American Journal of Mechanical Engineering, 2013, Vol. 1, No. 6, 149-154
Available online at http://pubs.sciepub.com/ajme/1/6/1
© Science and Education Publishing
DOI:10.12691/ajme-1-6-1
VUDJOOD Algebra Theory from the Viewpoint of 3D
Object Recognition
Amin Mirahmadi, Kamran Vafaee, Behdad Geranmehr
*
Mechanical Engineering, Iran University of Science and Technology (IUST), Tehran, Iran
*Corresponding author: geranmehr.behdad@email
Received August 19, 2013; Revised November 13, 2013; Accepted November 19, 2013
Abstract The goal of VUDJOOD (existence) algebra is to provide the capability of visual intelligence for
intelligent machines that are like humans. These machines should visually recognize surrounding objects and
machines and finally decide which manufacturing disciplines, to be applied on the object. The present work is an
effort to accelerate achieving this purpose. In this paper we focused on the 3D recognition process using VUDJOOD
algebra theory. 3D Rotary Raster Photogrammetric Scanner (3D RRP Scanner) is designed and built at the Machine
Tools Control lab of IUST. This scanner is used to generate the points-cloud of objects. Then these points-clouds are
checked in the VUDJOOD equations. Finally the object which has the most overlapping with the points-cloud is
recognized as the desired object. Objects identifying Algorithm has been studied for a few objects with simple
geometry using the experimental tests. Dimensional accuracy of detection results is acceptable.
Keywords: VUDJOOD algebra, computer integrated manufacturing, 3D laser scanner, 3D object recognition
Cite This Article: Amin Mirahmadi, Kamran Vafaee, and Behdad Geranmehr, “VUDJOOD Algebra Theory
from the Viewpoint of 3D Object Recognition.” American Journal of Mechanical Engineering 1, no. 6 (2013):
149-154. doi: 10.12691/ajme-1-6-1.
1. Introduction
In recent years, many researchers have presented
different methods for identifying three-dimensional
objects. The ultimate goal of identifying three dimensional
objects is access to technology of making robot eyes that
acts Similar to the human eyes. Most studies are based on
image processing of 2D image and artificial neural
networks [1,2,3,4,5].
Alternatively, it is possible to estimate the 3D object
shape from its already available various 2D views.
Moreover, the object can be viewed from any angle
regardless of the acquisition process, and displayed
through standard rendering techniques. Another source of
information to capture 3D object shape is the direct 3D
information acquired actively by laser range scanners or
other coded light projecting systems. Such 3D data
acquisition systems can be very precise, but have several
drawbacks [7-19].
VUDJOOD algebra is a mathematical method that
describes a domain or region. The application of visual
artificial intelligence in manufacturing will be the next
developmental step in production technology. Operators in
this field will be universal humanoid robots that can
visually recognize surrounding objects and machines.
These robots will work with mathematical models of the
surrounding objects and machines. VUDJOOD algebra
can accelerate the development of autonomic-acting
machines and provide a tool for shape manufacturing [6].
It has been shown that body can be described by
mathematical operations. We know that all machine parts
are information carriers programmed to perform a
designer-defined task. Machines are mechanical
computers, and the manufacturing process is a method of
programming. The human environment is full of bodies
that can be influenced and changed by other humans or
machines. Every small relative movement or change must
be calculated by brain internal virtual reality. Because of
this internal virtual reality, a person knows what would
occur. The result of this calculation capability is visual
intelligence. To create intelligent machines that are like
humans, the mathematical laws of imagination must be
fully understood. VUDJOOD algebra provides a fitting
mathematical tool for comprehension and can be applied
to different manufacturing disciplines. Shape manufacturing
is not a human invention. Since the beginning of time,
nature has created bodies with the characteristic laws of
VUDJOOD algebra [6].
In this paper, we present our opinions on VUDJOOD
algebra theory from the viewpoint of 3D object identification.
Firstly, we analyze characteristics of VUDJOOD algebra
that are adapted to the study of object identification.
Secondly, we present our opinions on object identification.
Finally, we introduce our work on the points- cloud of
three-dimensional scanning device which is used for
identification i.e. Coordinates of points checked out in the
VUDJOOD algebra equations of geometrical models.
2. VUDJOOD Algebra Theory
VUDJOOD algebra is a mathematical method that
describes a domain or region, which can be used for
designing manufacturing software [6].