Joseph Mundy did early work in
computer vision and projective geometry using
LISP, when computer vision still was a new area of research. In 1987 he presented his work in a video, which now is available for free a
archive.org
Here is an extract of the interview, which took place in the end of the video.
''"What do students need to learn to be prepared to meet the challenges?"'' -
''"I would like to comment on the necessary courses a student should take to really be prepared to carry out research in model-based vision. As we can see the
geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is ...
of
image projection and the
mathematics of
transformation
Transformation may refer to:
Science and mathematics
In biology and medicine
* Metamorphosis, the biological process of changing physical form after birth or hatching
* Malignant transformation, the process of cells becoming cancerous
* Tran ...
is a very key element in studying this field, but there are many other issues the student has to be prepared for. If we are going to talk about
segmenting images and getting good geometric clues, we have to understand the relationship between the intensity of image data and its underlying geometry. And this would lead the student into such areas as
optics
Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultrav ...
,
illumination theory, theory of
shadow
A shadow is a dark area where light from a light source is blocked by an opaque object. It occupies all of the three-dimensional volume behind an object with light in front of it. The cross section of a shadow is a two-dimensional silhouette, ...
s and the like. And also the mathematics underlying this kind of computations would of course require
signal processing
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as sound, images, and scientific measurements. Signal processing techniques are used to optimize transmissions, ...
theory,
fourier transform theory and the like. And in dealing with algebraic surfaces such as this curved
surface
A surface, as the term is most generally used, is the outermost or uppermost layer of a physical object or space. It is the portion or region of the object that can first be perceived by an observer using the senses of sight and touch, and is ...
s as we talked about here, courses in
algebraic geometry and higher pure forms of
algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics.
Elementary ...
will prove to be necessary in order to make any kind of progress in research to handle curved surfaces. So, I guess the bottom line of what I'm saying is: math courses, particularly those associated with geometric aspects will be key in all of this."''
See also
*
Computer Vision
External links
University video communication on model-based computer vision*
ttp://www.engin.brown.edu/faculty/Mundy/ A biographybr>
CV
Computer vision researchers
Living people
Rensselaer Polytechnic Institute alumni
Rensselaer Polytechnic Institute faculty
General Electric people
Brown University faculty
Year of birth missing (living people)
{{compu-bio-stub