November 22, 2006

Line representation

What is the most sensible representation of a line? There are a few possibilities including:
  • Gradient and intercept: (y=mx+c)
  • Two distinct points: (x1,y1) & (x2, y2)
  • r = x cos(a) + y sin(a) : r = the perpendicular distance to the line. a = the angle r makes with the x-axis.

I suppose the actual operations I need to perform on lines should dictate the best represention to ease calculations. Using gradients gets tricky when dealing with vertical lines. Angles are preferable since they range between -Pi/2 and Pi/2.

The line following algorithm relies on calculating the intersection of lines. It produces start and end points of line segments. Therefore representing lines as two distinct points may be the best approach. Calculating the intersection of two lines represented this way is described here


- No comments Not publicly viewable


Add a comment

You are not allowed to comment on this entry as it has restricted commenting permissions.

Trackbacks

Google Ads

Search this blog

Most recent comments

  • I scratched my eye while i was holding some kind of plastic packaging.. Anyways the corner of the pl… by Ercan on this entry
  • About a year ago my contacts that i was wearing, i guess were fautly, because shortly after they wer… by Jon on this entry
  • I got shower gel in my eye 4 and a half days ago, and becasue i rubbed my eyes a lot, i have scratch… by Chris on this entry
  • This website may help http://www.webmd.com/eye–health/tc/Eye–Injuries–Home–Treatment by S on this entry
  • I somehow got dirt, or debris in my eye. The terrible pain sent me in a tailspin. I was afraid of sa… by Bobbi on this entry

Tags

November 2006

Mo Tu We Th Fr Sa Su
Oct |  Today  | Dec
      1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30         

Galleries

Blog archive

Loading…
Not signed in
Sign in

Powered by BlogBuilder
© MMXIV