Research

Research Interests: Machine Learning, Computer Vision, Mathematical Image Processing, Numerical Analysis, Convex and Non-Convex Optimization, PDE's, Scientific Computing

Preprints:

ℓ0 Regularized Structured Sparsity Convolutional Neural Networks
Geodesic Active Contours with Shape Priors for Segmentation, Disocclusion, and Illusory Contour Capture
A Weighted Difference of Anisotropic and Isotropic Total Variation for Relaxed Mumford-Shah Image Segmentation
Image Segmentation Using Clique Based Shape Prior and the Mumford Shah Functional
Parallelization of a Color-Entropy Preprocessed Chan-Vese Model for Face Contour Detection on MultiCore CPU and GPU
Robust and Efficient Implicit Surface Reconstruction for Point Clouds Based on Convexified Image Segmentation
Feature Identification for Colon Tumor Classification
A Fourth Order Dual Method for Staircase Reduction in Texture Extraction and Image Restoration Problems
Image Decomposition Combining Staircase Reduction and Texture Extraction
Recent Developments in Total Variation Image Restoration
Simultaneous Total Variation Image Inpainting and Blind Deconvolution
Data Dependent Multiscale Total Variation Based Image Decomposition and Contrast Preserving Denoising
Solution Dynamics, Causality, and Critical Behavior of the Regularization Parameter in Total Variation Denoising Problems

Recent Research Snapshots Below:

Tracking example. B2 Stealth bomber is accurately tracked despite regions in background having similar intensities.

L2 TV Caveats: Isotropic regularization hinders ability to capture chair leg boundary correctly. Increasing regularization yields a loss of features.

Weighted difference of L1 and L2 TV norms yields a more accurate boundary segmentation.

Non-Convex Optimization with Applications to Segmentation and Tracking
Published in:
Proceedings of the 2016 IEEE International Conference on Image Processing (ICIP), Phoenix Arizona, USA, September 25th-28th.
UCLA CAM Report Preprint
ICIP 2016 Poster

face image

automatic face detection

Face Tracking (Facial Contour)

Face Tracking (with ellipse fitting)

Automatic Face Contour Detection and Tracking
(Ongoing Work)

Published in:
Parallel Computing, August 2015,
pp. 28-49.
DOI: 10.1016/j.parco.2015.07.002