Geometria aplicada  (Geometría Aplicada - Applied Geometry)

Nom - Acronim: Geometria Aplicada - GEOMETRY

Adreça: Av. Universitat, s/n (Reus - 43204)

Correu-e: blas.herrera@urv.cat

Paraules Clau:  Anàlisi Geomètric d'Elements Arquitectònics; Geometria Aplicada. 

Àmbit temàtic: Geometria / Arquitectura

Equip investigador

Dr. Blas Herrera, Sc.D.  blas.herrera@urv.cat. Responsable del grup, Titular d'Universitat, Geòmetra, Acreditat Catedràtic d'Universitat.

Dr. Genaro González, Ph.D.  genaro.gonzalez@urv.cat. Titular d'Universitat, Arquitecte.


Dr. Albert Samper
, Ph.D.  albert.samper@urv.cat. Lector S.H., Arquitecte, Acreditat Agregat, Acreditat Titular d'Universitat.

Dr. Rodrigo Martín-Sáiz, Ph.D. rodrigo.martin@urv.cat. Arquitecte.

Línies de Recerca i Resum de l'Activitat

1.- Anàlisi geomètric d'elements arquitectònics.

2.- Geometria aplicada.

Publicacions de Recerca en Revistes Internacionals    

60.-  Tran Q.H., Herrera B., (accepted 2024). n-dimensional generalizations of a Thébault conjecture. Mathematical Notes. **(*), **-**.
First Page. Link of the paper.

59.-
  Samper A., Moreno-García D., Herrera B., (2024 fisrt on line). Study of the effects created by the sunlight passing through the rose windows of Mallorca cathedral. Nexus Network Journal. *(*), **-**.
First Page. Link of the paper.

58.-
  González G., Herrera B., (2023). Stone sawing machine at the Temple of Artemis in Jerash, Jordan. DYNA. 90(229), 35-44.
First Page. Link of the paper.

57.-
  Martín-Sáiz R., Herrera B., (2023 first on line). Parametric design of triangulated tensile spoke-wheels with bi-convex profile for roof structures on elliptical stadium stands. Hormigón y Acero. *(*), **-**.
First Page. Link of the paper.

56.-
  Herrera B., Tran Q.H., (2023). On the radical center of four spheres. Resonance. 28(8), 1263-1279.
First Page. Link of the paper.

55.-
  Samper A., Martín-Sáiz R., Moreno-García D., (2023 fisrt on line). Study on the mechanical capacity and structural relevance of a flying buttress through the analysis of a particular case. International Journal of Architectural Heritage. *(*), **-**.
First Page. Link of the paper.

54.-
  Samper A., Moreno-García D., Herrera B., (2023). Light effects of the rose windows in Mallorca cathedral. Nexus Network Journal. 25, 63-70.
First Page. Link of the paper.

53.-
  Samper A., Herrera B., (2023). Graphical projection of the daily orbit of the star Sirius on the pavement of Saint Peter's square. European Journal of Science and Theology. 19(1), 131-143.
First Page. Link of the paper.

52.-
  Samper A., Martín-Sáiz R., Herrera B., (2022). On the inclination of a flying buttress arch. Nexus Network Journal. 24, 897-911.
First Page. Link of the paper.

51.-
  Herrera B., Tran Q.H., (2022). An analogue of Thébault's theorem linking the radical center of four spheres with the insphere and the Monge point of a tetrahedron. International Electronic Joutnal of Geometry. 15(1), 75-78.
First Page. Link of the paper.

50.-
  Samper A., Herrera B., Costa-Jover A., (2022). Systematic calculation of flying buttress parameters by means of geometric regression. Journal of Cultural Heritage. 54, 21-30.
First Page. Link of the paper.

49.-
  Samper A., Herrera B., (2021). Graphic and analytical description of the helicoidal columns of the Lonjas of Palma de Mallorca and Valencia. EGA Expresión Gráfica Arquitectónica. 26(43), 82-95.
First Page. Link of the paper.

48.-
  González G., Samper A., Herrera B., (2021). Acoustic simulation of the central hall in palau Güell by Gaudí. Architecture and Engineering. 6(2), 18-30.
First Page. Link of the paper.

47.-
  Saffari N., Rahswan HA., Abdel-Nasser M., Singh VK., Arenas M., Mangina E., Herrera B., Puig D., (2020). Fully automated breast density segmentation and classification using deep learning. Diagnostics: Machine learning and Artificial intelligence. 10(11), 988.
First Page. Link of the paper.

