In this paper we present a novel 2D shape context preserving image manipulation approach which constructs and manipulates a 2D mesh with a new differential mesh editing algorithm. We introduce a novel shape context descriptor and integrate it into the deformation framework, facilitating shape-preserving deformation for 2D anatomical illustrations. Our new scheme utilizes an analogy based shape ...

Article history: Received 31 October 2009 Received in revised form 15 March 2010 Accepted 17 March 2010 Available online 21 March 2010

In this paper we consider some questions related to the orientation of shapes with particular attention to the situation where the standard method does not work. There are irregular and non symmetric shapes whose orientation cannot be computed in a standard way, but in the literature the most studied situations are those where the shape under consideration has more than two axes of symmetry or ...

This paper presents a compact and efficient shape signature that can be applied to shape retrieval from handdrawn sketches. The two proposed invariant features that constitute our affine invariant signature are: (a) angle between spoke vectors, and (b) cumulated normalized area between consecutive spoke vectors. The signature can be computed efficiently from an input shape and supports fast sim...

The integrability condition called shape invariance is shown to have an underlying algebraic structure and the associated Lie algebras are identified. These shape-invariance algebras transform the parameters of the potentials such as strength and range. Shape-invariance algebras, in general, are shown to be infinite-dimensional. The conditions under which they become finitedimensional are explo...

We derive the limit shape of Young diagrams, associated with growing integer partitions, with respect to multiplicative probability measures underpinned by the generating functions of the form F(z) = ∞l=1F0(zl) (which entails equal weighting among possible parts l ∈ N). Under mild technical assumptions on the function H0(u) = ln(F0(u)), we show that the limit shape ω∗(x) exists and is given by ...

In non-invasive thermal diagnostics for the location of a tumor, accurate correlations between the thermal image on skin surface and interior human physiology are often desired, which require general solutions for the bioheat equation. In this paper we use sensitivity analysis in order to compute the shape derivative of the funtional that provides the minimum (the geometrical position of the tu...

In some sense, the world is composed of shapes and words, of continuous things and discrete things. The recognition and study of continuous objects in the form of shapes occupies a significant part of the effort of unraveling many geometric questions. Shapes can be represented with great generality by objects called currents. While the enormous variety and representational power of currents is ...

We propose a new family of risk measures, called GlueVaR, within the class of distortion risk measures. Analytical closed-form expressions are shown for the most frequently used distribution functions in financial and insurance applications. The relationship between GlueVaR, value-at-risk, and tail value-at-risk is explained. Tail subadditivity is investigated and it is shown that some GlueVaR ...