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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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      Algorithm to Compute a Minimal Length Basis of Representative Cocycles of Cohomology Generators 

      Iglesias Ham, Mabel; García Reyes, Edel; Kropatsch, Walter G.; González Díaz, Rocío (Universidad de Sevilla, 2010)
      An algorithm to compute a minimal length basis of representative cocycles of cohomology generators for 2D images is proposed. ...
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      Characterizing Configurations of critical points through LBP Extended Abstract 

      González Díaz, Rocío; Kropatsch, Walter G.; Cerman, Martin; Lamar León, Javier (Universidad de Sevilla, 2015)
      In this abstract we extend ideas and results submitted to [3] in which a new codification of Local Binary Patterns (LBP) ...
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      Characterizing slope regions 

      González Díaz, Rocío; Batavia, Darshan; Moreno Casablanca, Rocío; Kropatsch, Walter G. (Springer, 2021)
      This paper provides a theoretical characterization of monotonically connected image surface regions, called slope regions. ...
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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 ...
    • Capítulo de Libro
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      Homological tree-based strategies for image analysis 

      Real Jurado, Pedro; Molina Abril, Helena; Kropatsch, Walter G. (2009)
      Homological characteristics of digital objects can be obtained in a straightforward manner computing an algebraic map φ ...
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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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      Invariant representative cocycles of cohomology generators using irregular graph pyramids 

      González Díaz, Rocío; Ion, Adrián; Iglesias Ham, Mabel; Kropatsch, Walter G. (2011)
      Structural pattern recognition describes and classifies data based on the relationships of features and parts. Topological ...
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      Irregular graph pyramids and representative cocycles of cohomology generators 

      González Díaz, Rocío; Ion, Adrián; Iglesias Ham, Mabel; Kropatsch, Walter G. (2009)
      Structural pattern recognition describes and classifies data based on the relationships of features and parts. Topological ...
    • Capítulo de Libro
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      LBP and irregular graph pyramids 

      Cerman, Martin; González Díaz, Rocío; Kropatsch, Walter G. (2015)
      In this paper, a new codification of Local Binary Patterns (LBP) is given using graph pyramids. The LBP code characterizes ...
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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 ...
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      Open Issues and Chances for Topological Pyramids 

      Kropatsch, Walter G.; Molina Abril, Helena (PRIP, Vienna University of Technology, 2009)
      High resolution image data require a huge amount of computational resources. Image pyramids have shown high performance ...
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      Representing the Surface of Objects by Combinatorial Pyramids 

      Antúnez, Esther; Molina Abril, Helena; Kropatsch, Walter G. (Czech Pattern Recognition Society, 2010)
      This paper introduces a new method to rep- resent the surface of objects using two dimensional com- binatorial maps. The ...
    • Artículo
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      Topology-based image segmentation using LBP pyramids 

      Cerman, Martin; Janusch, Ines; González Díaz, Rocío; Kropatsch, Walter G. (Springer, 2016)
      In this paper, we present a new image segmentation algorithmwhich is based on local binary patterns (LBPs) and the ...