Date: Fri, 29 Mar 2024 08:46:40 +0000 (UTC)
Message-ID: <1206854982.551.1711702000783@ip-10-0-0-233.us-west-2.compute.internal>
Subject: Exported From Confluence
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<=
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Al's Car (from Toy Story 2) was modele=
d entirely with trimmed NURBS
Prior to the advent of s=
ubdivision surfaces, non-uniform rational b-splines (or NURBS) were the=
industry standard when it came to the creation of smooth surfaces.
Like subdivision surfaces, NURBS are inherently smooth surfaces and suff=
er none of the faceting artifacts that are associated with polygonal approx=
imations. In fact, RenderMan will always efficiently render a NURB as a smo=
oth surface. Unlike subdivision surfaces, however, NURBS have a inherent to=
pological constraint: a NURB's control surface is a rectangular mesh of row=
s and columns. While this means a NURB's parametric space for texturing is =
easy to understand (it's a rectangle!), it also means that when creating a =
complex organic shape like a human character, it is now the job of the mode=
ler to divide that complex shape into a collection of rectangular pieces, e=
ach of which is a separate NURB. Moreover, if more detail is required at so=
me section of the mesh which requires the addition of extra knots (an inter=
section of a row and a column), additional rows and columns must be added a=
cross the entire NURB in order to satisfy the rectangular mesh constraint. =
This can very quickly lead to unwieldy models.
In order to help with these limitations, trimmed <=
strong>NURBS can be used. A trimcurve is an arbitrary region, specified in UV parametric space, that can be=
used to cut away the NURB. This feature is unique to NURBS. While this hel=
ps with creating complicated fillets and joins, trimming is expensive, pron=
e to numerical error, and it can be difficult to maintain smoothness and ab=
solute continuity at the trimcurve seam, especially if the model undergoes =
deformation during animation. Nonetheless, modeling programs that fully sup=
port trimmed NURBS have been and continue to be a viable workflow in conjun=
ction with RenderMan.
It's also worth noting that NURBS remain the only modeling primitive (be=
sides the built-in Sphere primitive) that can exactly and easily represent =
a sphere!
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