So we know immediately that this is a quadric, a quadratic surface.
2.
Apollonius'problem can be extended from the plane to the sphere and other quadratic surfaces.
3.
These may be identified as those quadratic surfaces all of whose cross sections perpendicular to the axis are circular.
4.
*PM : tangent plane of quadratic surface, id = 6681-- WP guess : tangent plane of quadratic surface-- Status:
5.
*PM : tangent plane of quadratic surface, id = 6681-- WP guess : tangent plane of quadratic surface-- Status:
6.
Although it offered credible 3D performance, its use of quadratic surfaces was anything but popular, and was quite different than typical polygon rendering.
7.
Conceptually, in the Levenberg Marquardt algorithm, the objective function is iteratively approximated by a quadratic surface, then using a linear solve, the estimate is updated.
8.
Even more generally, one can consider the problem of four tangent curves that result from the intersections of an arbitrary quadratic surface and four planes, a problem first considered by Charles Dupin.
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