class_docstr: Space of parameterized discrete surfaces.
  
  Each surface is sampled with fixed `n_vertices` vertices and `n_faces`
  faces in :math:`\mathbb{R}^3`.
  
  Each individual surface is represented by a 2d-array of shape
  `[n_vertices, 3]`. This space corresponds to the space of immersions
  defined below, i.e. the
  space of smooth functions from a template to manifold :math:`M`
  into :math:`\mathbb{R}^3`, with non-vanishing Jacobian.
  
  .. math::
      Imm(M,\mathbb{R}^3)=\{ f \in C^{\infty}(M, \mathbb{R}^3)
      \|Df(x)\|\neq 0 \forall x \in M \}.
  
  Parameters
  ----------
  faces : integer array-like, shape=[n_faces, 3]
      Triangulation of the surface.
      Each face is given by 3 indices that indicate its vertices.
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docstr: Compute the areas for each face of a triangulated surface.
  
  The corresponds to the volume area for the surface metric, that is
  the volume area of the pullback metric of the immersion defining the
  surface metric.
  
  Parameters
  ----------
  point : array-like, shape=[n_vertices, 3]
      Surface, as the 3D coordinates of the vertices of its triangulation.
  
  Returns
  -------
  _ : array-like, shape=[n_faces,]
      Area computed at each face of the triangulated surface.
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code: def face_areas(self, point):
      """Compute the areas for each face of a triangulated surface.
  
      The corresponds to the volume area for the surface metric, that is
      the volume area of the pullback metric of the immersion defining the
      surface metric.
  
      Parameters
      ----------
      point : array-like, shape=[n_vertices, 3]
          Surface, as the 3D coordinates of the vertices of its triangulation.
  
      Returns
      -------
      _ : array-like, shape=[n_faces,]
          Area computed at each face of the triangulated surface.
      """
      surface_metrics_bp = self.surface_metric_matrices(point)
      return gs.sqrt(gs.linalg.det(surface_metrics_bp))
  
imports: import math
  import geomstats.backend
  from geomstats.geometry.euclidean import Euclidean
  from geomstats.geometry.manifold import Manifold
  from geomstats.geometry.riemannian_metric import RiemannianMetric
  from geomstats.numerics.optimizers import ScipyMinimize
label_desc: Use image node_id 13 for calling the DiscreteSurfaces obj's underlying member method code with example usage: obj.face_areas(point) and returns: gs