We interpret noncrossing partitions of type B and type D in terms of
noncrossing partitions of type A. As an application, we get type-preserving
bijections between noncrossing and nonnesting partitions of type B, type C
and type D which are different from those in the recent work of Fink and
Giraldo. We also define Catalan tableaux of type B and type D, and find
bijections between them and noncrossing partitions of type B and type D
respectively.Comment: 21 pages, 15 figures, final versio