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Object space is the 3D real number space, which is denoted by the symbol
R3. A point in object space is expressed as a coordinate triple (i.e., three parameters), denoted by (x,y,z). In
ACIS, object space may also be referred to as
3-space or
xyz-space.
ACIS has been designed around the concept that everything is modeled in a single number space called the
model world, which is a subset of object space. The origin, the point (x,y,z) = (0,0,0), is at the center of the model world.
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Surface parameter space is the 2D real number space, which is denoted by the symbol
R2. A point in surface parameter space is expressed as a coordinate pair (i.e., two parameters), denoted by (u,v). In
ACIS, surface parameter space may also be referred to as
uv-parameter space,
uv-space, or simply as
parameter space.
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Curve parameter space is the 1D real number space, which is denoted by the symbol
R1 (or simply
R). A point in curve parameter space is expressed as a single coordinate (i.e., one parameter), denoted by
t. In
ACIS, curve parameter space may also be referred to as
the real line. The term
parameter space alone refers to
surface parameter space.
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Figure 3-3 illustrates the relationship between object space, parameter space, and the real line in
ACIS. This figure also lists the
ACISC++ classes that represent entities in each of these number spaces and the
ACIS math classes that map from one to the other.
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Figure 3-3. ACIS Real Number Spaces
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