Ph.D. Dissertation Proposal

The Modeling Equation: Solving the Physically-Based

Modeling and Animation Problem with a Unified Solution

Yu Wang

11:00am Monday, June 3, 2013, VANGOGH Lab, ITE 352

Physically-based modeling, i.e. the ability to model sophisticated geometrical shapes and objects in complex physical environments, is an important and popular research area in computer graphics, especially in animation and modeling. Rigid body dynamics studies how solid objects react to external forces without considering collisions (unconstrained), or the interaction between rigid bodies without inter-penetration (constrained). Deformable object modeling accounts for the effects of material properties, external forces, and environment constrains on object deformation. Fluid simulation in computer graphics heavily studies efficient way of solving and/or approximating the physically-based Navier-Stokes equations.

It’s difficult to account for these behaviors from a mechanics point of view, but they have analogous rheological equations. To be exact, rheology studies deformation and flow of matters by accounting for the movements of particles that comprise the material relative to each other. There are three different rheological properties: if we apply definite forces to a material to make it reach a definite deformation, and the deformation goes back when the forces are removed, the material is elastic; if the deformation remains permanent, the material is plastic; or under definite forces, the deformation keeps increase without a limit, the material flows.

I’m proposing to create physically-accurate material behaviors using a generalized formulation based on rheological theories, i.e. kinematic and dynamic properties of rigid bodies, deformable objects, fluid-like materials can be represented by the same formulation with different weights to their rheological properties.

Committee: Drs. Marc Olano (Chair and Advisor), Matthias K. Gobbert (Mathematics and Statistics), Penny Rheingans, Lynn Sparling (Physics), Jian Chen

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The content revolves around web design, blogging and funny situations that we encounter in our daily lives as designers.

These great cartoons are created by Jerry King, an award-winning cartoonist who’s one of the most published, prolific and versatile cartoonists in the world today.

So for a few moments, take a break from your daily routine, have a laugh and enjoy these funny cartoons.

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Every week we feature a set of comics created exclusively for WDD.

The content revolves around web design, blogging and funny situations that we encounter in our daily lives as designers.

These great cartoons are created by Jerry King, an award-winning cartoonist who’s one of the most published, prolific and versatile cartoonists in the world today.

So for a few moments, take a break from your daily routine, have a laugh and enjoy these funny cartoons.

Feel free to leave your comments and suggestions below as well as any related stories of your own…

The passionate designer

The invisible designer

The married designer

Can you relate to these situations? Please share your funny stories and comments below…

Fantastic JavaScript Chart Generator – only $37!

For Caitlynn, a biology major, one family emergency nearly meant having to leave UMBC. Thankfully, she’s now on track to finish what she started — fulfilling her dream not only of helping people as a radiology assistant, but being the first in her family to graduate from college.

Imagine working and studying hard for years, then losing it all because you can’t quite make one tuition bill payment. Imagine having to pay off years of student debt without a degree to show for it.

Sadly, hundreds of UMBC students experience need that isn’t fulfilled by scholarships or financial aid. Many of them work two or more jobs while attending school – and sometimes, that still isn’t enough. Those are the times when they need you most.

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