With the development of heterogeneous networks and video coding standards, multiresolution video applications over networks become important. It is critical to ensure the service quality of the network for time-sensitive video services. Asynchronous transfer mode (ATM) is a good candidate for delivering video signals because through ATM the delivery quality based on the quality-of-service (QoS) setting can be guaranteed. The selection of suitable QoS parameters is, however, not trivial for service users. Instead, what a video service user really concern is the video quality of presentation (QoP) which includes the video resolution, the fidelity, and the frame rate. Because QoP directly defines the quality of the video user interface, it is much easier for users to set the QoP parameters than the QoS parameters. In this paper, we present a quality control mechanism in multiresolution video coding structures over ATM networks and also investigate the relationship between QoP and QoS in end-to-end connections. Consequently, the video presentation quality can be simply mapped to the network requirements by a mapping table, and then the end-to-end QoS is achieved. We performed experiments with multiresolution MPEG coding over ATM networks. In addition to the QoP parameters, the video characteristics, such as the picture activity and the video mobility, also affect the QoS significantly.