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      A Step Towards Learning Contraction Kernels for Irregular Image Pyramid 

      Batavia, Darshan; González Díaz, María del Rocío; Kropatsch, Walter G. (SciTePress, 2022-02)
      A structure preserving irregular image pyramid can be computed by applying basic graph operations (contraction and removal ...
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      Computing and reducing slope complexes 

      Kropatsch, Walter G.; Moreno Casablanca, Rocío; Batavia, Darshan; González Díaz, Rocío (Springer, 2019)
      In this paper we provide a new characterization of cell de- composition (called slope complex) of a given 2-dimensional ...
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      Congratulations! Dual Graphs are Now Orientated! 

      Batavia, Darshan; Kropatsch, Walter G.; Moreno Casablanca, Rocío; González Díaz, Rocío (Springer, 2019)
      A digital image can be perceived as a 2.5D surface consisting of pixel coordinates and the intensity of pixel as height ...
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      Counting slope regions in the surface graphs 

      Batavia, Darshan; Kropatsch, Walter G.; González Díaz, Rocío; Moreno Casablanca, Rocío (TUGraz OPEN Library, 2019)
      The discrete version of a continuous surface sampled at optimum sampling rate can be well expressed in form of a ...
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      Image = Structure + Few Colors 

      Batavia, Darshan; González Díaz, Rocío; Kropatsch, Walter G. (Springer, 2021)
      Topology plays an important role in computer vision by capturing the structure of the objects. Nevertheless, its potential ...
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      On the Space Between Critical Points 

      Kropatsch, Walter G.; Moreno Casablanca, Rocío; Batavia, Darshan; González Díaz, Rocío (Springer, 2019)
      The vertices of the neighborhood graph of a digital picture P can be interpolated to form a 2-manifold M with critical ...