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- Juan Gerardo Alcázar, Carlos Hermoso
- ArXiv
- 2012

Given a rational algebraic curve defined by means of a rational parametrization, we address here the problem of deterministically detecting whether the curve exhibits some kind of symmetry (central, mirror, rotation), and of computing the elements of the symmetry in the affirmative case. We provide effective methods for solving these questions without any… (More)

- Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
- Computer Aided Geometric Design
- 2014

This paper addresses the problem of determining the symmetries of a plane or space curve defined by a rational parametrization. We provide effective methods to compute the involution and rotation symmetries for the planar case. As for space curves, our method finds the involutions in all cases, and all the rotation symmetries in the particular case of… (More)

- Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
- J. Computational Applied Mathematics
- 2014

A novel and deterministic algorithm is presented to detect whether two given rational plane curves are related by means of a similarity, which is a central question in Pattern Recognition. As a by-product it finds all such similarities, and the particular case of equal curves yields all symmetries. A complete theoretical description of the method is… (More)

- Juan Gerardo Alcázar, Carlos Hermoso
- J. Computational Applied Mathematics
- 2016

- Juan Gerardo Alcázar, Carlos Hermoso
- Graphical Models
- 2016

- E A Croydon, C Hermoso
- The Journal of antimicrobial chemotherapy
- 1986

The safety and tolerance of four intravenous formulations of Timentin (ticarcillin + clavulanic acid) have been evaluated in 1659 patients (1512 adults and 147 paediatric) included in clinical trials conducted in Europe and U.S.A. Timentin 3.2 and 5.2 g were administered respectively to 877 and 635 adults and Timentin 1.6 and 2.6 g to 117 and 30 paediatric… (More)

- Juan Gerardo Alcázar, Carlos Hermoso, Jorge Caravantes, Gema María Díaz-Toca
- ACM Comm. Computer Algebra
- 2015

In Pattern Recognition, there is a vast literature concerning the question how to detect whether two curves are similar. Essentially, the problem is to recognize a certain curve as the result of applying a movement to another curve in a database. Most of the strategies proposed so far deal with curves in implicit form, and ultimately resort to numerics to… (More)

- Juan Gerardo Alcázar, Carlos Hermoso, Georg Muntingh
- ArXiv
- 2013

A novel and deterministic algorithm is presented to detect whether two given planar rational curves are related by means of a similarity, which is a central question in Pattern Recognition. As a by-product it finds all such similarities, and the particular case of equal curves yields all symmetries. A complete theoretical description of the method is… (More)

- T. Pérez de la Fuente, E. Sandoval, C. Cárcamo Hermoso, L. García Pardo
- Aesthetic Plastic Surgery
- 2014

Level of Evidence V This journal requires that authors assign a level of evidence to each article. For a full description of these Evidence-Based Medicine ratings, please refer to the Table of