Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

我的台灣, 看見心靈的故鄉 =2009林磐聳藝術與設計展

The inverse stable subordinator provides a probability model for time-fractional differential equations, and leads to explicit solution formulae. This paper reviews properties of the inverse stable subordinator, and applications to a variety of problems in mathematics and physics. Several different governing equations for the inverse stable subordinator have been proposed in the literature. This paper also shows how these equations can be reconciled.

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Inverse Stable Subordinators

Rip current types, circulation and hazard

This paper aims to provide a comprehensive review of research on robotics in travel, tourism and hospitality, and to identify research gaps and directions for future research.,This paper analyzes 131 publications published during 1993-2019, identified via Scopus, Web of Science, ResearchGate, Academia.edu and Google Scholar. It offers quantitative analysis of frequencies and cross-tables and qualitative thematic analysis of the publications within each of seven identified domains.,The paper identifies “Robot,” “Human,” “Robot manufacturer,” “Travel/tourism/hospitality company,” “Servicescape,” “External environment” and “Education, training and research” as the research domains. Most research studies are dedicated to robots in restaurants, airports, hotels and bars. Papers tend to apply engineering methods, but experiments and surveys grow in popularity. Asia-Pacific countries account for much of the empirical research.,The analysis was limited to publications indexed in four databases and one search engine. Only publications in English were considered. Growing opportunities for those who are anxious to publish in the field are identified. Importantly, emerging research is branching out from the engineering of robots to the possibilities for human/robot interactions and their use for service providers, opening up new avenues of research for tourism and hospitality scholars.,The paper identified a myriad of application areas for robots across various tourism and hospitality sectors. Service providers must critically think about how robots affect the servicescape and how it needs to be adjusted or re-imagined to ensure that robots and employees can augment the service experiences (co-)created within it.,This is the first study to systematically analyze research publications on robotics in travel, tourism and hospitality.,本论文全面评论了在旅游酒店业中的机器人技术的研究, 并指出文献缺口和未来研究方向。,本论文分析了在1993年至2019年发布在Scopus、Web of Science、ResearchGate、Academia.edu、和Google Scholar的131篇文献。本论文对文献做了一系列定量分析, 包括频率分析、交叉表、定性文本分析、在七大确立的领域中对每个领域的文献进行分析。,本论文确立了七个研究领域：机器人、人类、机器生产者、旅游酒店企业、Servicescape、外部环境、和教育培训和研究。大多数文献集中在对饭店、机场、酒店、和酒吧的机器人研究。文献往往采用工程手段进行研究, 但是实验和问卷方式正在呈增长趋势。亚太国家占据大多数实证研究作品。,本论文样本库局限于四个数据库和一个搜索引擎。只有英文文献被采样。本论文为对相关领域感兴趣的学者指出研究方向。重要的是, 本论文发现用工程角度研究机器人的文献有了分支, 有一小部分文献开始着手研究人/机器人交互和其在服务过程中的使用的研究, 这对旅游酒店学者提供新研究视角。,本论文指出了一系列有关旅游酒店领域中机器人的应用。服务商必须重视机器人如何影响Servicescape以及如何审视机器人与人的交互, 确保其与员工加强消费者的服务体验（价值共创）。,本论文是首篇系统评论旅游酒店领域中机器人研究文献的文章。,关键词：机器人、机器人经济、机器人设计、机器人使用、Servicescape、rService、人-机器人交互、研究议程

Progress on robotics in hospitality and tourism: a review of the literature

This paper deals with an automated preflight aircraft inspection using a pan-tilt-zoom camera mounted on a mobile robot moving autonomously around the aircraft. The general topic is image processing framework for detection and exterior inspection of different types of items, such as closed or unlatched door, mechanical defect on the engine, the integrity of the empennage, or damage caused by impacts or cracks. The detection step allows to focus on the regions of interest and point the camera toward the item to be checked. It is based on the detection of regular shapes, such as rounded corner rectangles, circles, and ellipses. The inspection task relies on clues, such as uniformity of isolated image regions, convexity of segmented shapes, and periodicity of the image intensity signal. The approach is applied to the inspection of four items of Airbus A320: oxygen bay handle, air-inlet vent, static ports, and fan blades. The results are promising and demonstrate the feasibility of an automated exterior inspection.

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Automated exterior inspection of an aircraft with a pan-tilt-zoom camera mounted on a mobile robot

In this paper, a general framework based on fractional-order partial differential equations allows to solve image reconstruction problems. The algorithm presented in this work combines two previous notions: a fractional derivative implementation by Discrete Fourier Transform and the edge detection by topological gradient. The purpose of the paper is to extend some existing results in image denoising problem with fractional-order diffusion equations and presents new results in image inpainting. The results emphasize the importance of particular fractional-orders.

/pdf/fractional-order-diffusion-for-image-reconstruction-36mr6btmaa.pdf

Fractional-order diffusion for image reconstruction

The aim of this article is to review and extend the applications of the topological gradient to major image processing problems. We briefly review the topological gradient, and then present its application to the crack localization problem, which can be solved using the Dirichlet to Neumann approach. A very natural application of this technique in image processing is the inpainting problem, which can be solved by identifying the optimal location of the missing edges. Edge detection is of extreme importance, as edges convey essential information in a picture. A second natural application is then the image reconstruction. A class of image reconstruction problems is considered that includes restoration, demosaicing, segmentation and super-resolution. These problems are studied using a unified theoretical framework which is based on the topological gradient method. This tool is able to find the localization and orientation of the edges for blurred, low sampled, partially masked, noisy images. We review existing algorithms and propose new ones. The performance of our approach is compared with conventional image reconstruction processes.

/pdf/the-topological-gradient-method-from-optimal-design-to-image-3stakai9g1.pdf

The Topological Gradient Method: From Optimal Design to Image Processing

On the use of the Radon transform to estimate longshore currents from video imagery

The French Air-Cobot project aims to improve preflight maintenance and provide a traceability of the performed checks. To do so, a collaborative mobile robot has been built. One of its non-destructive sensors is a pan-tilt-zoom camera. Visual inspection needs to be easy to apply and quickly carried due to time constraints on the airport. The robot is able to navigate autonomously around the aircraft, stop at checking positions and point the camera towards the region of interest. Items to inspect can be detected in the image acquisition thanks to some knowledge on those items. This knowledge has various forms: picture database, three dimensional models, aircraft markings, item configurations and marking dispositions. During its inspection tasks, the robot can warn its human operator that something is wrong and if possible ask for a fast human intervention for examples if there is still the chock in front of the landing gear or the protection on a pitot probe. At the end, it provides all its diagnoses and asks the human operator to validate or refute each of them. The article proposes fast visual detections and verifications of exterior aircraft elements. Previous researches focus more on static inspection, results in dynamic cases are also provided.

Stanislas Larnier

Papers

Automated exterior inspection of an aircraft with a pan-tilt-zoom camera mounted on a mobile robot

Fractional-order diffusion for image reconstruction

The Topological Gradient Method: From Optimal Design to Image Processing

On the use of the Radon transform to estimate longshore currents from video imagery

Automatic visual detection and verification of exterior aircraft elements