• A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior 

      Yuan, Jing; Bae, Egil; Boykov, Yuri; Tai, Xue-Cheng (Chapter; Peer reviewed, 2011)
      This paper investigates a convex relaxation approach for minimum description length (MDL) based image partitioning or labeling, which proposes an energy functional regularized by the spatial smoothness prior joint with a ...
    • Efficient Global Minimization for the Multiphase Chan-Vese Model of Image Segmentation 

      Bae, Egil; Tai, Xue-Cheng (Peer reviewed; Journal article, 2009)
      The Mumford-Shah model is an important variational image segmentation model. A popular multiphase level set approach, the Chan-Vese model, was developed as a numerical realization by representing the phases by several ...
    • Efficient global minimization methods for variational problems in imaging and vision 

      Bae, Egil (Doctoral thesis, 2011-08-19)
      Energy minimization has become one of the most important paradigms for formulating image processing and computer vision problems in a mathematical language. Energy minimization models have been developed in both the ...
    • A Fast Continuous Max-Flow Approach to Non-Convex Multilabeling Problems 

      Bae, Egil; Yuan, Jing; Tai, Xue-Cheng; Boykov, Yuri (2011)
      This work addresses a class of multilabeling problems over a spatially continuous image domain, where the data fidelity term can be any bounded function, not necessarily convex. Two total variation based regularization ...
    • Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach 

      Bae, Egil; Yuan, Jing; Tai, Xue-Cheng (Peer reviewed; Journal article, 2010)
      This paper is devoted to the optimization problem of continuous multi-partitioning, or multi-labeling, which is based on a convex relaxation of the continuous Potts model. In contrast to previous efforts, which are tackling ...
    • Reconstructing Open Surfaces via Graph-Cuts 

      Wan, Min; Wang, Yu; Bae, Egil; Tai, Xue-Cheng; Wang, Desheng (2011)
      A novel graph-cuts-basedmethod is proposed for reconstructing open surfaces from unordered point sets. Through a boolean operation on the crust around the data set, the open surface problem is translated to a watertight ...
    • Simplified energy landscape for modularity using total variation 

      Boyd, Zachary; Bae, Egil; Tai, Xue-Cheng; Bertozzi, Andrea L. (Peer reviewed; Journal article, 2018)
      Networks capture pairwise interactions between entities and are frequently used in applications such as social networks, food networks, and protein interaction networks, to name a few. Communities, cohesive groups of nodes, ...
    • A Study on Continuous Max-Flow and Min-Cut Approaches 

      Yuan, Jing; Bae, Egil; Tai, Xue-Cheng (Chapter; Peer reviewed, 2010)
      We propose and investigate novel max-flow models in the spatially continuous setting, with or without supervised constraints, under a comparative study of graph based max-flow / min-cut. We show that the continuous max-flow ...