"From Graphics to Computation"
"Achieving Fairness in Non-repudiation Protocols"
"Inverse Problems in Industry: Modelling and Computation"
In this talk, we will present the recent works based on
the correlation between our group and industry. The
modelling and computation of the forward problems
and inverse problems are stressed. By several
interesting examples, we show that,
the theoretic analysis of mathematical model and
techniques of inverse problems are so important
for giving the effective solutions for the real
problems.
"Visual Simulation of Natural Phenomena based on Computational Fluid Dynamics"
Visual simulation of natural phenomena has become one of the most
important research topics in computer graphics. Such phenomena include
water, fire, smoke, clouds, and so on. Realistic simulation of these
phenomena can be achieved by solving a set of partial differential
equations, called Navier-Stokes equations. In this talk, I will briefly
review the Navier-Stokes equations and explain how the equations can
be applied to the simulation of various natural phenomena. I will also
explain some methods to control the simulation in order to produce
desired visual effects.
"Manufacturing and processing of steel - a challenge for industrial mathematics"
"Semidefinite programming: algorithms and applications"
"Deformations of planar quad meshes"
"Scattered Interpolation in Computer Graphics"
"Generalized Algorithm for Strong Discrete Logarithms"
"A Survey of Pairing-Based Cryptography "
"Cryptanalysis and Side-Channel Analysis"
"Mechanisms and Applications of Digital Watermarking "
"Algebraic and Topological Approaches to Visualizing Complexities"
Extracting meaningful features in spatiotemporal behaviors
of datasets has been a key issue in computer graphics and
visualization, due to its ability to analyze and understand
the underlying complexities. This talk provides two
different approaches to this issue, an algebraic approach
for characterizing the relationships among data samples and
a topological approach for delineating data distribution
into a skeleton-like structure. We applied these approaches
to a variety of problems including watermarking 3D models,
simulating group formations, enhancing volume visualization,
and skeletonization of high-dimensional datasets.
"Recovery of Information from Stress-Strain Measurements"
"Wavelet and signal source separation"
"Fast Enumerative Solver for Polynomial Systems over GF2 "
"Triangle Mesh Modeling for CG Applications"
"Inverse Problems and Optimal Control"