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  • 1
    ISSN: 0888-7543
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Medicine
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 0888-7543
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Medicine
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 0888-7543
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Medicine
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical imaging and vision 12 (2000), S. 137-154 
    ISSN: 1573-7683
    Keywords: mathematical morphology ; fast distance transform ; zero order complexity ; constant time algorithms ; metric spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Mathematical Morphology (MM) is a general method for image processing based on set theory. The two basic morphological operators are dilation and erosion. From these, several non linear filters have been developed usually with polynomial complexity, and this because the two basic operators depend strongly on the definition of the structural element. Most efforts to improve the algorithm's speed for each operator are based on structural element decomposition and/or efficient codification. A new framework and a theoretical basis toward the construction of fast morphological operators (of zero complexity) for an infinite (countable) family of regular metric spaces are presented in work. The framework is completely defined by the three axioms of metric. The theoretical basis here developed points out properties of some metric spaces and relationships between metric spaces in the same family, just in terms of the properties of the four basic metrics stated in this work. Concepts such as bounds, neighborhoods and contours are also related by the same framework. The presented results, are general in the sense that they cover the most commonly used metrics such as the chamfer, the city block and the chess board metrics. Generalizations and new results related with distances and distance transforms, which in turn are used to develop the morphologic operations in constant time, in contrast with the polynomial time algorithms are also given.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical imaging and vision 12 (2000), S. 155-168 
    ISSN: 1573-7683
    Keywords: mathematical morphology ; fast distance transform ; zero order complexity ; constant time algorithms ; metric spaces
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Mathematical Morphology (MM) is a general method for image processing based on set theory. The two basic morphological operators are dilation and erosion. From these, several non linear filters have been developed, usually with polynomial complexity and this because the two basic operators depend strongly on the definition of the structural element. Most efforts to improve the algorithm's speed for each operator are based on structural element decomposition and/or efficient codification. In this second part, the concepts developed in part I (see Díaz de León and Sossa Azuela, “Mathematical morphology based on linear combined metric spaces on Z1 (part I): Fast distance transforms,” Journal of Mathematical Imaging and Vision, Vol. 12, No. 2, pp. 137–154, 2000) are used to prove that it is possible to reduce the complexity of the morphological operators to zero complexity (constant time algorithms) for any regular discrete metric space and to eliminate the use of the structural element. In particular, this is done for an infinite family of metric spaces further defined. The use of the distance transformation is proposed for it comprises the information concerning all the discs included in a region to obtain fast morphological operators: erosions, dilations, openings and closings (of zero complexity) for an infinite (countable) family of regular metric spaces. New constant time, in contrast with the polynomial time algorithms, for the computation of these basics operators for any structural element are next derived by using this background. Practical examples showing the efficiency of the proposed algorithms, final comments and present research are also given here.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 23 (1986), S. 173-191 
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: Plates governed by Kirchhoff's equation have been analysed by the boundary integral equation method using the fundamental solution of the biharmonic equation. In the case of supported plates, the boundary conditions permit the uncoupling of the field equation into two harmonic equations that originate, due to the nature of the fundamental solution, easier integration kernels and a simpler system of equations. The calculation of bending and twisting moments and transverse shear force can be formed, combining derivatives of the integral equation which defines the expression of the deflection on any point of the plate. The uncoupling of the biharmonic equation into two Poisson's equations involves the discretization of the domain of the studied problems. Nevertheless, the unknown quantity of the problem does not appear in the domain integrations for which a refined discretization is unnecessary. In the paper, however, a numerical alternative is considered to express the domain integral by means of boundary integrals. In this way, we need only discretize the boundary of the plate, making it necessary to solve a supplementary system of equations in order to calculate the coefficients of the approximation carried out.
