In geometry, the **symmetry set** is a method for representing the local symmetries of a curve, and can be used as a method for representing the shape of objects by finding the topological skeleton. The medial axis, a subset of the symmetry set is a set of curves which roughly run along the middle of an object.

Read more about Symmetry Set: The Symmetry Set in 2 Dimensions, The Symmetry Set in *n* Dimensions, The Symmetry Set As A Bifurcation Set

### Other articles related to "symmetry set, set":

**Symmetry Set**As A Bifurcation Set

... The

**symmetry set**is then the bifurcation

**set**of the family of distance squared functions ... it is the

**set**of such that has a repeated singularity for some The

**symmetry set**is then the

**set**of such that there exist with, and together with the ...

... The medial axis of an object is the

**set**of all points having more than one closest point on the object's boundary ... The medial axis is a subset of the

**symmetry set**, which is defined similarly, except that it also includes circles not contained in S ... (Hence, the

**symmetry set**of S generally extends to infinity, similar to the Voronoi diagram of a point

**set**.) If S is given by a unit speed parametrisation, and is the unit tangent vector at each point ...

### Famous quotes containing the words set and/or symmetry:

“He could walk, or rather turn about in his little garden, and feel more solid happiness from the flourishing of a cabbage or the growing of a turnip than was ever received from the most ostentatious show the vanity of man could possibly invent. He could delight himself with thinking, “Here will I *set* such a root, because my Camilla likes it; here, such another, because it is my little David’s favorite.””

—Sarah Fielding (1710–1768)

“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial *symmetry* of their position and movements.”

—George Gordon Noel Byron (1788–1824)