Caracterización morfólogica del M2 de primates Hominoidea a partir de análisis de Fourier/ Morphological characterization of the Hominoidea primates second molars from Fourier analysis

  • Beatriz Gamarra
  • Alejandro Romero
  • Alejandro Pérez-Pérez
  • Jordi Galbany


RESUMEN Los análisis de Fourier permiten caracterizar el contorno del diente a partir de un número determinado de puntos y extraer una serie de parámetros para un posterior análisis multivariante. No obstante, la gran complejidad que presentan algunas conformaciones obliga a comprobar cuántos puntos son necesarios para una correcta representación de ésta. El objetivo de este trabajo es aplicar y validar los análisis de Fourier (Polar y Elíptico) en el estudio de la forma dental a partir de diferentes puntos de contorno y explorar la variabilidad morfométrica en diferentes géneros. Se obtuvieron fotografías digitales de la superficie oclusal en segundos molares inferiores (M2s) de 4 especies de Primates (Hylobates moloch, Gorilla beringei graueri, Pongo pygmaeus pygmaeus y Pan troglodytes schweirfurthii) y se definió su contorno con 30, 40, 60, 80, 100 y 120 puntos y su representación formal a 10 armónicos. El análisis de la variabilidad morfométrica se analizó mediante la aplicación de Análisis Discriminantes y un NP-MANOVA a partir de matrices de distancias para determinar la variabilidad y porcentajes de clasificación correcta a nivel metodológico y taxonómico. Los resultados indicaron que los análisis de forma con series de Fourier permiten analizar la variabilidad morfométrica de M2s en géneros de Hominoidea, con independencia del número de puntos de contorno (30 a 120). Los porcentajes de clasificación son más variables e inferiores con el uso de la serie Polar (?60-90) que con la Elíptica (75-100%). Un número entre 60-100 puntos de contorno mediante el método elíptico garantiza una descripción correcta de la forma del diente.

ABSTRACT Fourier analysis can allow to characterize the shape of teeth, by employing a number of landmarks defining its profile, and extract a number of parameters for subsequent multivariate analysis. However, the great complexity of some cases requires testing how many landmarks are needed for a correct representation. The aim of this paper is to apply and validate the Fourier analysis (Polar and Elliptic) in the dental conformation study by using different contour landmarks, and explore the morphometric variability in different genera. Digital photographs were obtained in occlusal view of second lower molars (M2s) of 4 species of primates (Hylobates moloch, Gorilla beringei graueri, Pongo pygmaeus pygmaeus and Pan troglodytes schweirfurthii). Teeth was defined with 30, 40, 60, 80, 100 and 120 landmarks, and 10 harmonics were obtained in each case. The variability was analyzed by applying Discriminant Analysis and NP-MANOVA from distance matrices to determine the percent of correct classification at methodological and taxonomical levels. The results shown that Fourieranalysis detect intergenus variability of shape in M2s of Hominoidea genera, regardless of the number of landmarks defining the contour. The classification rates presented higher variability in Polar (?60-90) analysis than in Elliptic ones (75-100%). Using between 60-100 landmarks in an elliptic analysis ensures a good discrimination of tooth shapes in Hominoidea.



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Gamarra, B., Romero, A., Pérez-Pérez, A., & Galbany, J. (1). Caracterización morfólogica del M2 de primates Hominoidea a partir de análisis de Fourier/ Morphological characterization of the Hominoidea primates second molars from Fourier analysis. Revista Argentina De Antropología Biológica, 13(1), 29-41. Recuperado a partir de
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