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- | ** [[rhino:nurbs|NURBs]] Surfaces Concepts ** | + | ======NURBS Surfaces Concepts====== |

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+ | > **Summary:** //Basic concepts of NURBS surface geometry// | ||

- | > **Summary:** //Basic concepts of [[rhino:nurbs|NURBs]] Surfaces Geometry// | ||

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- | | + | One of the main geometry concepts that comes up often when modeling with Rhino is [[rhino:nurbs|NURBS]] curves and surfaces. Non-Uniform Rational Basis Spline (NURBS) is an accurate mathematical representation of curves and surfaces. The shape of the surface is defined by a number of control points and the degree of that surface in each one of the two directions (u- and v-directions). Refer to Rhino Help Glossary for more details. |

- | One of the main geometry concepts that comes up often when modeling with Rhino is [[rhino:nurbs|NURBs]] curves and surfaces. Non-Uniform Rational Basis Spline ( or [[rhino:nurbs|NURBs]] for short) is an accurate mathematical representation of curves and surfaces. The shape of the surface is defined by a number of control points and the degree of that surface in each one of the two directions (u- and v-directions). Refer to | + | |

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- | Rhino Help Glossary for more details. | + | |

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- | [[rhino:nurbs|NURBs]] surfaces can be trimmed or untrimmed. Think of trimmed surfaces as using an underlying [[rhino:nurbs|NURBs]] surface and closed curves to cut a specific shape of that surface. Each surface has one closed curve that define the outer border (//OuterLoop//) and as many non-intersecting closed inner curves to define holes (//InnerLoops//). A surface with outer loop that is the same as that of its underlying [[rhino:nurbs|NURBs]] surface and that has no holes is what we refer to as **untrimmed surface**. | + | [[rhino:nurbs|NURBS]] surfaces can be trimmed or untrimmed. Think of trimmed surfaces as using an underlying [[rhino:nurbs|NURBS]] surface and closed curves to cut a specific shape of that surface. Each surface has one closed curve that define the outer border (//OuterLoop//) and as many non-intersecting closed inner curves that define holes (//InnerLoops//). We refer to a surface with outer loop that is the same as that of its underlying [[rhino:nurbs|NURBS]] surface and that has no holes as **untrimmed surface**. |

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- | The surface on the left is untrimmed. The one on the right is the same surface trimmed with an elliptical hole. Note that the [[rhino:nurbs|NURBs]] structure of the surface doesn’t change when trimming. | + | The surface on the left is untrimmed. The one on the right is the same surface trimmed with an elliptical hole. Note that the [[rhino:nurbs|NURBS]] structure of the surface doesn’t change when trimming. |

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- | A polysurface consists of more than one surface joined together. Each of the surfaces has its own u- and v-direction; therefore, paneling using uv-directions may not continue the paneling pattern across the polysurface edges. Paneling commands can either use surface uv-directions or follow a specified direction. | + | A polysurface consists of more than one surface joined together. Each of the surfaces has its own u- and v-direction. Thus, paneling using uv-directions may not continue the paneling pattern across the polysurface edges. Paneling commands can either use surface uv-directions or follow a specified direction. |

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rhino/nurbssurfaces.txt · Last modified: 2016/01/13 by sandy