| 摘要 |
<p>Method of determining free subareas on an area partially covered with rectangular objects and also a method of determining free spaces in a space partially filled with objects in the form of a right parallelepiped, in which method an essentially rectangular area to be covered or a space to be filled is depicted in the form of a two-dimensional or three-dimensional matrix, respectively, each element of the matrix representing a rectangle on the area or a right parallelepiped in the space and it being established for each element whether the corresponding rectangle in the area or the corresponding right parallelepiped in the space is free or occupied, after which the number of rows and columns and, possibly, layers of the matrix is reduced in accordance with a fixed algorithm until the unit matrix has been reached. During the matrix reduction, a search is continuously made for matrix elements which have a first logic value and which are bounded on all sides by elements having a second logic value; such an element indicates the presence of a free space in the (reduced) matrix. A dimension table is also determined for each of the dimensions, the length of each table being linked to the number of rows, columns and, possibly layers, respectively, of the matrix. During the reduction of the matrix, the dimension tables are updated in accordance with a fixed system, with the result that, whenever a free area or a free space is found during the reduction of the matrix, the position of said area or said space can be read off from the table. <IMAGE></p> |
