if one chooses the Arabic numeral representation, it is easy to discover whether a number is a power of 10 but difficult to discover whether it is a power of 2. If one chooses the binary representation, the situation is reversed. Thus, there is a trade-off; any particular representation makes certain information explicit at the expense of information that is pushed into the background and may b...
In perception, perhaps the nearest anyone came to the level of compuational theory was Gibson (1966). Gibson's important contribution was to take the debate away from the philosophical considerations of sense-data and rthe affective qualities of sensation and to note instead that the important thing about the senses is that they are channels for perception of the real world outside or, in the c...
1. The central tenet of different levels of explanation is that to understand what vision is and how it works, an understanding at only one level is insufficient. It is not enough to be able to describe the responses of single cells, nor is it enough to be able to predict locally the results of psychophysical experiments. Nor is it enough even to be able to write computer programs that perform ...
The reason for this is that the nature of the computations that underlie perception depends more upon the computational problems that have to be solved than upon the particular hardware in which their solutions are implemented. To phrase the matter another way, an algorithm is likely to be understood more readily by understanding the nature of the problem being solved than by examining the mec...
For the subject of vision, there is no single equation or view that explains everything. Each problem has to be addressed from several points of view-as a problem in representing information, as a computation capable of deriving that representation, and as a problem in the architecture of a computer capable of carrying out both things quickly and reliably.
For if we are capable of knowing what is where in the world, our brains must somehow be capable of representing this information-in all its profusion of color and form, beauty motion, and detail. The study of vision must therefore include not only the study of how to extract from images the various aspects of the world that are useful to us, but also an inquiry into the nature of the internal r...
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