Computing concave hull with closed curve smoothing: performance, concaveness measure and applications

A New Concave Hull Algorithm and Concaveness Measure for n-dimensional Datasets

Convex and concave hulls are useful concepts for a wide variety of application areas, such as pattern recognition, image processing, statistics, and classification tasks. Concave hull performs better than convex hull, but it is difficult to formulate and few algorithms are suggested. Especially, an n-dimensional concave hull is more difficult than a 2or 3dimensional one. In this paper, we propo...

Alpha-Concave Hull, a Generalization of Convex Hull

Bounding hull, such as convex hull, concave hull, alpha shapes etc. has vast applications in different areas especially in computational geometry. Alpha shape and concave hull are generalizations of convex hull. Unlike the convex hull, they construct non-convex enclosure on a set of points. In this paper, we introduce another generalization of convex hull, named alpha-concave hull, and compare ...

Asymptotic Distribution of Divergence Measure with Applications

Smoothing the ROI Curve for Scientific Data Management Applications

Forward Rate Curve Smoothing

This paper reviews the forward rate curve smoothing literature. The key contribution of this review is to link the static curve fitting exercise to the dynamic and arbitrage-free models of the term structure of interest rates. As such, this review introduces more economics to an almost exclusively mathematical exercise, and it identifies new areas for research related to forward rate curve smoo...