Creating geometric abstracted models from image-based scene reconstructions is difficult due to noise and irregularities in the reconstructed model. In this paper, we present a geometric modeling method for noisy reconstructions dominated by planar horizontal and orthogonal vertical structures. We partition the scene into horizontal slices and create an inside/outside labeling represented by a ...

Shape analysis has not been considered in remote sensing as extensively as in other pattern recognition applications. However, shapes such as those of geometric patterns in agriculture and irregular boundaries of lakes can be extracted from the remotely sensed imagery even at relatively coarse spatial resolutions. This paper presents a procedure for efficiently retrieving and representing shape...

A connected graph G is said to be neighbourly irregular graph if no two adjacent vertices of G have same degree. In this paper we obtain neighbourly irregular derived graphs such as semitotal-point graph, k^{tℎ} semitotal-point graph, semitotal-line graph, paraline graph, quasi-total graph and quasivertex-total graph and also neighbourly irregular of some graph products.

‎in this paper first we define the morphism between geometric spaces in two different types‎. ‎we construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories‎, ‎for instance $uu$ is topological‎. ‎the relation between hypergroups and geometric spaces is studied‎. ‎by constructing the category $qh$ of $h_{v}$-groups we answer the question...

The concept of ’line complexity’ is often used in cartography in relation to geometric shape of linear features. The concept is particularly important in automated line generalization. Many measures have been applied over the years in an attempt to describe the shape of irregular one-dimensional features in a quantifiable manner. All of them are narrowly focused on single characteristics of com...

This paper introduces vector agents (VA), an approach to impose a systematic framework on the geometric element of Torrens and Benenson’s Geographic Automata System (GAS). Both schemes use vector geometry as an antidote to the geographically unrealistic regular tessellation cellular automata (CA). The work reported here explores the properties of irregular and dynamic VAs in particular, a subcl...

We propose an efficient image-matching method for deformable-object image matching using discrimination of deformable objects and geometric similarity clustering between feature-matching pairs. A deformable transformation maintains a particular form in the whole image, despite local and irregular deformations. Therefore, the matching information is statistically analyzed to calculate the possib...

This review describes the technique of and advances in determination of left ventricular mass by two-dimensional echocardiography. Two-dimensional echocardiographic model systems, which require geometric assumptions, may have limited accuracy in mass determination if ventricular shape is deformed or the architecture is irregular, as it may be in various disease states. Recently developed techni...

We present a cut cell method in R for enforcing Dirichlet and Neumann boundary conditions with nearly incompressible linear elastic materials in irregular domains. Virtual nodes on cut uniform grid cells are used to provide geometric flexibility in the domain boundary shape without sacrificing accuracy. We use a mixed formulation utilizing a MAC-type staggered grid with piecewise bilinear displ...