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This paper introduces a new fundamental characteristic, \ie, the dynamic range, from real-world metric tools to deep visual recognition. In metrology, the dynamic range is a basic quality of a metric tool, indicating its flexibility to…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Yifan Sun , Yuke Zhu , Yuhan Zhang , Pengkun Zheng , Xi Qiu , Chi Zhang , Yichen Wei

Laser triangulation sensors are widely used in industry for surface inspection due to simple setup, micron precision and low cost. Conventional laser triangulation methods only enable axial distance measurement limiting further…

Instrumentation and Detectors · Physics 2024-12-02 Hao Zhang , Shiji Wang

The paper describes a method for measuring the thermal diffusivity of materials having a high thermal conductivity. The apparatus is rather simple and low-cost, being therefore suitable in a laboratory for undergraduate students of…

Physics Education · Physics 2014-01-15 Amelia Carolina Sparavigna

Teaching dimension is a learning theoretic quantity that specifies the minimum training set size to teach a target model to a learner. Previous studies on teaching dimension focused on version-space learners which maintain all hypotheses…

Machine Learning · Computer Science 2015-12-08 Ji Liu , Xiaojin Zhu

We introduce a system and methods for the three-dimensional measurement of extended specular surfaces with high surface normal variations. Our system consists only of a mobile hand held device and exploits screen and front camera for…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Florian Willomitzer , Chia-Kai Yeh , Vikas Gupta , William Spies , Florian Schiffers , Marc Walton , Oliver Cossairt

Multidimensional scaling (MDS) is a popular technique for mapping a finite metric space into a low-dimensional Euclidean space in a way that best preserves pairwise distances. We overview the theory of classical MDS, along with its…

Statistics Theory · Mathematics 2020-07-14 Henry Adams , Mark Blumstein , Lara Kassab

The measurement of distance between two objects is generalized to the case where the objects are no longer points but are one-dimensional. Additional concepts such as non-extensibility, curvature constraints, and non-crossing become central…

Soft Condensed Matter · Physics 2008-03-04 Steven S. Plotkin

Most commercially available Light Detection and Ranging (LiDAR)s measure the distances along a 2D section of the environment by sequentially sampling the free range along directions centered at the sensor's origin. When the sensor moves…

Robotics · Computer Science 2023-10-17 Omar Salem , Emanuele Giacomini , Leonardo Brizi , Luca Di Giammarino , Giorgio Grisetti

Distance measurement is crucial to astronomy. Here we suggest a new conceptual method to measure the distance by using a local instrument. By engaging the double-slit interference and by considering the phase information of the light, the…

Instrumentation and Methods for Astrophysics · Physics 2020-06-17 Yuan-Chuan Zou

The purpose of this paper is to give a survey on the notions of distance between subsets either of a metric space or of a measure space, including definitions, a classification, and a discussion of the best-known distance functions, which…

Functional Analysis · Mathematics 2018-08-09 A. Conci , C. S. Kubrusly

Distance measures have been recognized as one of the fundamental building blocks in time-series analysis tasks, e.g., querying, indexing, classification, clustering, anomaly detection, and similarity search. The vast proliferation of…

Databases · Computer Science 2024-12-31 John Paparrizos , Haojun Li , Fan Yang , Kaize Wu , Jens E. d'Hondt , Odysseas Papapetrou

Given a set of sequences, the distance between pairs of them helps us to find their similarity and derive structural relationship amongst them. For genomic sequences such measures make it possible to construct the evolution tree of…

Information Theory · Computer Science 2012-08-29 Sandeep Hosangadi

A metric measure space is a metric space with a Borel measure. In Gromov's theory of metric measure spaces, there are important invariants called the partial diameter and the observable diameter. We obtain the result that the partial…

Metric Geometry · Mathematics 2024-06-28 Shun Oshima

Measuring comodules are defined and shown to provide a useful generalization of the set of maps between modules with a broad range of applications. Three applications are described. Connections on bundles are described in terms of measuring…

Differential Geometry · Mathematics 2007-05-23 Marjorie Batchelor

Deterministic lateral displacement (DLD) devices separate micrometer-scale particles in solution based on their size using a laminar microfluidic flow in an array of obstacles. We investigate array geometries with rational row-shift…

Alternative novel measures of the distance between any two partitions of a n-set are proposed and compared, together with a main existing one, namely 'partition-distance' D(.,.). The comparison achieves by checking their restriction to…

Discrete Mathematics · Computer Science 2011-06-24 Giovanni Rossi

Radiometers are crucial instruments in radio astronomy, forming the primary component of nearly all radio telescopes. They measure the intensity of electromagnetic radiation, converting this radiation into electrical signals. A radiometer's…

Multidimensional scaling (MDS) is a dimensionality reduction tool used for information analysis, data visualization and manifold learning. Most MDS procedures embed data points in low-dimensional Euclidean (flat) domains, such that…

Computational Geometry · Computer Science 2018-10-23 Gil Shamai , Michael Zibulevsky , Ron Kimmel

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau

Software measurement programs have emerged as compounds of several measurement activities that are pursued as part of a combined effort of several parties within a software organization, based on interests that the organization has…

Software Engineering · Computer Science 2013-07-18 Alejandro Sanchez Guinea