of the fabric produced according to the invention is considerably improved fluttering of the warp edges is rarely observed high density woven fabrics in the context of the present invention are those in which the thread density is especially high in both the warp and weft directions and approaches the thread density achievable with the respective loom for example the resulting high density woven fabrics have thread counts of 26 to 30 threads per cm when using threads with a yarn titer of 235 dtex 18 to 28 threads per cm with a yam titer of 350 dtex and 17 to 25 threads per cm with a yam titer of 470 dtex the thread counts cited here apply in particular to plain weaves and are adjusted accordingly for other weaves a common factor for these adjustments is the cover kappa factor the process of the invention succeeds particularly well if the distances between adjacent threads including the support and catch threads is the same over the entire width of the warp thus the distance between two different thread groups is also the same as the distance between adjacent threads in the same group in the process of the invention it is advantageous if the support threads are fed to the edges of the warp by separate sectional warp beams onto which the support threads have been wound as a yarn sheet in this manner the tension required for the support threads can be adjusted particularly advantageously by procedures that are known as a rule.