Find the shortest curve between two points on a circle:

Find the shortest path between two points on a mesh region:

Compute the length of the shortest path:

Find the shortest curve between two points on a mesh:

Highlight the curve on the mesh:

The shortest curve between two points of a sphere:

The path is on a great circle:

Find a shortest tour of Austria from Innsbruck to Vienna:

GeoGridPosition of cities:

Show the path:

Compare to GeoPath:

Find the shortest distance between two cities for an airplane's flight path on the Earth:

Represent the positions of Seattle and Paris in a Cartesian geocentric coordinate system:

Map the positions of Seattle and Paris to the ellipsoid:

Show the path:

Find a path between two points on a rubber band:

Show the path:

Find a path between two points on the human body:

Show the path:

Determine efficient paths for mobile robots to move from one point to another while avoiding obstacles:

In this scenario, the robot's workspace includes obstacles, specifically, furniture:

Simplify the workspace as a 2D environment:

Show the path:

ShortestCurveDistance is the arc length of FindShortestCurve:

Approximate methods may have visible numerical errors at small scale:

Show the curve on the region: