Research with Undergraduates


Jung-Ha An: Research with Undergraduates

  • Imaging Research Group:

     

    • Current Members:

       

      • Paulos Alemu (5/2012-Present): Mathematics Major
      • Joshua Galvez (5/2012-Present): Mathematics Major
      • Jo Fawna Reali (5/2012-Present): Mathematics Major
      • Camila Reyes (8/2012-Present): Mathematics Major
      • Susana Urquizo (5/2012-Present): Mathematics Major
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    • Previous Members:

       

      • Jason Barnett (8/2010-5/2012): Mathematics and Music Major, Graduated
      • William Bishop (8/2010-5/2012): Computer Science Major, Graduated
      • Jessica De Silva (8/2011-5/2012): Mathematics Major
      • Karen Murata (8/2011-5/2012): Mathematics and Biology Major
      • Daniel Aguilar (8/2010-5/2011): Mathematics Major, Graduated
      • Maril Soomalan (8/2010-5/2011): Mathematics and Physics Major, Graduated
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  • Research Topics:

    • Fall of 2012 - Present:

      • Camila Reyes: Isotropic Image Smoothing Using an Edge-Detector Function
      • Paulos Alemu, Joshua Galvez, Jo Fawna Reali, and Susana Urquizo: Total Variational Image smoothing in Calculus of Variations
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    • Fall of 2011 - Spring of 2012:

      • Jason Barnett: Derivations of Euler-Lagrange Equations in Imaging
      • William Bishop: Image Smoothing Using Median Filtering & Isotropic Modelling
      • Jessica De Silva and Karen Murata: The Alignment of Arbitrary Contours Using Area Difference Distance Measurement
    • Fall of 2010 - Spring of 2011:

      • Jason Barnett and William Bishop: Vector Calculus with an Emphasis on Green's Theorem
      • Daniel Aguilar and Maril Soomalan: Vector Calculus with an Emphasis on Line Integrals
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  • Work in Progress:

     

    • [1]''The Two-Dimensional Smoothing of Images Via the Total Variational Model'' with Paulos Alemu, Joshua Galvez, Jo Fawna Reali, and Susana Urquizo (Research with Undergraduate)
    • [2]''Calculus of Variations; Minimizing a Family of Functions'' with Paulos Alemu, Joshua Galvez, Jo Fawna Reali, and Susana Urquizo (Research with Undergraduate)
  • Publication:

     

    • Jessica DeSilva, Karen Murata, and Jung-Ha An [2012]. ''The Alignment of Arbitrary Contours Using Area Difference Distance Measurement,'' Society for Industrial and Applied Mathematics (SIAM) Undergraduate Research Online Journal, pp. 204-218, August 2012 (Research with Undergraduate Students) [PDF]
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  • Presentations:

     

    • 2012 Northern California Undergraduate Mathematics Conference (Oral Presentations):
      • Jessica De Silva and Karen Murata: The Alignment of Arbitrary Contours Using Area Difference Distance Measurement
    • 2012 Nebraska Conference for Undergraduate Women in Mathematics (Oral Presentation):
      • Jessica De Silva and Karen Murata: The Alignment of Arbitrary Contours Using Area Difference Distance Measurement
    • 2012 Joint Mathematics Meetings (Poster Presentations):
      • Jason Barnett: Derivations of Euler-Lagrange Equations in Imaging
      • William Bishop: Applying Gradient Descent And Finite Differences Schemes In Contour Extraction
      • Jessica De Silva and Karen Murata: The Alignment of Arbitrary Contours Using Area Difference Distance Measurement
    • 2011 Northern California Undergraduate Mathematics Conference (Oral Presentations):
      • Jason Barnett and William Bishop: George Green: His Theorem and Its Application
      • Daniel Aguilar and Maril Soomalan: Applications of Line Integrals in Classical Mechanics