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 7
    Publication Date: 2021-06-14
    Description: In 2018 we celebrated 25 years of development of radar altimetry, and the progress achieved by this methodology in the fields of global and coastal oceanography, hydrology, geodesy and cryospheric sciences. Many symbolic major events have celebrated these developments, e.g., in Venice, Italy, the 15th (2006) and 20th (2012) years of progress and more recently, in 2018, in Ponta Delgada, Portugal, 25 Years of Progress in Radar Altimetry. On this latter occasion it was decided to collect contributions of scientists, engineers and managers involved in the worldwide altimetry community to depict the state of altimetry and propose recommendations for the altimetry of the future. This paper summarizes contributions and recommendations that were collected and provides guidance for future mission design, research activities, and sustainable operational radar altimetry data exploitation. Recommendations provided are fundamental for optimizing further scientific and operational advances of oceanographic observations by altimetry, including requirements for spatial and temporal resolution of altimetric measurements, their accuracy and continuity. There are also new challenges and new openings mentioned in the paper that are particularly crucial for observations at higher latitudes, for coastal oceanography, for cryospheric studies and for hydrology. The paper starts with a general introduction followed by a section on Earth System Science including Ocean Dynamics, Sea Level, the Coastal Ocean, Hydrology, the Cryosphere and Polar Oceans and the “Green” Ocean, extending the frontier from biogeochemistry to marine ecology. Applications are described in a subsequent section, which covers Operational Oceanography, Weather, Hurricane Wave and Wind Forecasting, Climate projection. Instruments’ development and satellite missions’ evolutions are described in a fourth section. A fifth section covers the key observations that altimeters provide and their potential complements, from other Earth observation measurements to in situ data. Section 6 identifies the data and methods and provides some accuracy and resolution requirements for the wet tropospheric correction, the orbit and other geodetic requirements, the Mean Sea Surface, Geoid and Mean Dynamic Topography, Calibration and Validation, data accuracy, data access and handling (including the DUACS system). Section 7 brings a transversal view on scales, integration, artificial intelligence, and capacity building (education and training). Section 8 reviews the programmatic issues followed by a conclusion.
    Language: English
    Type: info:eu-repo/semantics/article
    Format: application/pdf
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  • 8
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    In:  XXVIII General Assembly of the International Union of Geodesy and Geophysics (IUGG)
    Publication Date: 2023-06-20
    Description: The objective of this research is to apply spaceborne Earth observation to assess the energy that could be cropped from ocean waves in the coastal zone, in view of supporting the renewable energy industry to optimize their design of wave energy farming. An assessment of the wave energy potential is given for the French Atlantic façade and Portuguese coastal zone, which is characterized by high energy swell generated by remote westerly wind systems. The French Atlantic façade is characterized also by the strong wave-current interaction that modulates the spatial wave variability and determines the magnitude of the wave power.Our approach is based on the empirical method of Gommenginger et al. (2003) to estimate the energy period, required for the computation of the wave power density from radar altimeters’ significant wave height and radar backscatter coefficient.The feasibility of high-resolution satellite altimetry-based assessment of wave renewable energy potential in the coastal zone is examined, taking advantage of the increased spatial coverage of high-resolution satellite altimetry data from the CryoSat-2 data, which is specifically processed with the SAMOSA+ model retracker, which is available in the ESA Altimetry Virtual Laboratory (https://earthconsole.eu/altimetry-virtual-lab/). The study comprises an 11-year timespan from January 2011 to December 2022.
    Language: English
    Type: info:eu-repo/semantics/conferenceObject
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  • 9
    Publication Date: 2023-07-07
    Description: Extreme sea level (ESL) events are the phenomena that result in exceptional water level at the coast, which can cause flooding, inundation, and erosion. Recent global scale studies show that relative sea level rise will increase the recurrence of ESL events, by reducing their return period. Also, the compound nature of these events, including the contribution from pluvial, fluvial, and ocean processes, is now understood to affect key processes in estuarine and delta environments. The EOatSEE project (https://eoatsee.eu/), funded by ESA under the Earth Observation Science for Society programmatic line, aims to provide a data-driven description of ESL events as a mean to advance scientific knowledge on this subject matter. It shall foster a community effort, bringing together the EO data provider and the numerical modelling communities, to fully exploit the novel capabilities and synergies offered by the latest advances in EO technology. In this work, a literature review and a collection of needs from the scientific community enabled the identification of current scientific challenges and technical requirements associated with process understanding, predictability and vulnerability & risk assessment of ESL events. Increasing the understanding of the non-linear interactions between oceanic and fluvial processes, and considering coastal morphology response within long-term flooding risk assessments are some examples of the scientific challenges identified, which are to be studied within 9 scientific demonstrators over 6 different coastal regions. Within IUGG2023, a set of preliminary results shall also be presented, as innovative solutions are developed and produced along EOatSEE to address those challenges.
    Language: English
    Type: info:eu-repo/semantics/conferenceObject
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  • 10
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