A mathematician who finds poetry in math and math in poetry(quantamagazine.org)

  There once was a man from Verdun

  "...and so  the line  connecting the points  Ga and  Gb in gradient space,
  which correspond  to the planes A and B  in image space, is the
  set of points representing  positions of a plane see-sawing around the
  line of intersection between A and B..."

  Now I see; then I saw;
  The planes of a cube have a linear law.
  The endpoints of lines in the gradient space
  Show where the see-sawing planes fall into place.

  Macrakis, sitting beside me, half-asleep: "COFFEE!"

  Caffeine doesn't help me composing this verse.
  It only awakes me; my thoughts all disperse.
  One thinks better dozing, collapsed in a heap;
  Why else are most students in classes asleep?

  "...the lines in gradient  space are perpendicular to  the lines in
  image  space.   This  doesn't  provide  enough  constraints,  however.
  Additional  equations may  be derived from  the intensity information.
  One  can get  one or  more solutions for  a trihedral  vertex.  If the
  vertex  has more  than three planes,  then there  are more constraints
  than necessary, and one may have to resort to least squares..."

  Alone, the geometry isn't enough:
  You also require intensity stuff.
  We get enough data if points are tri-planed,
  While four leave the gradients over-constrained.

  I often have wondered in
  What kind of orbit a
  Planet proceeds in a
  Tesseract space?
  Multidimensional,
  Hyperelliptical,
  Dizzying spacemen in
  Trans-solar chase.