geodesic

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Related to Geodesics: geodesic line

geodesic

1. relating to or involving the geometry of curved surfaces
2. the shortest line between two points on a curved or plane surface

geodesic

[¦jē·ə¦des·ik]
(mathematics)
A curve joining two points in a Riemannian manifold which has minimum length.

geodesic

geodesic
Great circle is the shortest distance between two points.
The shortest distance between two points on any surface. The shortest distance between two places on earth derived mathematically is called a geodetic line.
References in periodicals archive ?
We note that even if the trajectory-segment [gamma] is not contained in the geodesic ball of the injectivity radius at [gamma](0) centered at [gamma](0) we can define a smooth variation of geodesics satisfying the above conditions.
In addition, null geodesic curvature intuitively says that geodesics have no curvature other than the curvature of the manifold itself.
Electrical Geodesics Chief Executive Officer Don Tucker, said, We have worked with ElMindA over a number of years and are pleased that their research efforts have led to the BNA system receiving FDA clearance.
By a similar argument used in the case (a), the geodesics that joins the end points of the interval [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] converges to [theta] in the Hausdorff metric, when r goes to infinity.
Draw the arc ADB which is the geodesic between A and B on the surface of the sphere.
CAD models mainly consist of planes and quadric surfaces, and functional features generally lie on a few surfaces, an extended Gaussian image and geodesics approach for local shape representation and extraction is proposed.
2, that is to say, as a global geodesic or a minimizing geodesic; however, we need now to deal with a special type of local geodesics: simple closed geodesics, which obviously can not be minimizing geodesics.
This was especially true of the smaller-scale domes, where geodesics met domesticity.
Keywords: planar maps, scaling limits, random trees, Gromov-Hausdorff distance, Hausdorff dimension, topological type, geodesics
With imposed material limitations, this path is generated by geodesics.
Then one obtains a well-defined surface area enclosed by the path generated by the evolution of the system plus the geodesic closure.