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20232025
most citedSubdivision schemes based on weighted local polynomial regression. A new technique for the convergence analysis

7 citations · 7 across the 5 of their papers we have counts for

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5 papers

math.NA2025

Weighted least squares subdivision schemes for noisy data on triangular meshes

Costanza Conti, Sergio López-Ureña, Dionisio F. Yáñez

This paper presents and analyses a new family of linear subdivision schemes to refine noisy data given on triangular meshes. The subdivision rules consist of locally fitting and ev…

math.NA2024

Activation functions enabling the addition of neurons and layers without altering outcomes

Sergio López-Ureña

In this work, we propose activation functions for neuronal networks that are refinable and sum the identity. This new class of activation functions allows the insertion of new laye…

math.NA2024

A uniform non-linear subdivision scheme reproducing polynomials at any non-uniform grid

Sergio López-Ureña

In this paper, we introduce a novel non-linear uniform subdivision scheme for the generation of curves in , . This scheme is distinguished by its capacity to…

math.NA2023★ 7 cited

Subdivision schemes based on weighted local polynomial regression. A new technique for the convergence analysis

Sergio López-Ureña, Dionisio F. Yáñez

The generation of curves and surfaces from given data is a well-known problem in Computer-Aided Design that can be approached using subdivision schemes. They are powerful tools tha…

cs.GR2023

Towards smoother surfaces by applying subdivision to voxel data

A. Michael Stock, Sergio López-Ureña

In computed tomography, the approximation quality of a scan of a physical object is typically limited by the acquisition modalities, especially the hardware including X-ray detecto…