A method and a device perform selective laser sintering. In the method for laser sintering, energy is applied linearly to a cross-sectional surface of the component to be produced in order to compact the powdery material. In the case of components with cross-sectional surfaces that have a curved contour, the application of energy can be guided in a line-shaped manner following the curved contour so that the contour of the workpiece that develops is continuously replicated. Advantageously, irregularities in the contour, which are caused by the raster predetermined by the laser sintering method, can thus be largely avoided. The device for laser sintering includes a powder delivery unit which can rotate about a rotational axis located in the interior of an annularly closed cross-section of the workpiece to be produced.