A scaled multigrid optical flow algorithm based on the least RMS error between real and estimated second images

Mahzoun, M. Reza; Kim, Jin-Woo; Sawazaki, Satoru; Okazaki, Kozo; Tamura, Shinichi

doi:10.1016/s0031-3203(98)00105-8

Cited by 13 publications

(3 citation statements)

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“…where u(xi, tj) and uN (xi, tj) are the exact and approximate solutions of the problem, respectively [12], [26], [8], [9].…”

Section: Error Analysismentioning

confidence: 99%

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A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Gürbüz

2021

Foundations of Computing and Decision Sciences

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In this work, a matrix method based on Laguerre series to solve singularly perturbed second order delay parabolic convection-diffusion and reaction-diffusion type problems involving boundary and initial conditions is introduced. The approximate solution of the problem is obtained by truncated Laguerre series. Moreover convergence analysis is introduced and stability is explained. Besides, a test case is given and the error analysis is considered by the different norms in order to show the applicability of the method.

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“…where u(xi, tj) and uN (xi, tj) are the exact and approximate solutions of the problem, respectively [12], [26], [8], [9].…”

Section: Error Analysismentioning

confidence: 99%

“…where ei = u(xi, tj) − uN (xi, tj) also u(xi, tj) and uN (xi, tj) are the exact and approximate solutions of the problem, respectively [12], [26], [8], [9]. Besides, n is the truncation number for the error series with the relation n ≥ N .…”

Section: B Gürbüzmentioning

confidence: 99%

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Gürbüz

2021

Foundations of Computing and Decision Sciences

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“…Structure Generation. Pyramids are being used currently as a tool for motion estimation and spatiotemporal segmentation, because of their multiresolution nature (Luthon et al, 1999;Mahzoun et al, 1999). To track a moving region through a sequence of images, a pyramid must be built onto each of them.…”

Section: Target Detectionmentioning

confidence: 99%

Nonuniform video coding by means of multifoveal geometries

Rodríguez

García

Bandera

et al. 2002

Int J Imaging Syst Tech

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This paper presents a control mechanism for video transmission that relies on transmitting nonuniform resolution images depending on the delay of the communication channel. These images are built in an active way to keep the areas of interest of the image at the highest resolution available. In order to shift the areas of high resolution over the image and to achieve a data structure that is easy to process by using conventional algorithms, a shifted foveal multiresolution geometry of adaptive size is used. If delays are too high, the resolution areas of the image can be transmitted at different rates. A functional system has been developed for corridor surveillance with static cameras. Tests with real video images have proven that the method allows an almost constant rate of images per second as long as the channel is not collapsed. A new method for determining the areas of interest is also proposed, based on hierarchical object tracking by means of adaptive stabilization of pyramidal structures.

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ICA-Based Image Analysis for Robot Vision

Ohnishi

Imiya

Independent Component Analysis and Signal Separation

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A scaled multigrid optical flow algorithm based on the least RMS error between real and estimated second images

Cited by 13 publications

References 0 publications

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

A Computational Technique for Solving Singularly Perturbed Delay Partial Differential Equations

Nonuniform video coding by means of multifoveal geometries

ICA-Based Image Analysis for Robot Vision

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