In　image　processing,　edge-preserving　image　smoothing　methods　that　maintain　weak　structure　while　smoothing　multiscale　textures　with　strong　gradients　remain　challenging.　In　this　paper,　a　new　global　optimization　method　named　Enhance　Relative　Total　Variation　Embedded　with　Bilateral　Filtering　is　proposed.　The　texture　and　structure　are　intuitively　considered　separately　from　the　model　generalization.　First,　the　weak　structures　are　separated　from　the　over-penalized　texture　and　structure　items　by　embedding　bilateral　filtering.　Then,　the　in-set　shrinking　edges/structures　are　gradually　recovered　by　constructing　a　contrast　stretching　function.　In　comparison　to　current　state-of-the-art　methods,　experimental　results　demonstrate　that　the　method　is　effective　in　maintaining　weak　structures　and　suppressing　multiscale　textures.　©　2023　IEEE.