Pose Space Deformation Notes

Real-Time Weighted Pose-Space Deformation on the GPU

WPSD (Weighted Pose Space Deformation) is an example based skinning method for articulated body animation. The per-vertex computation required in WPSD can be parallelized in a SIMD (Single Instruction Multiple Data) manner and implemented on a GPU. While such vertex-parallel computation is often done on the GPU vertex processors, further parallelism can potentially be obtained by using the frag...

Relationship Between Ground Settlement Due to Tunnelling and Ground Physico-mechanical Peroperties (RESEARCH NOTES)

Introduction to Deformation Theory

We give an introduction to deformation theory with a special focus on the moduli space of semistable sheaves and the Quot-scheme. These are notes to a talk given during Spring 2016 at the graduate seminar on moduli of sheaves on K3 surfaces joint between MIT and NEU.

Notes on Fock Space

These notes are intended as a fairly self contained explanation of Fock space and various algebras that act on it, including a Clifford algebras, a Weyl algebra, and an affine Kac-Moody algebra. We also discuss how the various algebras are related, and in particular describe the celebrated boson-fermion correspondence. We finish by briefly discussing a deformation of Fock space, which is a repr...

Pose Correction by Space-Time Integration

The deformation of a given model into different poses is an important problem in computer graphics and computer animation. In a typical workflow, a carefully designed reference surface is deformed into a couple of poses, which can then act as a basis for interpolating arbitrarily intermediate poses. To this end the input poses should be free of geometric artifacts like self-intersections, since...