Matthew Brand

• Lumography is the shaping of optical surfaces so that a reflected or refracted beam of light produces a pre-focal image when scattered. The Composites Gallery in New York has a long-running show of lumographic lenses that cast photographic images on walls.
• Camel
• Specular holograms are three-dimensional images made of thousands of dots of light that glint off of finely carved metal or glass. The National Museum of Mathematics in New York has a large art installation of specular holograms.
• PQP is a method for solving very large convex optimization problems, particularly quadratic programming, in parallel. It enables real-time optimal control of extremely fast machinery.
• Incremental singular value decomposition is method for finding and tracking the principal directions of variation in a high-dimensional data stream. It is widely used in large-scale data mining, including real-time seismic monitoring, analysis of consumer transactions, computer vision, natural language analysis, and machine learning.
• Entropic estimation is a method for revising beliefs when faced with new data. It combines Bayes theorem and Occam's Razor to find a probabilistic model that minimizes the coding costs of both the data and the model, which in turn has high probability of generalizing correctly. It is a popular technique in the analysis of bioinformatic data.
• Voice Puppetry is a method for generating lip sync and expressive facial animation from an audio track. It introduced a synthesis method using Hidden Markov Models that is now commonly used in facial animation.