Monday 
Wednesday 
Friday 
Mar 24
Introduction:
digital image
gray, color
read and write an image

Mar 26
Introduction:
digital image
gray, color
read and write an image
functional derivatives

Mar 28
conference
HW1: on p.21 of the slides 
Mar 31
Image Degradation
Image denoising (Chan & Shen 4.5)

Apr 2
ROF model

Apr 4
Numerical implementation for ROF model
HW2 
Apr 7
Review of functional space(Gilles ch2.)
strong and weak topology

Apr 9
Existence of the minimizer of a functional
make up class: (72 minutes) this Thursday at 5:30pm CH 232

Apr 11
Perona and Malik's Nonlinear Diffusion Model (Chan & Shen 4.6.1)

Apr 14
conference

Apr 16
conference

Apr 18
conference

Apr 21
ScaleSpace Theory (Chan & Shen 4.6.2) 
Apr 23
Motion blur and Outoffocus blur (Chan & Shen 5.1)
make up class: (72 minutes) this Thursday at 5:30pm CH 232

Apr 25
Image Debluring: Code

Apr 28
Shock Filter(Aubert Ch3.3.3)

Apr 30
Numerical Scheme for Shock Filter
HW3 
May 2
conference in SAMSI

May 5
Introduction to image inpainting, interpolation

May 7
PDE based image inpainting techniques
linear inpainting via harmonic extension
make up class: this Thursday at 5:30pm SM 1186

May 9
Masnou and Morel model for inpainting
TV inpainting modelHW4 
May 12
Properties of TV inpainting 
May 14
TV zoom in
Mean and Medium Interpolation
Third order inpainting, NavierStokes Equation
make up class: this Thursday at 5:30pm SM 1186

May 16
Image Segmentation: MumfordShah functional HW5 
May 19
ChanVese piecewise constant model and its extension
CV piecewise constant Code

May 21
ChanVese piecewise smooth model 
May 23
Edge based models
HW6 
May 26
Memorial Day (no class) 
May 28
Student presentation of final projects 
May 30
Student presentation of final projects 
final project:
(a)A New DiffusionBased Variational Model for Image Denoising and
Segmentation: FANG LI,CHAOMIN SHEN, and LING PI
(b)Image inpainting using a TVStokes equation: XueCheng Tai,
Stanley Osher and Randi Holm
(c)A Fast Algorithm for Image Deblurring with Total Variation Regularization: Yilun Wang, Wotao Yin and Yin Zhang
(d)A Multiresolution Stochastic Level Set Method
for MumfordShah Image Segmentation
Yan Nei Law, Hwee Kuan Lee and Andy M. Yip

(e)Robust Environmental Image Denoising:
A. Ben Hamza and Hamid Krim
(f)Global Minimization of the Active Contour Model with
TVInpainting and Twophase Denoising:
Shingyu Leung and Stanley Osher
(g)Matting through Variational Inpainting
Kangyu Ni, Sheshadri Thiruvenkadam, and Tony Chan
(h)Extensions to Total Variation Denoising: Peter Blomgren, Tony F. Chan and Pep Mulet

(i)An Efficient OperatorSplitting Method for Noise
Removal in Images
D. KRISHNAN, P. LIN and X. C. TAI
(j)A variational approach to reconstructing
images corrupted by Poisson noise
UCLA CAM Report 0549
Triet Le, Rick Chartrand, and Thomas J. Asaki
(k)Geometric Surface Smoothing via Anisotropic Diffusion of Normals:
Tolga Tasdizen, Ross Whitaker, Paul Burchard, Stanley Osher
(l)On image denoising methods:
Antoni Buades,Bartomeu Coll and Jean Michel Morel
(m)Hybrid geodesic regionbased curve evolutions for image
segmentation: Shawn Lanktona, Delphine Nainb, Anthony Yezzia, and Allen Tannenbauma
or pick images related paper on cam report:
http://www.math.ucla.edu/applied/cam/



