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Adding local short description: "3D model", overriding Wikidata description "3D model whose vertex geometry is produced by rotating the points of a spline or other point set around a fixed axis" (Shortdesc helper)
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Solid centre not needed on real lathe either, e.g appropriate centres or faceplate mounting.
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In [[3D computer graphics]], a '''lathed''' object is a 3D model whose vertex geometry is produced by rotating the points of a [[spline (mathematics)|spline]] or other point set around a fixed axis. The lathing may be partial; the amount of rotation is not necessarily a full 360 degrees. The point set providing the initial source data can be thought of as a cross section through the object along a plane containing its axis of radial symmetry.
In [[3D computer graphics]], a '''lathed''' object is a 3D model whose vertex geometry is produced by rotating the points of a [[spline (mathematics)|spline]] or other point set around a fixed axis. The lathing may be partial; the amount of rotation is not necessarily a full 360 degrees. The point set providing the initial source data can be thought of as a cross section through the object along a plane containing its axis of radial symmetry.


The '''lathe''' is so named because it produces the same type of object that a real [[lathe]] would produce: an object that is symmetrical about an axis of rotation. However, unlike objects produced by a real lathe, the object can have an axis of rotation through a hole (e.g. a [[torus]]).
The '''lathe''' is so named because it produces the same type of object that a real [[lathe]] would produce: an object that is symmetrical about an axis of rotation.


Lathes are very similar to surfaces of revolution. However, lathes are constructed by rotating a curve defined by a set of points instead of a [[Function (mathematics)|function]]. Note that this means that lathes can be constructed by rotating closed curves or curves that double back on themselves (such as the aforementioned torus), whereas a surface of revolution could not because such curves cannot be described by functions.
Lathes are very similar to surfaces of revolution. However, lathes are constructed by rotating a curve defined by a set of points instead of a [[Function (mathematics)|function]]. Note that this means that lathes can be constructed by rotating closed curves or curves that double back on themselves (such as the aforementioned torus), whereas a surface of revolution could not because such curves cannot be described by functions.

Revision as of 04:43, 30 March 2021

Rotating a curve

In 3D computer graphics, a lathed object is a 3D model whose vertex geometry is produced by rotating the points of a spline or other point set around a fixed axis. The lathing may be partial; the amount of rotation is not necessarily a full 360 degrees. The point set providing the initial source data can be thought of as a cross section through the object along a plane containing its axis of radial symmetry.

The lathe is so named because it produces the same type of object that a real lathe would produce: an object that is symmetrical about an axis of rotation.

Lathes are very similar to surfaces of revolution. However, lathes are constructed by rotating a curve defined by a set of points instead of a function. Note that this means that lathes can be constructed by rotating closed curves or curves that double back on themselves (such as the aforementioned torus), whereas a surface of revolution could not because such curves cannot be described by functions.

See also