On trapezoids with an inscribed circle

A New Palmprint Segmentation Method Based on an Inscribed Circle

An Efficient Algorithm to Calculate the Center of the Biggest Inscribed Circle in an Irregular Polygon

In this paper, an efficient algorithm to find the center of the biggest circle inscribed in a given polygon is described. This work was inspired by the publication of Daniel Garcia-Castellanos & Umberto Lombardo and their algorithm [1] used to find a landmass’ poles of inaccessibility. Two more efficient algorithms were found, one of them only applicable when the problem can be described as a l...

Covering Bitmap with Trapezoids is Hard

Each sub-series of a time series can be mapped to a point on a plane whose two coordinates represent the starting time and the ending time, respectively. In certain applications, points with similar properties are likely to be clustered in a special trapezoid shape. To save these points in a compact way, the following optimization problem needs to be studied: nd the minimum number of trapezoids...

Characterizations of Trapezoids

We review eight and prove an additional 13 necessary and sufficient conditions for a convex quadrilateral to be a trapezoid. One aim for this paper is to show that many of the known properties of trapezoids are in fact characterizations.

an inscribed cylindrical seal with ostrich image from lama cemetery

in the third season excavation of lama cemetery (chal shahin lama), a cylindrical seal with inscription was found and because of its significance, it was introduced, compared and analyzed. existence of this seal indicates the continuation of nomadic practices of the people of this cemetery in spite of change of material culture (for example, ceramic). the seal of lama and its grave reflect the ...