From Curves to a Surface

Goals

This chapter introduces the basic features of the surface and guides how to create and modify surfaces.

Content in a nutshell

 Creating a surface

  1. Create a surface using curves
  2. Extrude/loft/sweep/revolve one or two curves to a surface.

 

Modifying a surface

  1. Transform entity (control points, scale, drag)
  2. Intersect (trim, extend, blend, offset)

Create a surface from one or two curves

Extrude one curve to create a surface.

All pictures in this page: Fanyi Jin

Loft two curves to create a surface.

Sweep one curve to create a surface: fit a surface through a series of profile curves that define the surface cross-sections (the magenta line in the picture) and one curve that defines a surface edge (the red curve in the picture) (from rhino command: sweep1).

Sweep two curves to create a surface: fit a surface through a series of profile curves that define the surface shape (the red curves in the picture) and two curves that define the surface edges (the magenta lines in the picture) (from rhino command: sweep2).

Revolve one curve to create a surface: create a surface by revolving a profile curve that defines the surface shape (the red curve in the picture) around an axis (the magenta line in the picture) (from rhino command: revolve).

Modify surface

Modify the surface by its control points. Note that similar to the  NUBS curve, the control points are not on the surface.

Transform the surface entity. Regard the surface as an entity, just like changing the ratio of length, width, and height of a cuboid, changing the overall ratio of the surface.

Trim the surface.

Extend the edge of the surface.

Blend two surfaces. Similar to fillet two curves, build a surface to connect two surfaces.

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