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An ellipse (red), its evolute (blue), and its medial axis (green). The symmetry set, a super-set of the medial axis, is the green and yellow curves. One bi-tangent circle is shown. (a) A simple 3d object. (b) Its medial axis transform. The colors represent the distance from the medial axis to the object's boundary.
Definition [ edit ] Every dihedral group is generated by a rotation r and a reflection; if the rotation is a rational multiple of a full rotation, then there is some integer n such that r n is the identity, and we have a finite dihedral group of order 2 n .
The medial graph of any plane graph is a 4-regular plane graph. For any plane graph G, the medial graph of G and the medial graph of the dual graph of G are isomorphic. Conversely, for any 4-regular plane graph H, the only two plane graphs with medial graph H are dual to each other. [4]
Medial axis, in geometry the set of all points having more than one closest point on an object's boundary; Medial graph, another graph that represents the adjacencies between edges in the faces of a plane graph; Medial triangle, the triangle whose vertices lie at the midpoints of an enclosing triangle's sides; Polyhedra: Medial deltoidal ...
Coronal axis, medial-lateral axis, or frontal axis is the axis perpendicular to the sagittal plane, i.e., the one formed by the intersection of the coronal and the transversal planes. [8] Extension and flexion are the movements of limbs within the sagittal plane. [9] Abduction and adduction are terms for movements of limbs within the coronal ...
A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).
Graphs as defined in the two definitions above cannot have loops, because a loop joining a vertex to itself is the edge (for an undirected simple graph) or is incident on (for an undirected multigraph) {,} = {} which is not in {{,},}. To allow loops, the definitions must be expanded.
showing on a horizontal axis and on a vertical axis, where is a phase space trajectory. Scatterplot : A scatter graph or scatter plot is a type of display using variables for a set of data. The data is displayed as a collection of points, each having the value of one variable determining the position on the horizontal axis and the value of the ...