Quadric Examples¶
| Example | Keywords | Description |
|---|---|---|
| Cone From Conic | quadric, conic, cone, lift, translator, outer product | lift a 2D conic into a 3D cone through an apex |
| Conic Demo | quadric, conic, rotor, conic_from_points, refine, analyze, slider | reconstruct a conic from 5 points and rotate it with a slider |
| Conic Intersection Demo | quadric, conic, intersection, pencil, PointSet, Q2 | intersect two 2D conics (a point tuple) |
| Fit Conic Quadric | quadric, conic, fitting, outer product, SVD, nullity | fit a conic/quadric from points with the GA primitives |
| General Quadric | quadric, ray, Quadric3D, hyperboloid, paraboloid, cone, translator | draw arbitrary quadrics via entities + GA translation |
| Plane Pair Demo | quadric, plane pair, degenerate, refine, analyze, Q3 | degenerate quadric (plane pair) analysis + rendering |
| Point Tuples Demo | quadric, point tuple, PointSet, join, analyze, Q3, Cayley-Bacharach | Q3 point tuples (1–7 points) in distinct colors |
| Quadric3D Demo | quadric, quadric3d, rotor, slider, dropdown, ellipsoid, join, analyze | reconstruct a quadric from 9 points and rotate it |
| Quadric3D Raycast | quadric, quadric_from_points, ray, refine, analyze, join | reconstruct a quadric from 9 points and ray-render it |
| Quadric Intersection Demo | quadric, intersection, pencil, plane pair, conic, curve, Q3 | intersect two 3D quadrics (Perwass pencil) |
| Tolerant Classification | quadric, classification, tolerance, cone, refine, Geometry | classify a noisy quadric within a tolerance |
Keywords¶
Cayley-Bacharach · Geometry · PointSet · Q2 · Q3 · Quadric3D · SVD · analyze · classification · cone · conic · conic_from_points · curve · degenerate · dropdown · ellipsoid · fitting · hyperboloid · intersection · join · lift · nullity · outer product · paraboloid · pencil · plane pair · point tuple · quadric · quadric3d · quadric_from_points · ray · refine · rotor · slider · tolerance · translator