Consider a $3$D model represented as a triangle mesh $($given as

$-0\mathrm{.}317609-0\mathrm{.}5471010\mathrm{.}0205811$

$0\mathrm{.}19074-0\mathrm{.}4647220\mathrm{.}181466$

$-0\mathrm{.}2226180\mathrm{.}1040310\mathrm{.}043432$

$0\mathrm{.}101446-0\mathrm{.}0008814510\mathrm{.}177918$

$-0\mathrm{.}01824280\mathrm{.}3755420\mathrm{.}0707357$

$-0\mathrm{.}231501-0\mathrm{.}1615260\mathrm{.}0426727$

$-0\mathrm{.}05805730\mathrm{.}3532570\mathrm{.}111633$

$0\mathrm{.}0366694-0\mathrm{.}1788010\mathrm{.}0446446$

$-0\mathrm{.}24943-0\mathrm{.}2026140\mathrm{.}0403512$

$-0\mathrm{.}0859947-0\mathrm{.}07447750\mathrm{.}168787).$

Fix at least a

point on the $3$D model $($which will remain static while deformation$)$ and set target location for another

point on the surface which you want to move at the desired location. Now to deform the $3$D model,

implement the Laplacian deformation and the ARAP $($as$-$rigid$-$as$-$possible$)$ algorithms. Key functions

are given below.

import igl # install libigl python : github $.$ com $/$ libigl $/$ libigl $-$ python $-$ bindings

import numpy as np

from gpytoolbox import cotangent$\_$laplacian

V $,$ F $=$ igl $.$ read$\_$triangle$\_$mesh $("$ dino $.$ off $")$# Mesh in V $,$F

L $=$ cotangent$\_$laplacian $($V $,$F$)$

U $,$ D $,$ V $=$ np $.$ linalg $.$ svd $($S$)$ # Use this find SVD of S $($S$=$ UDV $^$T$)$