Solid angle polynomials and its applications in geometric combinatory

In remote sensing applications, a solid angle has a wide appearing, therefore it's important to know what it means. The solid angle subtended by a surface S is characterized as the surface range of a unit circle secured by the surface's projection onto the circle. Solid angle is effectively, an observer that can be used as a measure of how big an object looks to be. The paper is aimed to find the solid angle polynomials for a polytope of dimension d where it is proved in a main theorem. Some applications of these polynomials are presented to show it's important.