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A framework for online robust adaptive radiation therapy (ART) is presented. This framework is designed to (i) handle interfractional geometric variations following a probability distribution different from the a priori hypothesis, (ii)…

Medical Physics · Physics 2020-09-09 Michelle Böck

Nonconvex optimization problems with an L1-constraint are ubiquitous, and are found in many application domains including: optimal control of hybrid systems, machine learning and statistics, and operations research. This paper shows that…

Optimization and Control · Mathematics 2017-09-27 Yonatan Mintz , Anil Aswani

This work concerns the minimization of the pseudospectral abscissa of a matrix-valued function dependent on parameters analytically. The problem is motivated by robust stability and transient behavior considerations for a linear control…

Numerical Analysis · Mathematics 2024-06-21 Nicat Aliyev , Emre Mengi

Most commercially available treatment planning systems for brachytherapy operate based on physical dose and do not incorporate fractionation or tissue-specific response. The purpose of this study is to investigate the potential for…

Medical Physics · Physics 2017-12-04 Kaelyn Seeley , I-Chow J. Hsu , Tae Min Hong , J. Adam Cunha

UAV trajectory planning is often done in a two-step approach, where a low-dimensional path is refined to a dynamic trajectory. The resulting trajectories are only locally optimal, however. On the other hand, direct planning in…

Robotics · Computer Science 2022-05-05 Sebastian Schräder , Daniel Schleich , Sven Behnke

The widespread adoption of on-board volumetric imaging in cancer radiotherapy has stimulated research efforts to develop online adaptive radiotherapy techniques to handle the inter-fraction variation of the patient's geometry. Such efforts…

Medical Physics · Physics 2015-05-14 Chunhua Men , Xuejun Gu , Dongju Choi , Amitava Majumdar , Ziyi Zheng , Klaus Mueller , Steve B. Jiang

When preoperative planning for surgeries is conducted on the basis of medical images, artificial intelligence methods can support medical doctors during assessment. In this work, we consider medical guidelines for preoperative planning of…

Image and Video Processing · Electrical Eng. & Systems 2025-07-23 Cedric Zöllner , Simon Reiß , Alexander Jaus , Amroalalaa Sholi , Ralf Sodian , Rainer Stiefelhagen

Most of the optimal guidance problems can be formulated as nonconvex optimization problems, which can be solved indirectly by relaxation, convexification, or linearization. Although these methods are guaranteed to converge to the global…

Optimization and Control · Mathematics 2024-03-19 Gyubin Park , Jiwoo Choi , Da Hoon Jeong , Jong-Han Kim

In this paper we propose a new family of RRT based algorithms, named RRT+ , that are able to find faster solutions in high-dimensional configuration spaces compared to other existing RRT variants by finding paths in lower dimensional…

Robotics · Computer Science 2016-12-28 Marios Xanthidis , Ioannis Rekleitis , Jason M. O'Kane

Stereotactic body radiotherapy (SBRT) is characterized by delivering a high amount of dose in a short period of time. In SBRT the dose is delivered using open fields (e.g., beam's-eye-view) known as "apertures". Mathematical methods can be…

Medical Physics · Physics 2015-06-15 Hamed Yarmand , David Craft

In this paper, we propose a framework for fast trajectory planning for unmanned aerial vehicles (UAVs). Our framework is reformulated from an existing bilevel optimization, in which the lower-level problem solves for the optimal trajectory…

Robotics · Computer Science 2023-04-14 Qianzhong Chen , Sheng Cheng , Naira Hovakimyan

In this work, we consider the problem of planning for temporal logic tasks in large robot environments. When full task compliance is unattainable, we aim to achieve the best possible task satisfaction by integrating user preferences for…

Robotics · Computer Science 2025-11-24 Disha Kamale , Xi Yu , Cristian-Ioan Vasile

High dose-rate brachytherapy (HDRBT) is widely used for gynecological cancer treatment. Although commercial treatment planning systems (TPSs) have inverse optimization modules, it takes several iterations to adjust planning objectives to…

Medical Physics · Physics 2021-09-14 Huan Liu , Chang M Ma , Xun Jia , Chenyang Shen , Peter Klages , Kevin Albuquerque

Applying intelligent robot arms in dynamic uncertain environments (i.e., flexible production lines) remains challenging, which requires efficient algorithms for real time trajectory generation. The motion planning problem for robot…

Robotics · Computer Science 2020-08-11 Weiye Zhao , Suqin He , Chengtao Wen , Changliu Liu

Design optimisation offers the potential to develop lightweight aircraft structures with reduced environmental impact. Due to the high number of design variables and constraints, these challenges are typically addressed using gradient-based…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Hauke F. Maathuis , Roeland De Breuker , Saullo G. P. Castro

This paper presents a spatial-based trajectory planning method for automated vehicles under actuator, obstacle avoidance, and vehicle dimension constraints. Starting from a nonlinear kinematic bicycle model, vehicle dynamics are transformed…

Systems and Control · Computer Science 2017-07-24 Mogens Graf Plessen , Pedro F. Lima , Jonas Martensson , Alberto Bemporad , Bo Wahlberg

The main approach to smooth Pareto surface navigation for radiation therapy multi-criteria treatment planning involves taking real-time averages of pre-computed treatment plans. In fluence-based treatment planning, fluence maps themselves…

Medical Physics · Physics 2014-02-03 David Craft , David Papp , Jan Unkelbach

Despite the performance advantages of modern sampling-based motion planners, solving high dimensional planning problems in near real-time remains a challenge. Applications include hyper-redundant manipulators, snake-like and humanoid…

Robotics · Computer Science 2018-02-02 Marios P. Xanthidis , Joel M. Esposito , Ioannis Rekleitis , Jason M. O'Kane

We propose randomized subspace gradient methods for high-dimensional constrained optimization. While there have been similarly purposed studies on unconstrained optimization problems, there have been few on constrained optimization problems…

Optimization and Control · Mathematics 2023-07-10 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

Recently, diagnosis, therapy and monitoring of human diseases involve a variety of imaging modalities, such as magnetic resonance imaging(MRI), computed tomography(CT), Ultrasound(US) and Positron-emission tomography(PET) as well as a…

Computer Vision and Pattern Recognition · Computer Science 2018-09-25 Jing Yuan , Aaron Fenster
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