Purpose Most published methods directly achieve vessel membrane border detection on cross‐sectional intravascular ultrasound (IVUS) images. The vascular structural continuity that exists in entire IVUS image sequences has been overlooked. However, this continuity can have a helpful role in the delineation of vessel membrane contours. To achieve the vessel membrane segmentation more effectively through employing this continuity, a strategy, referred to as multiangle reconstruction, segmentation, and recovery (RSR), is proposed in this paper. Methods Four main steps are contained in the multiangle‐RSR: first, a combination of sampling and interpolation is employed to reconstruct long‐axis‐model IVUS frames, in which continuity information becomes available. Second, a clustering algorithm is conducted on long‐axis‐model IVUS frames to roughly extract the media‐adventitia (MA) and lumen‐intima (LI) boundaries. Third, the segmentation results of cross‐sectional IVUS frames are recovered based on the rough results of long‐axis‐model IVUS frames, and an optimization process that combines downsampling, fitting and smoothing is designed to reduce the interference of bifurcation and side vessels. Results Multiangle‐RSR is tested on a public dataset, and the Hausdorff distance (HD), Jaccard measure (JM), and percentage of area difference (PAD) are utilized as quantitative evaluation metrics. Mean HDs of 0.34 and 0.29 mm are obtained for MA border detection and LI border detection, respectively, which decrease by 43.3% and 9.4%, respectively, compared with their counterparts in previously published approaches. Furthermore, the mean JM is 0.87 for both MA border detection and LI border detection. The mean PADs of the MA contour extraction and the LI contour extraction are 0.10 and 0.11, respectively. Conclusion The results indicate that the proposed strategy effectively introduces vascular structural continuity by reconstructing long‐axis‐model IVUS frames and achieves more precise extraction of MA and LI borders.