This paper describes significant issues relating to the visual response modeling of on demand printed textiles. The visualization technique described comments on surface geometry, dye spread, substrate color, and color space conversion. The observations are based on experimental data and account for fiber properties, thread geometry, and weave geometry. This work is applicable to pre-press visualization of random access dot placement printed textiles. Software was developed to implement a model of printed textile visualization based on the issues presented here. The visualization process provides rapid evaluation of printing results to design parameter changes.