46.-
   Samper A., Iglesias J., Herrera B., Pallarés J., (2020). Flow analysis of a set of ornamental chimney caps designed by Antony Gaudí. Heritage Science. 8(3), 1-10.
First Page. Link of the paper.

45.-
   Cortés A., Samper A., Herrera B., González G., (2020). Geometrical review of the dome in Palau Güell. Informes de la Construcción. 72(558), e335.
First Page. Link of the paper.

44.-
   Herrera B., Samper A., Seguí JM., (2019). Justification about the existence and location of Chartres' cathedral labyrint based on astronomy and geometry. Cogent Arts & Humanities. 6, 1631021.
First Page. Link of the paper.

43.-
   Cortés A., Samper A., Herrera B., (2019). Geometric determination of the hyperbolic paraboloids of the vaults in the entrance porch to the Crypt of the Colònia Güell by Antoni Gaudí. Informes de la Construcción. 71(554), e295.
First Page. Link of the paper.

42.-
   Herrera B., (2018). Algebraic equations of all involucre conics in the configuration of the c-inscribed equilateral triangles of a triangle. Forum Geometricorum. 18, 223-238.
First Page. Link of the paper.

41.-   González G., Samper A., Herrera B., (2018). Classification by type of the arches in Gaudí's palau Güell. Nexus Network Journal. 20, 173-186.
First Page. Link of the paper.

40.-
   Samper A., González G., Herrera B., (2017). Determination of the geometric shape which best fits an architectural arch within the conical curve types and hyperbolic-cosine curve types: the case of Palau Güell by Antoni Gaudí. Journal of Cultural Heritage. 25, 56-64.
First Page. Link of the paper.

39.-
   Herrera B., Samper A., (2017).  Generating infinite links as periodic tilings of the da Vinci - Dürer's knotsThe Mathematical Intelligencer. 39(3), 18-23.
First Page. Link of the paper.

38.-   Herrera B., Samper A., (2016).  Eight-centered oval quasi-equivalent to Kepler's ellipse of planets' trajectory. Revista Cubana de Física. 31(1), 32-36.
First Page. Link of the paper.

37.-
   Seguí JM., Samper A.Herrera B. (2016).  Correlation between Chartres cathedral and the catasterism of ancient virgin goddesses. European Journal of Science and Theology. 12(6), 55-72.
First Page. Link of the paper.

36.-
   Herrera B., Pallarés J., Reventós A. (2016).  Geometric characterization of the rotation centers of a particle in a flow. Note di Matematica. 36(2), 37-47.
First Page. Link of the paper.

35.-   Lluis-i-Ginovart J., Samper A., Coll S., Costa A., (2017).  El trazado del Icosakaidígono en el clypeus Jupiter -Ammon de Tarragona (S.I) y la faz de cristo del rosetón de la catedral de Orvieto (s.XIV). Informes de la construcción. 69(549), e173.
First Page. Link of the paper.

34.-
   Lluis-i-Ginovart J., Samper A., Herrera B., Costa A., Coll S. (2016).  Geometry of the Icosikaidigon in Orvieto Cathedral. Nexus Network Journal. 18(2), 419-438.
First Page. Link of the paper.

33.-
  Samper A., Herrera B. (2016).  A study of the Roughness of Gothic rose windows. Nexus Network Journal. 18(2), 397-417.
First Page. Link of the paper.

32.-
   Herrera B., Samper A. (2015).  Definition and Calculation of an Eight-Centered Oval which is Quasi-Equivalent to the Ellipse. Journal for Geometry and Graphics. 19(2), 257-268.
First Page. Link of the paper.

31.-   Herrera B. (2015).  Two conjectures by Victor Thébault linking tetrahedra with quadrics. Forum Geometricorum. 15, 115-122.
First Page. Link of the paper.

30.-
  Samper A., Herrera B. (2015).  Fractal analysis comparison between Sagrada Familia temple and Gothic cathedrals. Informes de la construcción. , 67(538), e072.
First Page. Link of the paper.

29.-   Sánchez-Artigas M., Herrera B. (2015).  Activity Stereotypes, or How to Cope with Disconnection during Trust Bootstrapping. IEEE Transactions on Parallel and Distributed Systems, 26(1), 2-12.
First Page. Link of the paper.

