datos irregulares · Dialnet (Universidad de la Rioja) (2025) | TGRS Research Map | TGRS