Algorithm $6$: $[4$ pts$]$ Create a function that deforms an input curve by point handles. Use the basic form of the distortion energy term without compensating for rotation or scaling $($Slide $14).$ The input$/$output are:

INPUT:

curve: a polyline to be deformed $($it could be either an open or closed curve$).$

vinds: indices of vertices that are "handles"

tgts: target locations of the handle vertices $($i$.$e$.,$ the vertex in curve with index vinds$[[$i$]]$ should move to location tgts$[[$i$]])$

w: the balancing weight for the distortion energy $($see Slide $51$ of the lecture$).$

OUTPUT: a polyline with the deformed vertex locations.

deformLaplace$[$curve$\_,$ vinds$\_,$ tgts$\_,$ w$\_]$ :$=$