J. Keesling has shown that for connected spaces X the natural inclusion e : X → βX of X in its Stone-Čech compactification is a shape equivalence if and only if X is pseudocompact. This paper establishes the analogous result for strong shape. Moreover, pseudocompact spaces are characterized as spaces which admit compact resolutions, which improves a result of I. Lončar.

middle of squares, one of the components of physical aspect is considered as an appropriateindicator in designing successful urban squares, which consequently promotes visual quality. the present study aims todetermine how the above mentioned aspect was presented in the middle-ages and renaissance within italian squares.considering the aim of the investigation, library studies as well as visual...

conclusion a significant relationship exists between the type of facial skeletal classification and the shape of the sella turcica; as in class iii patients, sella turcica bridge was reported with a higher frequency. also, sella turcica had a significantly higher length in these patients than in those with class i and class ii facial skeletal types. results sella turcica had normal morphology i...

Skeleton can be viewed as a compact shape representation in that the shape can be completely reconstructed form the skeleton. We present a novel method for skeleton pruning that is based on this fundamental skeleton property. We iteratively remove skeleton end braches with smallest relevance for shape reconstruction. The relevance of branches is measured as their contribution to shape reconstru...

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...