We study a divisorial contraction such that contracts an irreducible divisor to a point and that the discrepancy of is when is a -dimensional terminal singularity of type (cD/2) and (cE/2).
Takayuki HAYAKAWA. "Divisorial contractions to 3-dimensional terminal singularities with discrepancy one." J. Math. Soc. Japan 57 (3) 651 - 668, July, 2005. https://doi.org/10.2969/jmsj/1158241927