Hair Meshes
This is a new method for modeling hair that aims to bring hair modeling as close as possible to modeling polygonal surfaces. This new approach provides an artist with direct control of the overall shape of the hair, giving them the ability to model the exact hair shape they desire. This method is used in Hair Farm plugin for 3ds Max.

Mesh Colors
This is a revolutionary way of keeping color information on polygonal meshes. Colors are directly associated with the 3D model avoiding texture mapping and its problems. Its simplicity and efficiency make it a perfect choice for applications like 3D painting and storing precomputed data on meshes (such as baking ambient occlusion).

Parameterization of Catmull-Rom Curves
The behavior of Catmull-Rom curves heavily depends on the choice of parameter values at the control points. We analyze a class of parameterizations ranging from uniform to chordal parameterization and show that, within this class, curves with centripetal parameterization contain properties that no other curves in this family possess.

Real-time Caustics from Height Fields
This project is about a two-pass algorithm for caustics computation that is extremely fast and produces high quality results. This algorithm is targeted for commonly used height field representations of water and a planar caustic-receiving surface.

Dual Scattering Approximation
Dual scattering offers an extremely fast approximation of multiple scattering in hair. The simulation directly uses hair fiber properties; therefore, no parameter tweaking is necessary to achieve realistic results with arbitrary lighting conditions. Its extreme simplicity even permits real-time implementation on the GPU.

Wave Particles
This is a new method for the real-time simulation of fluid surface waves and their interactions with floating objects. The method is based on the new concept of wave particles, which offers a simple, fast, and unconditionally stable approach to wave simulation.

Deep Opacity Maps
This is a new method for computing shadows from semi-transparent objects like hair. Extending the concept of opacity shadow maps, deep shadow maps method significantly improves the quality and speed of shadow computation.

Hair Rendering with Global Illumination
Both hair rendering and global illumination are known to be computationally expensive, and for this reason we see very few examples using global illumination techniques in hair rendering. In this project we propose solutions to hair rendering with global illumination to make it affordable for industrial applications.

Gradient Space Projection
This is a method for handling projections onto the hemisphere by practically converting the hemisphere to an infinite plane. The motivation of this project was to replace the computationally expensive Monte Carlo ray tracing used in gathering indirect illumination by a projection based alternative.