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Abstracts and Talk Materials
Computing and Image Processing with Data Related to Humans and Human Activities
March 05-06, 2011

Selim Esedoglu - University of Michigan

Algorithms for variational models involving interfaces in image processing and vision.
March 05, 2011 9:15 am - 10:45 am

Keywords of the presentation: interfacial motion, variational models, numerical methods, level sets, phase field

Many of the variational models of image processing and computer vision involve optimizing an energy over interfaces. An important example is image segmentation, where the goal is to partition the image domain into regions containing distinct objects. Typically, the models include a geometric penalty term, such as perimeter or Euler's elastica energy. We will discuss some of the popular algorithms for computing these models, including level set, diffuse interface (phase field), and diffusion generated motion-based approaches. However, the emphasis will be on more recent algorithms that convert some of these notoriously hard, non-convex optimizations to equivalent convex optimization problems.

Luca Formaggia - Politecnico di Milano

An introduction to simulation of fluid dynamics with an emphasis on sport applications
March 05, 2011 2:00 pm - 3:30 pm

Keywords of the presentation: Computational fluid dynamics; fluid structure interaction

Mathematics in sports covers a wide range of aspects, from the study of dynamical systems (to assess biological response to fatigue, for instance), the mechanics of biological tissues (like in injury studies), game theory (for strategy planing), up to the dynamics of fluids and structures to optimise the performance of sport devices (ski, racing boats etc.). In this lectures we focus most on the last topic, giving an introduction to fluid and structural dynamics and fluid-structure interaction problems.

Joseph Teran - University of California, Los Angeles

Virtual surgery: real-time simulation of elasticity in biomechanics
March 06, 2011 10:30 am - 12:00 pm

Keywords of the presentation: finite elements, real time, elasticity, biomechanics, virtual surgery

Elasticity plays a fundamental role in many biomechanics and computer graphics related problems. I will talk about numerical methods used for simulating elastic phenomena in soft tissues, skeletal muscles as well as techniques inspired by imaging for determining elastic constitutive models. Specifically, I will discuss common difficulties encountered and my recent algorithm developments to address them. I will put specific emphasis on applications in computer graphics based special effects for virtual characters. Topics include robust resolution of: severe nonlinearity, near incompressibility, extremely large deformation, collision/contact and solid/fluid coupling. I will also discuss the impact of multi-core accelerated computation for such problems and the potentially revolutionary applications it will admit.