Determining the Volume Represented by an Irregularly Shaped Cross-Sectional Area.

摘要

The problem of determining apparent volume from a two dimensional shape occurs when a volume is desired to differentiate shapes for pattern recognition. This differentiability for pattern recognition becomes especially important when examining a plane projection of a three dimensional object. In addition, the same problem occurs in the determination of liquid content when the object has been sensed by a two dimensional detector, as the Knollenberg sensing device. The sensors give a picture of the shapes which have been projected onto the two dimensional plane parallel to the sensor orientation. Calculation of the liquid water content relies on some approximation to the volume of shapes so seen. This paper details a method which can be used to obtain volumes of revolution, when the two-dimensional shape, however irregular, is known by a matrix of binary sensors.