From a new stand point we defined the measure of roundness corresponded to the amount of approach to true circle by introducing the conception of information theory, and compared this new measure with that of the former absolute roundness.
The characteristics of the new defined roundness are as follows.
(1) The measured value is regarded as sampling function from ensemble.
(2) The number of measuring points by setting up band limit of irregular circle is decided.
(3) The factor of error is contained.
(4) By quantitative expression of the amount of approach to circle, the comparison of data becomes possible.
(5) In the mass production of mechanical parts of cylinder or ball shape, a new standard of judgement of quality is given.
(6) This thinking method is extended to the definition of sphericity.
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