Let \(A={\mathbb C}[x_1,x_2,x_3]\) be the polynomial \({\mathbb C}\)-algebra in 3 variables, \(t\) a non-zero complex number and choose a polynomial \(\Phi_k\in {\mathbb C}[x_k]\) for each \(1\leq k\leq 3\). Then the noncommutative \({\mathbb C}\)-algebras \({\mathcal U}^t(\Phi)\) generated by \(x_1,x_2,x_3\) with the relations: \(x_1x_2-tx_2x_1=\Phi_3(x_3)\), \(x_2x_3-tx_2x_1=\Phi_1(x_1)\), \(x_3x_1-tx_1x_3=\Phi_2(x_2)\) are noncommutative deformations of \(A\) and form a family of Calabi-Yau algebras. Here it constructs a deformation-quantization of the coordinate ring of a del Pezzo surface of type \(E_r\), \(6\leq r\leq 8\) considering noncommutative algebras of the form \({\mathcal U}^t(\Phi)/\langle\langle\Psi\rangle\rangle\), where \(\langle\langle\Psi\rangle\rangle\) is the ideal generated by a central element \(\Psi\), which generates the center of \({\mathcal U}^t(\Phi)\) if \(\Phi\) is generic enough. Also it shows that the family of del Pezzo surfaces of type \(E_r\) provides a semiuniversal Poisson deformation of the Poisson structure inherited by hypersurfaces in \({\mathbb C}^3\) with an isolated quasi-homogeneous elliptic singularity of type \(E_r\).