 Virtual basal ring

The virtual basal ring is the geometric reference formed from the lowest attachment points of the three aortic valve leaflets. It specifies a basal plane of the aortic root; it is not the entire crown-shaped tissue attachment represented by the anatomical aortic annulus.^[ref]

Three noncollinear landmarks determine a plane. For landmark position vectors ${\mathbf{p}}_1,{\mathbf{p}}_2,{\mathbf{p}}_3$, a normal isThe reference plane then obeys $\mathbf{n}\cdot (\mathbf{x}-{\mathbf{p}}_1)=0$. Near-collinear landmarks make $\Vert \mathbf{n}\Vert$ small, illustrating geometrically why landmark identification affects orientation. These equations construct a reference, not a ring of newly discovered tissue.

A plane alone also supplies no unique anatomical outline. Three points can define a circumcircle, but choosing that circle is a modeling convention; the actual lumen outline in that plane can be noncircular. For an original ellipse with semiaxes 15 and 10 mm, the enclosed area is $150\pi$ mm${}^2$ and the equal-area circular diameter is $2\sqrt{150}\simeq 24.49$ mm. Neither the 30 mm major diameter nor the 20 mm minor diameter equals that number.

The virtual basal ring is useful because it gives different images a specified basal reference. A measurement must still identify its landmarks, outline, cardiac cycle phase and diameter or area convention. It should not silently substitute the sinotubular junction or the longer three-dimensional leaflet attachment path for this basal reference.