Many problems in biological information processing require the solution to a complex system of equations in many unknown variables. An equation-counting procedure is described for determining whether such a system of equations will indeed have a unique solution, and under what conditions the solution should be interpreted as ‘correct’. Three examples of the procedure are given for illustration, one from auditory signal processing and two from vision.
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References
1.
EvansR M, 1948An Introduction to Color (New York: John Wiley)
KendigK, 1977Elementary Algebraic Geometry (Charlottesville, VA: University of Virginia Press).
8.
LeithE NChenHChengY S, 1981“Diffraction-limited imaging through a phase-distorting medium”Optics Letters64–6.
9.
MarrD C, 1976“Early processing of visual information”Philosophical Transactions of the Royal Society of London Series B275483–524.
10.
MarrD C, 1982Vision: A Computational Investigation into the Human Representation and Processing of Visual Information (San Francisco, CA: W H Freeman).
11.
MeiriA Z, 1980“On monocular perception of 3–D moving objects”IEEE Transactions on Pattern Analyses & Machine IntelligencePAMI-2582–583.
12.
MilnorJ W, 1978Topology from the Differential Viewpoint (Charlottesville, VA: University of Virginia Press).
13.
PentlandA, 1980Finding the Illuminant DirectionMassachusetts Institute of Technology, Cambridge, MA, MIT AI Memo 584.
14.
RubinJ MRichardsW A, 1981Color Vision: When are Changes Material?Massachusetts Institute of Technology, Cambridge, MA, MIT AI Memo 631.
15.
ThomasG B, 1951Calculus and Analytic Geometry (Reading, MA: Addison-Wesley).
16.
UllmanS, 1979The Interpretation of Visual Motion (Cambridge, MA: MIT Press).
17.
Van der WaerdenB L, 1940Modern Algebravolume II (New York: F Ungar).
18.
WaltzD, 1975“Understanding line drawings of scenes with shadows” in The Psychology of Computer Vision Ed. WinstonP (New York: McGraw-Hill).
19.
WitkinA, 1980Shape from ContourMassachusetts Institute of Technology, Cambridge, MA, MIT AI Technical Report 589.