28.-   Samper A., Herrera B. (2014).  A suspended ladder. ARQ, 87, 44-53.
First Page. Link of the paper.

27.-   Samper A., Herrera B. (2014).  The fractal pattern of the French Gothic cathedrals. Nexus Network Journal, 16(2), 251-271.
First Page. Link of the paper


26.-
   Herrera B. (2014).  The Feuerbach circle, and the other remarkable circles, of the cyclic polygons. Elemente der Mathematik, 69(1),  1-10.
First Page. Link of the paper.

25.-   Samper A., Herrera B. (2014).  Fractal analysis of Spanish Gothic cathedrals. Informes de la construcción, 66(534), e015.
First Page. Link of the paper.

24.-   Herrera B., Pallarés J. (2013).  Identification of vortex cores of three-dimensional large-vortical structures. Archive of Applied Mechanics, 83(9),  1383-1391.
First Page. Link of the paper.

23.-   Sánchez-Artigas M., Herrera B. (2013).  Understanding the effects of P2P dynamics on trust bootstrapping. Information Sciences, 236,  33-55.
First Page. Link of the paper.

22.-   Samper A., Herrera B. (2013).  Analysis of two suspended staircases of Arne Jacobsen. Informes de la Construcción, 65(530),  133-145.
First Page. Link of the paper.

21.-   Herrera B., Fortuny G., Marimón F. (2012).  Calculation of human vein wall parameters in vivo from clinical data for specific patien. Journal of Biomechanical Engineering-Transactions of the ASME, 134(12),  124501-124504.
First Page. Link of the paper.

20.-   Sanromà G., Alquézar R., Serratosa F., Herrera B. (2012).  Smooth point-set registration using neighborin constraints. Pattern Recognition Letters, 13(15),  2029-2037.
First Page. Link of the paper.

19.-   Fortuny G., López-Cano M., Susín A. Herrera B. (2012).  Simulation and study of the geometric parameters in the inguinal area and the genesis of inguinal hernias. Computer Methods In Biomechanics And Biomedical Engineering, 15(2),  195-201.
First Page. Link of the paper.

18.-   Sánchez-Artigas M., Herrera B. (2011).  SocialHelpers: Introducing social trust to ameliorate churn in P2P reputation systems. Peer-to-Peer Computing - 2011 IEEE International Conference on Peer-to-Peer Computing (P2P), ISBN: 978-145770149-8.
First Page. Link of the paper.

17.-   Fortuny G.,  Herrera B., Marimón F., Marcé J. (2011).  Determining the constitutive parameters of the human femoral vein in specific patients. Computational Plasticity - Fundamentals and Applications, ISBN: 978-84-89925-23-6.
First Page. Link of the paper.

16.-   Pamies-Juarez L., García-López P., Sánchez- Artigas M., Herrera B. (2011).  Towards the design of optimal data redundancy schemes for heterogeneous cloud storage infrastructures. Computer Networks, 55(5),  1100-1113.
First Page. Link of the paper.

15.-   Herrera B., Fortuny G. (2010).  Comment on 'Vortex of Fluid Field as Viewed from Curvature'. Communications in Theoretical Physics, 53(1),  43-44.
First Page. Link of the paper.

14.-   Herrera B. (2010).  Vorticity and curvature at a general material surface.Physics of Fluids, 22(4),  042104-042111.
First Page. Link of the paper.

13.-   Herrera B., Pallarés J.  (2010).  Identification of boundary surfaces in flows. Applied Mathematics and Mechanics - English Edition, 31(9),  1097-1104.
First Page. Link of the paper.

12.-   Sánchez-Artigas M, García-López P, Herrera B. (2009).  Exploring the feasibility of reputation models for improving P2P routing under churn. Lecture Notes in Computer Science, 5704 LNCS,  535-547.
First Page. Link of the paper.

11.-   Herrera B. (2009).  The vortical deviation on a stream surface. Applied Mathematics Letters, 22(6),  946-951.
First Page. Link of the paper.

10.-   Sánchez-Artigas M, García-López P, Herrera B. (2009).  Exploring the feasibility of reputation systems under churn. IEEE Communications Letters, 13(7),  558-560.
First Page. Link of the paper.

9.-   Herrera B. (2008).  The conics of Lucas' configuration. Elemente der Mathematik, 63(1),  14-17.
First Page. Link of the paper.

