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This paper proposes a novel approach for designing functional observers for nonlinear systems, with linear error dynamics and assignable poles. Sufficient conditions for functional observability are first derived, leading to functional…

Systems and Control · Electrical Eng. & Systems 2025-01-03 Costas Kravaris

The performance of existing robust homography estimation algorithms is highly dependent on the inlier rate of feature point correspondences. In this paper, we present a novel procedure for homography estimation that is particularly well…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Antonio Gonzales , Cara Monical , Tony Perkins

This paper studies nonlinear observer design for rigid-body extended pose estimation using inertial measurements and generic exteroceptive sensing. The estimation problem is formulated as a cascade architecture that separates translational…

Systems and Control · Electrical Eng. & Systems 2026-02-10 Sifeddine Benahmed , Tarek Hamel , Soulaimane Berkane

The design of a globally convergent position observer for feature points from visual information is a challenging problem, especially for the case with only inertial measurements and without assumptions of uniform observability, which…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Bowen Yi , Chi Jin , Ian R. Manchester

In this work, the problem of designing observers for estimating a single nonlinear functional of the state is formulated for general nonlinear systems. Notions of functional observer linearization are also formulated, in terms achieving…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Costas Kravaris , Sunjeev Venkateswaran

This paper considers the problem of simultaneous estimation of the attitude, position and linear velocity for vehicles navigating in a three-dimensional space. We propose two types of hybrid nonlinear observers using continuous angular…

Optimization and Control · Mathematics 2020-07-22 Miaomiao Wang , Abdelhamid Tayebi

This paper derives a novel linear position constraint for cameras seeing a common scene point, which leads to a direct linear method for global camera translation estimation. Unlike previous solutions, this method deals with collinear…

Computer Vision and Pattern Recognition · Computer Science 2015-09-07 Zhaopeng Cui , Nianjuan Jiang , Chengzhou Tang , Ping Tan

Homography estimation is a basic image alignment method in many applications. It is usually conducted by extracting and matching sparse feature points, which are error-prone in low-light and low-texture images. On the other hand, previous…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Jirong Zhang , Chuan Wang , Shuaicheng Liu , Lanpeng Jia , Nianjin Ye , Jue Wang , Ji Zhou , Jian Sun

The problem of finite/fixed-time cooperative state estimation is considered for a class of quasilinear systems with nonlinearities satisfying a H\"older condition. A strongly connected nonlinear distributed observer is designed under the…

Optimization and Control · Mathematics 2024-07-09 Min Li , Andrey Polyakov , Siyuan Wang , Gang Zheng

In this paper, we propose a simple but effective method for fast image segmentation. We re-examine the locality-preserving character of spectral clustering by constructing a graph over image regions with both global and local connections.…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Zizhao Zhang , Fuyong Xing , Hanzi Wang , Yan Yan , Ying Huang , Xiaoshuang Shi , Lin Yang

This paper proposes a geometric interpretation of the angles and scales which the orientation- and scale-covariant feature detectors, e.g. SIFT, provide. Two new general constraints are derived on the scales and rotations which can be used…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Daniel Barath , Zuzana Kukelova

Navigation solutions suitable for cases when both autonomous robot's pose (\textit{i.e}., attitude and position) and its environment are unknown are in great demand. Simultaneous Localization and Mapping (SLAM) fulfills this need by…

Systems and Control · Electrical Eng. & Systems 2022-04-04 Hashim A. Hashim , Abdelrahman E. E. Eltoukhy

A symmetry-preserving, reduced-order state observer is presented for the unmeasured part of a system's state, where the nonlinear system dynamics exhibit symmetry under the action of a Lie group. Leveraging this symmetry with a moving…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jeremy W. Hopwood , Craig A. Woolsey

In this paper, we consider the problem of designing an asymptotic observer for a nonlin-ear dynamical system in discrete-time following Luenberger's original idea. This approach is a two-step design procedure. In a first step, the problem…

Optimization and Control · Mathematics 2020-02-10 Lucas Brivadis , Vincent Andrieu , Ulysse Serres

In this paper, we use known camera motion associated to a video sequence of a static scene in order to estimate and incrementally refine the surrounding depth field. We exploit the SO(3)-invariance of brightness and depth fields dynamics to…

Optimization and Control · Mathematics 2015-03-19 Nadege Zarrouati , Emanuel Aldea , Pierre Rouchon

Nonlinear friction has long been, and continues to be, one of the major challenges for precision motion control systems. A linear asymptotic observer of the motion state variables with nonlinear friction uses a dedicated state-space…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Michael Ruderman

The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the existence of such an observer is concluded. In a second step, a…

Dynamical Systems · Mathematics 2016-05-11 Chouaib Afri , Vincent Andrieu , Laurent Bako , Pascal Dufour

This paper proposes a design methodology for non-linear state observers for invariant kinematic systems posed on finite dimensional connected Lie groups, and studies the associated fundamental system structure. The concept of synchrony of…

Optimization and Control · Mathematics 2008-05-08 C. Lageman , J. Trumpf , R. Mahony

A new approach to design of nonlinear observers (state estimators) is proposed. The main idea is to (i) construct a convex set of dynamical systems which are contracting observers for a particular system, and (ii) optimize over this set for…

Systems and Control · Computer Science 2017-11-23 Ian R. Manchester

Straight lines are common features in human made environments, which makes them a frequently explored feature for control applications. Many control schemes, like Visual Servoing, require the 3D parameters of the features to be estimated.…

Robotics · Computer Science 2019-03-22 André Mateus , Omar Tahri , Pedro Miraldo