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Displacement (vector)

About: Displacement (vector) is a research topic. Over the lifetime, 24669 publications have been published within this topic receiving 264944 citations.


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Journal ArticleDOI
TL;DR: The model predicts the mass specific energy fluctuations of the center of mass per distance to be similar for runners and hoppers and similar to empirical data obtained for animals of various size.

1,582 citations

Journal ArticleDOI
TL;DR: A way to approach the problem of dense optical flow estimation by integrating rich descriptors into the variational optical flow setting, while reaching out to new domains of motion analysis where the requirement of dense sampling in time is no longer satisfied is presented.
Abstract: Optical flow estimation is classically marked by the requirement of dense sampling in time. While coarse-to-fine warping schemes have somehow relaxed this constraint, there is an inherent dependency between the scale of structures and the velocity that can be estimated. This particularly renders the estimation of detailed human motion problematic, as small body parts can move very fast. In this paper, we present a way to approach this problem by integrating rich descriptors into the variational optical flow setting. This way we can estimate a dense optical flow field with almost the same high accuracy as known from variational optical flow, while reaching out to new domains of motion analysis where the requirement of dense sampling in time is no longer satisfied.

1,429 citations

Journal ArticleDOI
TL;DR: This paper describes a hierarchical computational framework for the determination of dense displacement fields from a pair of images, and an algorithm consistent with that framework, based on a scale-based separation of the image intensity information and the process of measuring motion.
Abstract: THE ROBUST MEASUREMENT OF VISUAL MOTION FROM DIGITIZED IMAGE SEQUENCES HAS BEEN AN IMPORTANT BUT DIFFICULT PROBLEM IN COMPUTER VISION. THIS PAPER DESCRIBES A HIERARCHICAL COMPUTATIONAL FRAMEWORK FOR THE DETERMINATION OF DENSE DISPLACEMENT FIELDS FROM A PAIR OF IMAGES, AND AN ALGORITHM CONSIST- ENT WITH THAT FRAMEWORK. OUR FRAMEWORK IS BASED ON THE SEPARATION OF THE IMAGE INTENSITY INFORMATION AS WELL AS THE PROCESS OF MEASURING MOTION ACCORDING TO SCALE. THE LARGE SCALE INTENSITY INFORMATION IS FIRST USED TO OBTAIN ROUGH ESTIMATES OF IMAGE MOTION, WHICH ARE THEN REFINED BY USING INTENSITY INFORMATION AT SMALLER SCALES. THE ESTIMATES ARE IN THE FORM OF DISPLACEMENT (OR VELOCITY) VECTORS FOR PIXELS AND ARE ACCOMPANIED BY A DIRECTION-DEPENDENT CONFIDENCE MEASURE. A SMOOTHNESS CONSTRAINT IS EMPLOYED TO PROPAGATE THE MEASUREMENTS WITH HIGH CONFIDENCE TO THEIR NEIGBORING AREAS WHERE THE CONFIDENCES ARE LOW. AT ALL LEVELS, THE COMPUTATIONS ARE PIXEL-PARALLEL, UNIFORM ACROSS THE IMAGE, AND BASED ON INFORMATION FROM A SMALL NEIGHBORHOOD OF A PIXEL. FOR OUR ALGORITHM, THE LOCAL DISPLACEMENT VECTORS ARE DETERMIND BY MINI- MIZING THE SUM-OF-SQUARED DIFFERENCES (SSD) OF INTENSITIES, THE CONFIDENCE MEASURES ARE DERIVED FROM THE SHAPE OF THE SSD SURFACE, AND THE SMOOTHNESS CONSTRAINT IS CAST IN THE FORM OF ENERGY MINIMIZATION. RESULTS OF APPLYING OUR ALGORITHM TO PAIRS OF REAL IMAGES ARE INCLUDED. IN ADDITION TO OUR OWN

1,175 citations

Journal ArticleDOI
TL;DR: In this article, a technique for modeling arbitrary discontinuities in finite elements is presented, in which both the signed distance function and its derivatives are considered, and a standard displacement Galerkin method is used for developing the discrete equations.
Abstract: A technique for modelling arbitrary discontinuities in finite elements is presented. Both discontinuities in the function and its derivatives are considered. Methods for intersecting and branching discontinuities are given. In all cases, the discontinuous approximation is constructed in terms of a signed distance functions, so level sets can be used to update the position of the discontinuities. A standard displacement Galerkin method is used for developing the discrete equations. Examples of the following applications are given: crack growth, a journal bearing, a non-bonded circular inclusion and a jointed rock mass. Copyright © 2001 John Wiley & Sons, Ltd.

1,091 citations

Journal ArticleDOI
TL;DR: In this article, a small well-exposed normal fault zone at Kilve, Somerset, U.K., is described, which consists of 34 individual offset and linked fault segments, and a simple model is presented which assumes different displacement gradients inside and outside the influence of relay structures.

802 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202240
2021725
2020932
20191,201
20181,027
20171,114