The present invention relates to the use of a powder which comprises specific polyesters for shaping processes, and to moldings produced powder. The shaping processes are layer-by-layer processes which use powder, which comprises selectively melting regions of a powder layer by applying electromagnetic energy. Selectivity can although there is no intention to restrict the invention thereto be achieved via a mask, or application of an inhibitor, of an absorber or of a susceptor, or via focusing of the energy input. After cooling, the regions then solidified can be removed as moldings from the powder bed. The process occurs by using a polyester powder obtained from an alcohol and from a diacid with no use of any aromatic monomer unit. These polyester powders combine high crystallinity and low melting point, and makes the construction process more reliable while good component quality, mechanical properties, density, dimensional accuracy, and low shrinkage are realized.