This paper presents a geometric method for parameterization, matching, and analysis of surface shapes. Surfaces are parameterized and represented by intrinsic coordinate maps derived from the conformal structure of the shape. This parameterization is invariant to rigid transformations of the shape, as well as angle-preserving parameterizations of the surface. Shape matching between coordinate m...

This paper presents a new approach for the prediction of proteins' molecular surfaces from their amino acid sequences, using a multilayer artificial neural network. Our novel approach allows one to learn, and to predict, a pose-invariant shape index describing the molecular surface of a protein, by starting from a descriptor of the amino acid sequence. The input layer of the neural network is f...

Simon Donaldson and Ivan Smith recently studied symplectic surfaces in symplectic 4{manifolds X by introducing an invariant DS associated to any Lefschetz bration on blowups of X which counts holomorphic sections of a relative Hilbert scheme that is constructed from the bration. Smith has shown that DS satis es a duality relation identical to that satis ed by the Gromov invariant Gr introduced ...

In this paper, we present a complete system to monitor the growth of tomatoes from images acquired in open fields. This is a challenging task because of the severe occlusion and poor contrast in the images. We approximate the tomatoes by spheres in the 3D space, hence by ellipses in the image space. The tomatoes are first identified in the images using a segmentation procedure. Then, the size o...

We embark in a program of studying the problem of better approximating surfaces by triangulations(triangular meshes) by considering the approximating triangulations as finite metric spaces and the target smooth surface as their Haussdorff-Gromov limit. This allows us to define in a more natural way the relevant elements, constants and invariants s.a. principal directions and principal values, G...

3D techniques are increasingly used in aerospace industry to improve quality and performance of aircrafts. This paper presents a 3D imaging technique for studying the aerodynamic shape and flight performance of micro air vehicles. 3D stereoscopic vision, based upon stroboscopic imaging, was utilized to obtain the 3D information of the aircraft’s flexible aerodynamic surface. The aircraft models...

This note studies a network of agents having continuous-time dynamics with quantized interactions and time-varying directed topology. Due to the discontinuity of the dynamics, solutions of the resulting ODE system are intended in the sense of Krasovskii. A limit connectivity graph is defined, which encodes persistent interactions between nodes: if such graph has a globally reachable node, Kraso...