Uncertainty Visualization
Analysis and Visualization of Large Ensembles of Modelsimulated SOCCOM Float Trajectories Spatial probability map of ensembles of ARGO floats released at potential deployment sites along cruise routes: computed and visualized using the generalized notion of band depth and radial basis function interpolation. [SOCCOM17] 

On Evaluation of Ensemble Forecast Calibration Using the Concept of Data Depth Identifiability issue associated with centeroutward order to generate multivariate rank histograms is alleviated using depthversusdepth plot. [MWR17] 

Path Boxplots: A Method for Characterizing Uncertainty in Path Ensembles on a Graph A method for characterizing uncertainty of ensembles of path on a graph. [JCGS16] 

Visualizing Uncertainty of TimeSpecific Hurricane Predictions A method for characterizing uncertainty of hurricane tracks using simplicial depth. [EuroVis15][30 sec. video] 

Curve Boxplot An uncertainty visualization scheme for ensembles of multivariate functions. [VIS14][30 sec. video] 

Contour Boxplots Visualization of ensembles of isocontours based on statistical analysis using generalized notion of data depth. [VIS13][30 sec. video][wiki] 
Scientific Visualization
Evaluating Alignment of Shapes by Ensemble Visualization Application of contour boxplot visualization for studying aligment of ensemble of volumetric brain images. [IEEE CGA15] 

Sparse Tomographic Reconstruction A splinebased compressive sensing framework for tomographic reconstruction from limited number of projection angles. [ISBI13] 

Visualization Using Compressive Sensing A compressive sensing method for volume rendering. [LDAV12] 
Uncertainty Quantification
Mixed Aleatory and Epistemic Uncertainty Quantification Using Fuzzy Set Theory An algorithm to construct fuzzy probabilities to represent uncertainty in a limitedsize ensemble. [IJAR15][IJUQ15] 

Application of Uncertainty Modeling Frameworks to Uncertain Isosurface Extraction An uncertaintybased marching cubes template as an abstraction of the conventional marching cubes algorithm with a flexible uncertainty measure. [IUKM15] 
Multidimensional Signal Processing
Hexagonal SmoothnessIncreasing AccuracyConserving Filtering Introduced the first nonseparable SIAC filter for hexagonal lattice. [JSC17] 

Multidimensional filtering: Reducing the dimension through rotation Introduced the SIAC line filter and explore how the orientation, structure and filter size affect the order of accuracy and global errors. [SIAM JSC17] 

SmoothnessIncreasing AccuracyConserving (SIAC) Filtering and QuasiInterpolation: A Unified View Established the theoretical connection between SIAC filtering and longstanding concepts in approximation theory. [JSC15] 

Fast Evaluation of Voronoi Splines An exact polynomial representation of second order Voronoi splines using clustering. [to appear] 

Quasi Interpolation A prefiltering technique designed based on Fourier transform of Voronoi splines to reduce oversmoothing. [VIS11] 

Voronoi Splines A spline family for approximation on optimal sampling lattices including body centered cubic (BCC) and face centered cubic (FCC). [TSP10] 