Research Area
- My research interests are in sampling and reconstruction issues in
visualization and graphics applications. This area involves sampling
theory, multivariate splines and multidimensional signal processing.
Our workshop on Sampling and reconstruction: theory and applications, in Banff international research station (BIRS).
You may also
visit the research
page
for more
detailed presentation of my research area.
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Selected Papers
- ¶
Uniform Sampling and Reconstruction of Trivariate Functions.
- ¶
Quasi-interpolation on the Body Centered Cubic Lattice.
- ¶
The Lattice-Boltzmann Method On Optimal Sampling Lattices.
- ¶
A Note on the relationship between B-splines and the Riemann's Zeta Function on Integers.
- ¶
Box Spline Reconstruction On The
Face Centered Cubic Lattice.
- ¶
Evaluation of the trivariate quintic box spline. Practical Box Splines for Reconstruction on the Body Centered Cubic Lattice. Pseudo-code along with experimentation setup included.
- ¶
PhD dissertation: Optimal Sampling Lattices And Trivariate Box Splines.
- ¶
Extensions of the Zwart-Powell Box Spline for Volumetric Data Reconstruction on the Cartesian Lattice.
- ¶
On Visual Quality of Optimal 3D Sampling and Reconstruction.
- ¶
A Granular Three Dimensional Multiresolution Transform.
- ¶
VolQD: Direct Volume Rendering of Multi-million Atom Quantum Dot Simulations.
- ¶
Point Lattices in Computer Graphics and Visualization Tutorial Presented at IEEE Visualization 2005.
- ¶
From Sphere Packing to Optimal Sampling.
- ¶
Linear and Cubic Box Splines for the Body Centered Cubic Lattice.
- ¶
Subsampling Matrices for Wavelet Decompositions on Body Centered Cubic Lattices.
- ¶
Voxelization in Common Sampling Lattices.
- ¶
Shading For Fourier Volume Rendering.
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Implementation and reproduction details
- Detailed experiments on the FCC
lattice
along with documentation and code are
available. There
you can also find code to incorporate into POV ray for rendering purposes.
- For experimenting with optimal lattices and a great list of
implemented rendering algorithms, you may find vuVolume useful.
This software is readily available on
sourceforge.
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PhD Students
- I am currently looking for PhD students; please come and ask about my
current active projects.
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Teaching
Useful Links
- McCool's Analytic signal processing with polyhedral splines: Here, and here.
- Higher-order Voronoi diagrams and splines.
- Neamtu's generalization of splines
- G2V2 seminar series: Fridays
- This
lecture,
in solid state chemistry, is a good introduction to 3-D lattices and
how they appear in crystal structures.
- To mount your CISE account in a local file system in Linux/Mac
OS X, take a look at
this.
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