8.-   Herrera B., Pallarés J., Grau F.X. (2008).  Identification of boundary planes in three-dimensional flows. European Journal of Mechanics B/Fluids, 27(3),  290-296.
First Page. Link of the paper.

7.-   Herrera B. (2007).  Vorticity and curvature at a stream surface. European Journal of Mechanics B/Fluids, 26,  473-478.
First Page. Link of the paper.

6.-   Herrera B. (2007).  Note about the Isochronicity of Hamiltonian systems and the curvature of the energy. Bulletin Of The Korean Mathematical Society, 44(3),  415-418.
First Page. Link of the paper.

5.-   Herrera B., Grau, F.X., Giralt, F.  (2003).  Orthogonal grids around convex bodies using foliations. International Journal for Numerical Methods in Engineering, 56(5),  637-649.
First Page. Link of the paper.

4.-   Herrera B. (2002).  The notable configuration of inscribed equilateral triangles in a triangle. Elemente der Mathematik, 57(1),  26-31. 
First Page. Link of the paper.

3.-   Herrera B., Sanromà M. (1997).  The morphology-density relationship for cluster of galaxies revisited. Astronomy and Astrophysics, 320,  13-18.
First Page. Link of the paper.

2.-   Herrera B., Reventós A. (1997).  The tranverse structure of lie flows of codimension 3. Journal of Mathematics of Kyoto University, 37(3),  455-476.
First Page. Link of the paper.

1.-   Herrera B., Llabrés M, Reventós A. (1996).  Transverse structure of lie foliations. Journal of the Mathematical Society of Japan, 48(4),  769-795.
First Page. Link of the paper.

Patents i Registres de la Propietat Intelectual

A. Samper, B. Herrera., R. Salla, D. Moreno. Ref. 2205051069763.  Monitorización de la proyección del rosetón de la Catedral de Mallorca (8 Effect).   (España, 2022). Safe Creative - registro electrónico de propiedad intelectual .


A. Samper
, B. Herrera.  Ref. U201530567.  Dispositivo de unión para muletas.   (España, 2015). Oficina española de Patentes y Marcas.


E. Domínguez, A.Samper, B. Herrera.  Ref. U201530431.  Silla armable y desmontable.   (España, 2015). Oficina española de Patentes y Marcas.


F. Navajas, B. Herrera, G. Pujadas.  Ref. T-380/06.  Sistema departamental gestionado por Administración.   (España, 2006). Registro de la Propiedad Industrial.

Tesis Doctorals i Projectes Fi de Carrera

Tesis Doctoral (2014 URV): Albert Samper:  Análisis Fractal de las Catedrales Góticas. Director Herrera B.


- Tesis Doctoral (2017): Joan M. Seguí:  Análisis Gométrico y Astronómico en la Catedral de Chartres. Directores Herrera B., Samper A.



- Tesis Doctoral (2020): Alberto Cortés:  Sístesis geométrica cuadrática de superficies arquitectónicas. Directores Herrera B., Samper A.

- Tesis Doctoral (2022): Nasibeh Saffari:  Analysing the breast tissue in mammograms using deep learning. Directores Herrera B., Puig D.



- Tesis Doctoral (2024 UdG): Albert Samper:  Sobre la forma de los arbotantes en las fábricas góticas. Directores Herrera B., Gerardo Boto.

- PFC (2005): Lluis Pàmies: Implementació d'un paigatge fotogràfic virtual. Director Herrera B.

- PFC (2005): Albert Ribas: Sistemes de control de vivendes intel·ligents. Director Herrera B.

- PFC (2005): Miriam García: Sistema experto para la priorización de suelos contaminados. Director Herrera B.

- PFC (2006): Manuel Garrido: Creació i edició dinàmica de classes adaptades a bases de dades. Director Herrera B.

- PFC (2006): Fernando Navajas: Sistema departamental gestionado desde administración. Director Herrera B.

- PFC (2006): Nicolás Mantilla: Servidor proxy Ajuntament de Reus. Director Herrera B.

- PFC (2006): Ignaci Mas: Recursos cap d'àrea. Director Herrera B.

- PFC (2007): Óscar Parra: Portal Inmobiliario de Construcciones Júpiter S.L. Director Herrera B.

- PFC (2007): Salvador Reina: Gestió de dades i arxius per l'empresa Digivisión. Director Herrera B.

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Última actualització 07/03/2024