Sulcal medial surfaces are D thin convoluted ribbons em bedded in cortical sulci and they provide distinctive anatomical features of the brain Here we propose a new approach to automatic intrasulcal ribbon nding following our work on cortex segmentation with coupled surfaces via level set methods where the outer cortical surface is em bedded as the zero level set of a high dimensional distance ...

in the recent work, the reaction mechanism between triphenylphosphine 1, dialkyl acetylenedicarboxylates 2 in the presence of nh-acid, such as 5-aminoindazole 3 were investigated theoretically. quantum mechanical studies were performed for evaluation of potential energy surfaces of all structures participated in the reaction mechanism both in gas phase and in dichloromethane. the first step of ...

1. The results announced in this article concern certain aspects of the diffeomorphism classification of algebraic surfaces, and in particular, the role of the canonical class. We establish our results by developing a general criterion under which the possibilities for Donaldson's polynomial invariants for smooth 4-manifolds [2] are severely limited. We then use these limitations to conclude th...

Much work has been done on reconstructing arbitrary surfaces using the radial basis function (RBF) method, but one can hardly find any work done on the use of RBFs to solve partial differential equations (PDEs) on arbitrary surfaces. In this paper, we investigate methods to solve PDEs on arbitrary stationary surfaces embedded in R3 using the RBF method. We present three RBF-based methods that e...

We introduce a model for the effect of cesium adsorbates on the work function of transition metal surfaces. The model builds on the classical point-dipole equation by adding exponential terms that characterize the degree of orbital overlap between the 6s states of neighboring cesium adsorbates and its effect on the strength and orientation of electric dipoles along the adsorbate-substrate inter...

Ellingsrud and Peskine showed in [ElP] that there are finitely many components of the Hilbert scheme of P containing smooth surfaces not of general type. The upper bound for the degree of such surfaces has recently been reduced to 105 (cf. [BF]). Quite a bit of work has been put into trying to construct such surfaces of high degree. So far the record is 15, which coincides with the conjectural ...

Enhancing water shedding behavior on aluminum surfaces is important in the design of energy-efficient heat exchangers. In this work, a method for fabricating oil-infused aluminum surfaces for HVAC&R systems is described for the purpose of exploiting the slippery nature of such surfaces, thereby improving the overall surface wettability. A microstructured, porous aluminum fin stocks with heterog...

Lomont, Chris C.. Ph.D., Purdue University, May, 2003. Error Correcting Codes on Algebraic Surfaces. Major Professor: Tzuong-Tsieng Moh. Error correcting codes are defined and important parameters for a code are explained. Parameters of new codes constructed on algebraic surfaces are studied. In particular, codes resulting from blowing up points in P are briefly studied, then codes resulting fr...

Surfaces that locally minimize area have been extensively used to model physical phenomena, including soap films, black holes, compound polymers, protein folding, etc. The mathematical field dates to the 1740s but has recently become an area of intense mathematical and scientific study, specifically in the areas of molecular engineering, materials science, and nanotechnology because of their ma...