Hi Jeff,
Decrease the value of the clamping threshold parameter (available on the Interpolation section of StarAlignment's interface). The default value of 0.3 has been chosen because in our tests it has proven valid for the vast majority of images, but sometimes a lower value is required. Start with 0.1 and make a few tries. Decrease it until there is no dark artifact around your stars. If in doubt, prefer a low value to stay at the safe side.
The algorithm used by StarAlignment to generate registered pixels is bicubic spline interpolation. While bicubic interpolation has excellent detail preservation properties, a naive implementation —such as the ones available in most software packages— makes it mostly useless to interpolate linear raw images. The reason is that a cubic function tends to generate ripple artifacts, or strong oscillations, in presence of wild variations in the interpolated data.
These variations happen frequently in linear data, especially with relatively weak data (short exposures), and mainly around bright stars. For example, suppose that there are some contiguous pixels in your image with ADU values such as 1600, 4500, 20000, and 50000. A cubic interpolation function fitted to these values may generate a deep oscillation between the second and third values, due to the extremely strong slope. As a result, the interpolated image will show a dark artifact close to a bright feature in the image.
Our implementation includes a special clamping mechanism to prevent these problems. The clamping device basically switches between bicubic and bilinear interpolation adaptively, when it detects a too strong variation in the interpolated values. For example, in the sequence of pixel values above, the cubic function would be replaced by a straight line between the second and third pixels (the actual mechanism is more complex, but this is the basic concept). The clamping threshold defines when to start replacing bicubic interpolation with bilinear, so a lower value is always more conservative.
Let me know if this helps.