  We present a three-dimensional (3-D) visualization of jet geometry using
numerical methods based on a Markov Chain Monte Carlo (MCMC) and limited memory
Broyden-Fletcher-Goldfarb-Shanno (BFGS) optimized algorithm. Our aim is to
visualize the 3-D geometry of an active galactic nucleus (AGN) jet using
observations, which are inherently two-dimensional (2-D) images. Many AGN jets
display complex structures that include hotspots and bends. The structure of
these bends in the jet's frame may appear quite different than what we see in
the sky frame, where it is transformed by our particular viewing geometry. The
knowledge of the intrinsic structure will be helpful in understanding the
appearance of the magnetic field and hence emission and particle acceleration
processes over the length of the jet. We present the $JetCurry$ algorithm to
visualize the jet's 3-D geometry from its 2-D image. We discuss the underlying
geometrical framework and outline the method used to decompose the 2-D image.
We report the results of our 3-D visualization of the jet of M87, using the
test case of the knot D region. Our 3-D visualization is broadly consistent
with the expected double helical magnetic field structure of the knot D region
of the jet. We also discuss the next steps in the development of the $JetCurry$
algorithm.
