ABSTRACT. We provide a new proof of the following inequality: the maximum curvature kmax and the enclosed area A of a smooth Jordan curve satisfy kmax ≥ p pi/A. The feature of our proof is the use of the curve shortening flow. This is a preliminary version. The final version will appear in Archiv

, which have various widths and brightnesses that change temporally as a result of fluctuations in the amount of blood in the vein, depending on temperature, physical conditions, etc. To robustly extract the precise details of the depicted veins, we developed a method of calculating local maximum

We present a geometric analysis of the model of Stirling et al. [14]. In particular we analyze the curvature of a heart rate time series in response to a step like increment in the exercise intensity. We present solutions for the point of maximum curvature which can be used as a marker

We present a geometric analysis of the model of Stirling. In particular we analyze the curvature of a heart rate time series in response to a step like increment in the exercise intensity. We present solutions for the point of maximum curvature which can be used as a marker of physiological

the centroid, distance ratios and relative positions) extracted at high curvature points. The experimental results and comparisons show the performance of the proposed technique. This technique is also suitable to be extended to the retrieval of 3-D objects. Keywords: Contour matching, object retrieval

and modulus of this layer can reduce stress at that interface to zero, with no loss of curvature and only a small loss in force. A polypyrrole (PPy)/conducting polymer/gold trilayer is used as a model system, with the aim of reducing stress at the weak polymer/gold interface. For a 450 nm thick PPy layer

Image registrations have been a subject of extensive study over the last decade. They appear in numerous applications including Computer Vision, Pattern Recognition, Medical Image Analysis and Remotely Sensed Image Processing. We introduce a non-iterative geometric-based method to register an image using a novel set of geometric landmarks residing on an extracted 2D contours from the image. These landmarks are intrinsic and are computed from the differential geometry of the curve. We exploit the invariant properties of maximumcurvature points that are local and preserved under the affine and some perspective transformation. Geometric invariant exploits coplanar five-point invariant constructed from 4 consecutive landmarks and a centroid. This invariant is preserved not only in affine map but weak perspective map as well. To reduce the sensitivity of the landmarks to noise, we use a B-Spline surface representation that smoothes out the curve prior to the computation of the landmarks. The alignment is achieved by establishing correspondences between the landmarks after a conformal sorting based on derived absolute invariant. The experiments have shown that the purposed methods are robust and promising even in the presence of noise.

level set of a higher dimensional surface, and evolves the surface such that the zero level set converges on the boundary of the object to be segmented. At each step of the surface evolution, we estimate the maximum a posteriori (MAP) position and shape of the object in the image, based on the prior

curvature esti-mates, in terms of a curvature consistency relation. Because all curve information is quantized, special care must be taken to obtain accurate estimates of trace points, tangents and curvatures. This issue is ad-dressed specifically by the introduction of a smoothness constraint and a maximum

of classification performance is achieved for the proposed classification method of which such feature is included in the feature space for the Maximum Likelihood based classification method. Keywords- polarimetric SAR; polarization signature; wavelet MRA. I.