
GloballyOptimal Inlier Set Maximisation for Simultaneous Camera Pose and Feature Correspondence
Estimating the 6DoF pose of a camera from a single image relative to a ...
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GOGMA: GloballyOptimal Gaussian Mixture Alignment
Gaussian mixture alignment is a family of approaches that are frequently...
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Solving the Blind PerspectivenPoint Problem EndToEnd With Robust Differentiable Geometric Optimization
Blind PerspectivenPoint (PnP) is the problem of estimating the positio...
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Learning 2D3D Correspondences To Solve The Blind PerspectivenPoint Problem
Conventional absolute camera pose via a PerspectivenPoint (PnP) solver...
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Do not Omit Local Minimizer: a Complete Solution for Pose Estimation from 3D Correspondences
Estimating pose from given 3D correspondences, including pointtopoint,...
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Robust 3608PA: Redesigning The Normalized 8point Algorithm for 360FoV Images
This paper presents a novel preconditioning strategy for the classic 8p...
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Fast and Robust Certifiable Estimation of the Relative Pose Between Two Calibrated Cameras
The Relative Pose problem (RPp) for cameras aims to estimate the relativ...
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The Alignment of the Spheres: GloballyOptimal Spherical Mixture Alignment for Camera Pose Estimation
Determining the position and orientation of a calibrated camera from a single image with respect to a 3D model is an essential task for many applications. When 2D3D correspondences can be obtained reliably, perspectivenpoint solvers can be used to recover the camera pose. However, without the pose it is nontrivial to find crossmodality correspondences between 2D images and 3D models, particularly when the latter only contains geometric information. Consequently, the problem becomes one of estimating pose and correspondences jointly. Since outliers and local optima are so prevalent, robust objective functions and global search strategies are desirable. Hence, we cast the problem as a 2D3D mixture model alignment task and propose the first globallyoptimal solution to this formulation under the robust L_2 distance between mixture distributions. We derive novel bounds on this objective function and employ branchandbound to search the 6D space of camera poses, guaranteeing global optimality without requiring a pose estimate. To accelerate convergence, we integrate local optimization, implement GPU bound computations, and provide an intuitive way to incorporate side information such as semantic labels. The algorithm is evaluated on challenging synthetic and real datasets, outperforming existing approaches and reliably converging to the global optimum.
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