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We consider model selection and estimation for partial spline models and propose a new regularization method in the context of smoothing splines. The regularization method has a simple yet elegant form, consisting of roughness penalty on…

Methodology · Statistics 2013-11-25 Guang Cheng , Hao Helen Zhang , Zuofeng Shang

In this work, we propose a new method to track extended targets of different shapes such as ellipses, rectangles and rhombi. We provide an analytical framework to express these shapes as superelliptical contours and propose a Bayesian…

Signal Processing · Electrical Eng. & Systems 2025-02-04 Oğul Can Yurdakul , Mehmet Çetinkaya , Enescan Çelebi , Emre Özkan

This paper focused on the design of an optimized object tracking technique which would minimize the processing time required in the object detection process while maintaining accuracy in detecting the desired moving object in a cluttered…

Computer Vision and Pattern Recognition · Computer Science 2021-03-10 Liana Ellen Taylor , Midriem Mirdanies , Roni Permana Saputra

The random matrix model is popular in extended object tracking, due to its relative simplicity and versatility. In this model, the extended object state consists of a kinematic vector for the position and motion parameters (velocity, etc),…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Karl Granström , Jakob Bramstång

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

A first-principle single-object model is proposed for pedestrian tracking. It is assumed that the extent of the moving object can be described via known statistics in 3D, such as pedestrian height. The proposed model thus need not constrain…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Jan Krejčí , Oliver Kost , Ondřej Straka , Jindřich Duník

Exponentially stable extended adaptive observer is proposed for a class of linear time-invariant systems with unknown parameters and overparameterization. It allows one to reconstruct unmeasured states and bounded external disturbance…

Systems and Control · Electrical Eng. & Systems 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

This paper addresses the problem of tracking moving objects of variable appearance in challenging scenes rich with features and texture. Reliable tracking is of pivotal importance in surveillance applications. It is made particularly…

Computer Vision and Pattern Recognition · Computer Science 2013-09-26 Rhys Martin , Ognjen Arandjelović

In areas such as kernel smoothing and non-parametric regression there is emphasis on smooth interpolation and smooth statistical models. Splines are known to have optimal smoothness properties in one and higher dimensions. It is shown, with…

Computation · Statistics 2008-09-29 Ron A. Bates , Hugo Maruri-Aguilar , Henry P. Wynn

Most tracking-by-detection methods employ a local search window around the predicted object location in the current frame assuming the previous location is accurate, the trajectory is smooth, and the computational capacity permits a search…

Computer Vision and Pattern Recognition · Computer Science 2015-12-01 Gao Zhu , Fatih Porikli , Hongdong Li

Simultaneous state estimation and mapping is an essential capability for mobile robots working in dynamic urban environment. The majority of existing SLAM solutions heavily rely on a primarily static assumption. However, due to the presence…

Robotics · Computer Science 2024-10-18 Yanpeng Jia , Ting Wang , Xieyuanli Chen , Shiliang Shao

This work highlights the duality between state estimation methods and model predictive control. A predictive controller, observed control, is presented that uses this duality to efficiently compute control actions with linear time-horizon…

Optimization and Control · Mathematics 2025-08-20 Eugene T. Hamzezadeh , Andrew J. Petruska

Recognition of occluded objects in unseen indoor environments is a challenging problem for mobile robots. This work proposes a new slicing-based topological descriptor that captures the 3D shape of object point clouds to address this…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Ekta U. Samani , Ashis G. Banerjee

Glass-like objects such as windows, bottles, and mirrors exist widely in the real world. Sensing these objects has many applications, including robot navigation and grasping. However, this task is very challenging due to the arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Hao He , Xiangtai Li , Guangliang Cheng , Jianping Shi , Yunhai Tong , Gaofeng Meng , Véronique Prinet , Lubin Weng

This paper presents a lidar-only state estimation and tracking framework, along with a roadside sensing unit for integration with existing urban infrastructure. Urban deployments demand scalable, real-time tracking solutions, yet…

Robotics · Computer Science 2025-09-25 Simon Schäfer , Bassam Alrifaee , Ehsan Hashemi

To determine the 3D orientation and 3D location of objects in the surroundings of a camera mounted on a robot or mobile device, we developed two powerful algorithms in object detection and temporal tracking that are combined seamlessly for…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 David Joseph Tan , Nassir Navab , Federico Tombari

Specular reflections pose a significant challenge for object segmentation, as their sharp intensity transitions often mislead both conventional algorithms and deep learning based methods. However, as the specular reflection must lie on the…

Image and Video Processing · Electrical Eng. & Systems 2026-02-26 Katja Kossira , Yunxuan Zhu , Jürgen Seiler , André Kaup

This paper analyzes directional tracking in 2D with the extended Kalman filter on Lie groups (LG-EKF). The study stems from the problem of tracking objects moving in 2D Euclidean space, with the observer measuring direction only, thus…

Robotics · Computer Science 2017-08-21 Ivan Markovic , Josip Cesic , Ivan Petrovic

We present a new paradigm for real-time object-oriented SLAM with a monocular camera. Contrary to previous approaches, that rely on object-level models, we construct category-level models from CAD collections which are now widely available.…

Robotics · Computer Science 2018-02-27 Parv Parkhiya , Rishabh Khawad , J. Krishna Murthy , Brojeshwar Bhowmick , K. Madhava Krishna

In this paper, we introduce a new method for classifying 3D objects. Our main idea is to project a 3D object onto a spherical domain centered around its barycenter and develop neural network to classify the spherical projection. We…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Zhangjie Cao , Qixing Huang , Karthik Ramani
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