B.Sc. Multimedia Computing3D Modelling and Animation Nurbs Modelling.

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B.Sc. Multimedia Computing3D Modelling and Animation Nurbs Modelling

NURBS NURBS in an acronym for Non-Uniform Rational B-Splines Non-Uniform refers to the parameterization of the curve. Non-Uniform curves allow the presence of multi-knots, which are needed to represent Bezier curves. Rational refers to the underlying mathematical representation. This property allows NURBS to represent conics (parabolas, circles, and ellipses) in addition to free-form curves. B-splines are sectional polynomial curves that have a parametric representation.

The Historical Origins of NURBS Splines are types of curves, originally developed for ship building where naval architects needed a way to produce a smooth curve through a set of points. The solution was to place metal weights (knots) at the control points, and bend a thin metal or wooden beam (spline) through the weights. Spline Knots

Anatomy of a NURBS Curve First Vertex Span Knots and Edit Points Control Vertices Hulls Curve Point

Nurbs Sphere: Object Mode Isoparms

Nurbs Sphere: CVs

Nurbs Sphere: Hulls

Nurbs Sphere: Add Isoparm Line follows mouse cursor New Isoparm added

Nurbs Scooter

Using NURBS Geometry NURBS geometry is ideally for representing smooth-flowing surfaces and provide an organic quality to the surface contours. There are many NURBS primitives shapes available in MAYA. These can be combined with each other to form more sophisticated geometry and may also be combined with other geometry such as polygons to form composite geometry for modeling tasks. e.g NURBS aircraft fuselage and polygon wing structures