Fast full search in motion estimation by hierarchical use of Minkowski’s inequality (HUMI)

Lu, Jingyi; Wu, Kuang‐Shyr; Lin, Ja‐Chen

doi:10.1016/s0031-3203(97)00077-0

Cited by 34 publications

(8 citation statements)

References 4 publications

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“…For example .. ozkan et al [22] applied Minkowski's inequality, H .. older's inequality and Jensen's inequality on time scales. Lu et al [15] used Minkowski's inequality for fast full search in motion estimation. The classical Minkowski's inequality [19] is as follows: …”

Section: Preliminariesmentioning

confidence: 99%

Minkowski type inequality for fuzzy and pseudo-integrals

Daraby¹,

Rostampour²,

Rahimi³

2017

Tbilisi Math. J.

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Section: Preliminariesmentioning

confidence: 99%

Minkowski type inequality for fuzzy and pseudo-integrals

Daraby¹,

Rostampour²,

Rahimi³

2017

Tbilisi Math. J.

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“…63 can be considered as the combination of PDE and SEA algorithms since the SEA criterion is evaluated not only once for the whole block, but also for its subsampled versions (1×1, 2×2, 4×4, and 8×8). Thus, the rejection at an earlier stage is possible.…”

Section: Fast Full-search Algorithmsmentioning

confidence: 99%

“…1, 2013 M. Jakubowski 97 ne", "Coastguard", "Flower garden", "Foreman", "Grand− mother", "Hall monitor", "Miss America", "Mother and daughter", "Stefan", "Suzie", and "Table tennis"). SEA [61], MSEA [63,64], and FGSE [67] algorithm performan− ces were compared. The block size and SR were set to 16×16 and ±16, respectively.…”

Section: Comparison Of Algorithmsmentioning

confidence: 99%

Block-based motion estimation algorithms — a survey

Jakubowski

Pastuszak

2013

Opto-Electronics Review

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In the multi-view video coding, both temporal and inter-view redundancies can be exploited by using standard block-based motion estimation (BBME) technique. In this paper, an extensive review of BBME algorithms proposed within the last three decades is presented. Algorithms are divided into five categories: 1) based on the search position number reduction; 2) multiresolution; 3) based on the simplification of matching criterion; 4) fast full search; 5) computation-aware. Algorithms are compared in terms of their efficiency and computational complexity.

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“…In particular, when we think of an integral operator as a predictive tool then an integral inequality can be very important in measuring and dimensioning such process. Applications of Minkowski's and Hölder's inequalities have been studied by many authors, for exampleÖzkan et al [22] applied Minkowski's and Hölder's inequalities on time scales and Lu et al [14] used Minkowski's inequality for fast full search in motion estimation.…”

Section: Introductionmentioning

confidence: 99%

On Non-additive Probabilistic Inequalities of Hölder-type

et al. 2011

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Non-additive measure is a generalization of additive probability measure. Integral inequalities play important roles in classical probability and measure theory. Some well-known inequalities such as the Minkowski inequality and the Hölder inequality play important roles not only in the theoretical area but also in application. Non-additive integrals are useful tools in several theoretical and applied statistics which have been built on non-additive measure. For instance, in decision theory and applied statistics, the use of the non-additive integrals can be envisaged from two points of view: decision under uncertainty and multi-criteria decision-making. In fact, the non-additive integrals provide useful tools in many problems in engineering and social choice where the aggregation of data is required. In this paper, Hölder and Minkowski type inequalities for semi(co)normed non-additive integrals are discussed. The main results of this paper generalize some previous results obtained by the authors. Mathematics Subject Classification (2000). Primary 99Z99; Secondary 00A00.

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Fast full search in motion estimation by hierarchical use of Minkowski’s inequality (HUMI)

Cited by 34 publications

References 4 publications

Minkowski type inequality for fuzzy and pseudo-integrals

Minkowski type inequality for fuzzy and pseudo-integrals

Block-based motion estimation algorithms — a survey

On Non-additive Probabilistic Inequalities of Hölder-type

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