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

  • 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

• 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

  • 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

• 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]

• 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