Image recovery from rotational and translational invariants
We introduce a framework for recovering an image from its rotationally and translationally invariant features based on autocorrelation analysis. This work is an instance of the multi-target detection statistical model, which is mainly used to study the mathematical and computational properties of single-particle reconstruction using cryo-electron microscopy (cryo-EM) at low signal-to-noise ratios. We demonstrate with synthetic numerical experiments that an image can be reconstructed from rotationally and translationally invariant features and show that the reconstruction is robust to noise. These results constitute an important step towards the goal of structure determination of small biomolecules using cryo-EM.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Image Moment Invariants to Rotational Motion Blur
Rotational motion blur caused by the circular motion of the camera or/and object is common in life. Identifying objects from images affected by rotational motion blur is challenging because this image degradation severel…
Handwritten Digit Recognitionimage-classificationImage ClassificationTemplate MatchingMap-Free Visual Relocalization Enhanced by Instance Knowledge and Depth Knowledge
Map-free relocalization technology is crucial for applications in autonomous navigation and augmented reality, but relying on pre-built maps is often impractical. It faces significant challenges due to limitations in mat…
Autonomous NavigationA Polarization-Aided Transformer for Image Deblurring via Motion Vector Decomposition
Effectively leveraging motion information is crucial for the image deblurring task. Existing methods typically build deep-learning models to restore a clean image by estimating blur patterns over the entire movement.…
DeblurringImage DeblurringImage ReconstructionLong-Range Rendezvous and Docking Maneuver Control of Satellite using Cross-Feedback Sliding Mode Controller
Satellite rendezvous and docking (RvD) maneuvers are essential for satellite servicing and in-orbit assembly. Traditional approaches often treat translational and rotational motions independently, simplifying control des…
Estimating Velocity and Spin of Spherical Objects from Rolling-Shutter Image(s)
Rolling-shutter cameras introduce characteristic distortions when imaging fast moving objects, and these effects are typically treated as artifacts to be corrected. In this work, we instead leverage rolling-shutter disto…