Expmap {spherepc}

Exponential map

Description

This function performs the exponential map at (0, 0, 1) on the unit 2-sphere.

Usage

Expmap(vec)

Arguments

vec

element of two-dimensional Euclidean vector space.

Details

This function performs exponential map at (0, 0, 1) on the unit sphere. vec is an element of the tangent plane of the unit sphere at (0, 0, 1), and the result is an element of the unit sphere in three-dimensional Euclidean space.

Value

three-dimensional vector.

Author(s)

Jongmin Lee

References

Fletcher, P. T., Lu, C., Pizer, S. M. and Joshi, S. (2004). Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging, 23, 995-1005.

See Also

Logmap.

Examples

Expmap(c(1, 2))