  This paper gives a new way of constructing Landau-Ginzburg mirrors using
deformation theory of Lagrangian immersions motivated by the works of Seidel,
Strominger-Yau-Zaslow and Fukaya-Oh-Ohta-Ono. Moreover we construct a canonical
functor from the Fukaya category to the mirror category of matrix
factorizations. This functor derives homological mirror symmetry under some
explicit assumptions.
  As an application, the construction is applied to spheres with three orbifold
points to produce their quantum-corrected mirrors and derive homological mirror
symmetry. Furthermore we discover an enumerative meaning of the (inverse)
mirror map for elliptic curve quotients.
