Two-Dimensional Kinetic Shape Dynamics: Verification and Application

Two-Dimensional Discrete Shape Matching and Recognition

We present a 2D matching method based on corresponding shape outlines. By working in discrete space, our study is done by using discrete operators and avoids interpolations and approximations. To encode shapes, we polygonalize their contours and we proceed by the extraction of intrinsic properties namely length, curvature and normal vectors. We optimize then a measure of similarity controlled b...

Two{dimensional Topological Dynamics

Three-dimensional shape and two-dimensional surface reflectance contributions to face recognition: an application of three-dimensional morphing

We measured the three-dimensional shape and two-dimensional surface reflectance contributions to human recognition of faces across viewpoint. We first divided laser scans of human heads into their two- and three-dimensional components. Next, we created shape-normalized faces by morphing the two-dimensional surface reflectance maps of each face onto the average three-dimensional head shape and r...

Effective merging dynamics of two and three fluid vortices: application to two-dimensional decaying turbulence.

We present a kinetic theory of two-dimensional decaying turbulence in the context of two-body and three-body vortex merging processes. By introducing the equations of motion for two or three vortices in the effective noise due to all the other vortices, we demonstrate analytically that a two-body mechanism becomes inefficient at low vortex density n<<1. When the more efficient three-body vortex...

One - dimensional versus two - dimensional dynamics Sebastian