Shortest Walk
Shortest Walk calculates the shortest route using a factor chosen by the user, starting from a list of curves (network) and a list of lines (desired paths).
generative modeling for Rhino
giancarlo tonoli's Discussions
geodesic! I have a doubt...
10 Replies
Hi,If the mathematical definition of a geodesic curve is: the shortest path between two points on a surface, why the geodesic component returns a curve like this? that's a longer curve compared with…Continue
Started this discussion. Last reply by giancarlo tonoli Oct 20, 2011.
giancarlo tonoli's Page
Latest Activity
giancarlo tonoli replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
Thank you very much! this is just what I was searching for! wonderful! Now I'm studying that component beacuse I'd like to add another condition: I'd like to calculate the shortest path on a surface (a slope) but this path have not to…
paco g replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
the image is confused,
the geodesic is obtained by grasshopper componet,
I attached the definition.
thanks for the link,
Chris Tietjen replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
Here's a link that might help.
http://www.rdrop.com/~half/Creations/Puzzles/cone.geodesics/index.html
The circle on the cone in your definition is not a geodesic as a circle will not unroll into a straight line but rather an arc or on a cone of…
paco g replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
how is approximate geodesic component in grasshopper? Theoretically, the surface normal and curve(geodesic) main normal must match, isn´t it?
i´m trying to probate this as the result is in the image,
thanks
Danny Boyes replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
Create a mesh for your surface and try Giulio's Shortest Walk routine.
giancarlo tonoli replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
Thanks a lot!
Your explainations were very usefull. Now I understand that I can't use the concept of Geodesic to calculate what I'm trying to do. I'll search another possible solutions..
Thanks
Giancarlo
Chris Tietjen replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
"Although defining a geodesic as the shortest arc between two points on a surface gives the main idea of a geodesic, there is a problem with it as a definition. Not every geodesic is a shortest path in the large, as can be seen by noting that…
Daniel Piker replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
Hi Chris,
The distinction between locally shortest and globally shortest paths is not limited to closed surfaces.
As an example :
Here the red path is clearly shorter, but the blue path is the geodesic - because if you unrolled the surface it would…
Chris Tietjen replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
Hi Daniel,
I think that your response is addressing the issue of a geodesic on a closed surface. Giancarlo's example is an open surface so it won't have a closed curve for a geodesic at any time. I wonder if his surface has…
Daniel Piker replied to giancarlo tonoli's discussion 'geodesic! I have a doubt...'
A geodesic is not actually defined as the shortest path between two points on a surface - it is only locally the shortest. So for any 2 points close together on the path it is the shortest route between them, but the whole path may not be the…
geodesic! I have a doubt...
Hi,If the mathematical definition of a geodesic curve is: the shortest path between two points on a surface, why the geodesic component returns a curve like this? that's a longer curve compared with others possible paths...Thank's!See More
Discussion posted by giancarlo tonoli
Profile Information
Comment Wall
- No comments yet!
Translate
Search Grasshopper
© 2012 Created by Scott Davidson.
Powered by 
.
