Lucia Romani

Orcid: 0000-0002-3294-3228

According to our database1, Lucia Romani authored at least 61 papers between 2004 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
On G1 and G2 Hermite interpolation by spatial Algebraic-Trigonometric Pythagorean Hodograph curves with polynomial parametric speed.
Appl. Math. Comput., December, 2023

Guest Editorial: Proceedings of SPM 2023 Symposium.
Comput. Aided Des., November, 2023

2022
Construction and Evaluation of Pythagorean Hodograph Curves in Exponential-Polynomial Spaces.
SIAM J. Sci. Comput., 2022

Editorial In Memoriam Luc Wuytack.
J. Comput. Appl. Math., 2022

A practical method for computing with piecewise Chebyshevian splines.
J. Comput. Appl. Math., 2022

Annihilation operators for exponential spaces in subdivision.
Appl. Math. Comput., 2022

Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes.
Adv. Comput. Math., 2022

2021
Active Subdivision Surfaces for the Semiautomatic Segmentation of Biomedical Volumes.
IEEE Trans. Image Process., 2021

Construction and evaluation of PH curves in exponential-polynomial spaces.
CoRR, 2021

Planar class A Bézier curves: The case of real eigenvalues.
Comput. Aided Geom. Des., 2021

GMP2021 - 15th International Conference on Geometric Modeling and Processing.
Comput. Aided Geom. Des., 2021

G2∕C1 Hermite interpolation by planar PH B-spline curves with shape parameter.
Appl. Math. Lett., 2021

Creating a bridge between cardinal Br-spline fundamental functions for interpolation and subdivision.
Appl. Math. Comput., 2021

2020
Convergence analysis of corner cutting algorithms refining nets of functions.
Math. Comput. Simul., 2020

On the reconstruction of discontinuous functions using multiquadric RBF-WENO local interpolation techniques.
Math. Comput. Simul., 2020

Optimal Hölder-Zygmund exponent of semi-regular refinable functions.
J. Approx. Theory, 2020

Spatial Pythagorean-Hodograph B-Spline curves and 3D point data interpolation.
Comput. Aided Geom. Des., 2020

On the refinement matrix mask of interpolating Hermite splines.
Appl. Math. Lett., 2020

2019
Edge detection methods based on RBF interpolation.
J. Comput. Appl. Math., 2019

SMART 2017 - Second conference on subdivision, geometric and algebraic methods, isogeometric analysis and refinability in ITaly.
J. Comput. Appl. Math., 2019

Dual Univariate Interpolatory Subdivision of Every Arity: Algebraic Characterization and Construction.
CoRR, 2019

A merged tuning of binary and ternary Loop's subdivision.
Comput. Aided Geom. Des., 2019

Local cardinal interpolation by C2 cubic B2-splines with a tunable shape parameter.
Appl. Math. Lett., 2019

Interpolating <i>m</i>-refinable functions with compact support: The second generation class.
Appl. Math. Comput., 2019

Algebraic-Trigonometric Pythagorean-Hodograph space curves.
Adv. Comput. Math., 2019

Normal-Based Interpolating Subdivision for the Geometric Representation of Deformable Models.
Proceedings of the 16th IEEE International Symposium on Biomedical Imaging, 2019

2018
Semi-automatic spline fitting of planar curvilinear profiles in digital images using the Hough transform.
Pattern Recognit., 2018

On the interpolating 5-point ternary subdivision scheme: A revised proof of convexity-preservation and an application-oriented extension.
Math. Comput. Simul., 2018

2017
A non-stationary subdivision scheme for the construction of deformable models with sphere-like topology.
Graph. Model., 2017

Planar Pythagorean-Hodograph B-Spline curves.
Comput. Aided Geom. Des., 2017

2016
Approximation order and approximate sum rules in subdivision.
J. Approx. Theory, 2016

Complete characterization of the regions of C<sup>2</sup> and C<sup>3</sup> convergence of combined ternary 4-point subdivision schemes.
Appl. Math. Lett., 2016

Improving smoothness and accuracy of Modified Butterfly subdivision scheme.
Appl. Math. Comput., 2016

2015
Building blocks for designing arbitrarily smooth subdivision schemes with conic precision.
J. Comput. Appl. Math., 2015

A Chaikin-based variant of Lane-Riesenfeld algorithm and its non-tensor product extension.
Comput. Aided Geom. Des., 2015

On extraordinary rules of quad-based interpolatory subdivision schemes.
Comput. Aided Geom. Des., 2015

2014
Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix.
Numerische Mathematik, 2014

Algebraic-Trigonometric Pythagorean-Hodograph curves and their use for Hermite interpolation.
Adv. Comput. Math., 2014

Exponential Hermite splines for the analysis of biomedical images.
Proceedings of the IEEE International Conference on Acoustics, 2014

2013
"Multivariate Approximation: Theory and Applications".
J. Comput. Appl. Math., 2013

Construction and characterization of non-uniform local interpolating polynomial splines.
J. Comput. Appl. Math., 2013

Non-uniform non-tensor product local interpolatory subdivision surfaces.
Comput. Aided Geom. Des., 2013

A smoothness criterion for monotonicity-preserving subdivision.
Adv. Comput. Math., 2013

A constructive algebraic strategy for interpolatory subdivision schemes induced by bivariate box splines.
Adv. Comput. Math., 2013

2012
G<sup>1</sup> rational blend interpolatory schemes: A comparative study.
Graph. Model., 2012

Interpolatory blending net subdivision schemes of Dubuc-Deslauriers type.
Comput. Aided Geom. Des., 2012

Convexity preserving interpolatory subdivision with conic precision.
Appl. Math. Comput., 2012

2011
Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction.
J. Comput. Appl. Math., 2011

Polynomial-based non-uniform interpolatory subdivision with features control.
J. Comput. Appl. Math., 2011

A comparison of local parametric C<sup>0</sup> Bézier interpolants for triangular meshes.
Comput. Graph., 2011

From approximating to interpolatory non-stationary subdivision schemes with the same generation properties.
Adv. Comput. Math., 2011

2010
A circle-preserving C<sup>2</sup> Hermite interpolatory subdivision scheme with tension control.
Comput. Aided Geom. Des., 2010

A unified framework for interpolating and approximating univariate subdivision.
Appl. Math. Comput., 2010

Solving Bezout-like polynomial equations for the design of interpolatory subdivision schemes.
Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2010

2009
Shape controlled interpolatory ternary subdivision.
Appl. Math. Comput., 2009

2008
Approximation of surfaces with fault(s) and/or rapidly varying data, using a segmentation process, <i>D</i> <sup> <i>m</i> </sup>-splines and the finite element method.
Numer. Algorithms, 2008

2007
An interpolating 4-point C<sup>2</sup> ternary non-stationary subdivision scheme with tension control.
Comput. Aided Geom. Des., 2007

A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics.
Comput. Aided Geom. Des., 2007

Surface approximation with faults: application to geophysical surfaces.
Proceedings of the IEEE International Geoscience & Remote Sensing Symposium, 2007

2006
The mixed directional difference-summation algorithm for generating the Bézier net of a trivariate four-direction Box-spline.
Numer. Algorithms, 2006

2004
The conversion matrix between uniform B-spline and Be'zier representations.
Comput. Aided Geom. Des., 2004


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