Existing deblurring-based NVS methods attempt to predict hidden sharp light rays in blurry images, called latent sharp rays, by transforming a ray called the base ray. However, directly using input rays in blurry images as base rays can lead to inaccurate prediction. BRI addresses this issue by roughly reconstructing dynamic 3D scenes from blurry videos and refining the initialization of "base rays" from imprecise camera rays. Next, these base rays are used in the MDD stage to accurately predict latent sharp rays through an Incremental Latent Sharp-rays Prediction (ILSP) method. MoBluRF marks a new direction for NeRFs, enabling high-quality 3D reconstructions from ordinary blurry videos recorded with everyday devices.