Homography transformation, or planar projective transformation, between camera and projector images, which can be estimated by observing four or more pairs of corresponding points between two images, plays a crucial role in dynamic projection mapping with an uncalibrated projector-camera pair. This study discusses a case of dynamic projection mapping onto a moving textured surface where the point correspondence is provided through an actively controlled (not static) marker pattern projection by the projector along with the movement of the surface. Qualitative advantages are discussed in terms of system implementation, the image processing algorithm, and artifact perception by human observers. In addition, a quantitative analysis of alignment errors in the projection mapping is presented to show the effectiveness of the active control of marker patterns.