4 ms·
Also the mathematical basis of the Euler spiral, also known as Cornu spiral and clothoid, which is a beautiful curve and a very good basis for curvature-continu
by raphlinus 4y ago
Also the mathematical basis of the Euler spiral, also known as Cornu spiral and clothoid, which is a beautiful curve and a very good basis for curvature-continuous splines. I wrote about that extensively in my thesis.
- kragen 4y agoThat was the first thing I thought of when I visited the Wikipedia page and saw the link to [[Euler spiral]]!
- breakds 4y agoThe thesis is a master piece, highly recommended!
- eecc 4y agoLink?
- nyankosensei 4y agohttps://www.levien.com/phd/thesis.pdf https://www.levien.com/phd/thesis.pdf
- meltyness 4y agoJust as the radius of a circle determines the radial acceleration needed to maintain a circular path, in general, a given path's curvature may be related to this net force, a result from applying correct principles and an intuition regarding the Frenet-Serret formulas.
- drsopp 4y agoI made an introduction video in norwegian on these 8 years ago. https://m.youtube.com/watch?v=-WFVJh-dMgY https://m.youtube.com/watch?v=-WFVJh-dMgY