continuity
List of: Glossary Items
Subjects: Mathematics
Contents: Glossary

In a general sense, continuity describes how two things come together. In ACIS, these items may be two curves that meet in some way, two portions of the same curve, etc. In ACIS, two types of continuity are generally discussed: Cn and Gn, where n refers to the nth derivative.

Cn continuity refers to continuity of the nth derivatives of the equations underlying the entities. This means that the magnitude and direction of the nth derivative must be continuous. Gn continuity refers to continuity of geometric, or parameterization-independent, properties, which means that only the direction of the nth derivative must be continuous.

See also C0 continuity, C1 continuity, C2 continuity, G0 continuity, G1 continuity, and G2 continuity.
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