Curve-shortening flow
In mathematics, the curve-shortening flow is a process that modifies a smooth curve in the Euclidean plane by moving its points perpendicularly to the curve at a speed proportional to the curvature. The curve-shortening flow is an example of a geometric flow, and is the one-dimensional case of the mean curvature flow. Other names for the same process include the Euclidean shortening flow, geometric heat flow, and arc length evolution.
known for
Active contour modelAngenent torusBrian White (mathematician)Carpenter's rule problemClosed geodesicCurve-shortening flowCurve shortening flowGage-Hamilton-Grayson theoremGage–Hamilton–Grayson theoremGauss curvature flowGeometric flowGrim reaper curveHeat equationIsoperimetric inequalityIsoperimetric ratioLife-like cellular automatonMean curvature flowMichael GagePoincaré conjectureRichard S. HamiltonSigurd AngenentStretch factorTennis ball theoremTheorem of the three geodesicsTotal absolute curvature
Link from a Wikipage to another Wikipage
known for
primaryTopic
Curve-shortening flow
In mathematics, the curve-shortening flow is a process that modifies a smooth curve in the Euclidean plane by moving its points perpendicularly to the curve at a speed proportional to the curvature. The curve-shortening flow is an example of a geometric flow, and is the one-dimensional case of the mean curvature flow. Other names for the same process include the Euclidean shortening flow, geometric heat flow, and arc length evolution.
has abstract
In mathematics, the curve-shor ...... r of higher-dimensional flows.
@en
Link from a Wikipage to an external page
Wikipage page ID
44,089,758
page length (characters) of wiki page
Wikipage revision ID
1,021,426,602
Link from a Wikipage to another Wikipage
authorlink
William W. Mullins
@en
first
William W.
@en
last
Mullins
@en
wikiPageUsesTemplate
subject
hypernym
type
comment
In mathematics, the curve-shor ...... low, and arc length evolution.
@en
label
Curve-shortening flow
@en