Reasoning with uncertain points,straight lines,and straight line segments in 2D

Decisions based on basic geometric entities can only be optimal, if their uncertainty is propagated through the entire reasoning chain. This concerns the construction of new entities from given ones, the testing of geometric relations between geometric entities, and the parameter estimation of geometric entities based on spatial relations which have been found to hold.Basic feature extraction procedures often provide measures of uncertainty. These uncertainties should be incorporated into the representation of geometric entities permitting statistical testing, eliminates the necessity of specifying non-interpretable thresholds and enables statistically optimal parameter estimation. Using the calculus of homogeneous coordinates the power of algebraic projective geometry can be exploited in these steps of image analysis.This review collects, discusses and evaluates the various representations of uncertain geometric entities in 2D together with their conversions. The representations are extended to achieve a consistent set of representations allowing geometric reasoning. The statistical testing of geometric relations is presented. Furthermore, a generic estimation procedure is provided for multiple uncertain geometric entities based on possibly correlated observed geometric entities and geometric constraints.     

Biogene,klastische und evaporitische Sedimentation in einem mesothermen monomiktischen ufernahen See (Golf von Aqaba)

The genesis and development of a monomictic, mesothermal lake and its sediments is demonstrated by the analysis of sediment cores from different parts of the lake and from different stages of development. The compounds which build up the sediments, consist of irregular large particles from the surrounding crystalline rocks, of fine grained silt sediments from catastrophic flud deposits, of evaporitic series, and algae mats. The thickness of the different layers and their distribution in various parts of the lake; the different compounds, absolute age determinations, the carbonate layers and algae mats allow the definition of different stages of development of the lake. Causes and influences of an unusual type of monomixis with summer turnover are discussed and related to the sedimentary environment. Annual fluctuations in physical and biological limnology lead to the development of annual cycles in mat development and evaporites, which are reflected in the varved sediments. Inorganic sedimentation of terrestrial sediments, evaporites and organic matter accumulation are in shifting equilibrium which can be analysed by changes in the sediment types. Within the zone of biologic decay of algae via photosynthetic and other sulfur bacteria and heterotrophic bacteria, biogenic aragonite, Mg-Calcite and sulfides are precipitated. The autigenic dolomite occuring within the algae mats could not be attributed to biological precipitation so far. The lake started out as a lagoon approximately 4500 years B.P. Algae mat development was initiated after the lagoon was separated from the open sea (2400 B.P.). The central parts of the lake subsided at a time between 1900 and 1600 B.P. At this time the algae mat deposition, which until then took place in the whole lake, was restricted to the remaining shallow parts. Years of extremely high precipitation and catastrophic floods are represented by silt layers in the western parts of the lake, while coarser terrestrial sediments are intercalated in the algae mats of the eastern parts. Oöids, carbonate laminae, oncoliths and other types of carbonate particles within the algae mats are defined as biogenic by SEM analyses and laboratory experiments.     

Late Mesozoic to Paleogene stratigraphy of the Salar de Atacama Basin, Antofagasta, Northern Chile: Implications for the tectonic evolution of the Central Andes

The Salar de Atacama basin, the largest “pre-Andean” basin in Northern Chile, was formed in the early Late Cretaceous as a consequence of the tectonic closure and inversion of the Jurassic–Early Cretaceous Tarapacá back arc basin. Inversion led to uplift of the Cordillera de Domeyko (CD), a thick-skinned basement range bounded by a system of reverse faults and blind thrusts with alternating vergence along strike. The almost 6000-m-thick, upper Cretaceous to lower Paleocene sequences (Purilactis Group) infilling the Salar de Atacama basin reflects rapid local subsidence to the east of the CD. Its oldest outcropping unit (Tonel Formation) comprises more than 1000 m of continental red sandstones and evaporites, which began to accumulate as syntectonic growth strata during the initial stages of CD uplift. Tonel strata are capped by almost 3000 m of sandstones and conglomerates of western provenance, representing the sedimentary response to renewed pulses of tectonic shortening, which were deposited in alluvial fan, fluvial and eolian settings together with minor lacustrine mudstone (Purilactis Formation). These are covered by 500 m of coarse, proximal alluvial fan conglomerates (Barros Arana Formation). The top of the Purilactis Group consists of Maastrichtian-Danian alkaline lava and minor welded tuffs and red beds (Cerro Totola Formation: 70–64 Ma K/Ar) deposited during an interval of tectonic quiescence when the El Molino–Yacoraite Late Cretaceous sea covered large tracts of the nearby Altiplano-Puna domain. Limestones interbedded with the Totola volcanics indicate that this marine incursion advanced westwards to reach the eastern CD slope. CD shortening in the Late Cretaceous was accompanied by volcanism and continental sedimentation in fault bounded basins associated to strike slip along the north Chilean magmatic arc to the west of the CD domain, indicating that oblique plate convergence prevailed during the Late Cretaceous. Oblique convergence seems to have been resolved into a highly partitioned strain system where margin-parallel displacements along the thermally weakened arc coexisted with margin-orthogonal shortening associated with syntectonic sedimentation in the Salar de Atacama basin. A regionally important Early Paleocene compressional event is echoed, in the Salar de Atacama basin by a, distinctive, angular unconformity which separates Paleocene continental sediments from Purilactis Group strata. The basin also records the Eocene–Early Oligocene Incaic transpressional episode, which produced, renewed uplift in the Cordillera de Domeyko and triggered the accumulation of a thick blanket of syntectonic gravels (Loma Amarilla Formation).     

Fluoride hazard and assessment of groundwater quality in the semi-arid Upper Panda River basin,Sonbhadra district,Uttar Pradesh,India

Abstract

Around 9000 inhabitants in the Panda River basin, Sonbhadhra District, Uttar Pradesh, India, are vulnerable to a “silent” dental and skeletal fluorosis from groundwater consumption. The fluoride source and seasonal groundwater quality variation were studied by collecting 65 groundwater samples in the Upper Panda River basin. Major rock types are phyllites and granite gneissic rocks. Fluoride concentrations are in the range 0.4–5.6 mg/L in the pre-monsoon season and 0.1–6.7 mg/L in the post-monsoon season. Fluor-apatite and biotite mica in the granite gneissic rock were identified as the main provenance of fluoride in the groundwater through water–rock interactions. Due to precipitation of calcium, soils become alkaline with high contents of sodium; these conditions allow fluoride to accumulate in water. According to risk index calculations, the fluoride-affected villages were shown to fall in the fluoride risk zone (with a risk index of around 1.7). On the basis of mineral stability diagrams, groundwater from the weathered and fractured aquifers appears to be stable within the kaolinite field, suggesting weathering of silicate minerals. The groundwater is chemically potable and suitable for domestic and agricultural purposes, except for a few wells in the southern region that are contaminated with high amounts of fluoride.

Editor D. Koutsoyiannis

Citation Raju, N.J., Dey, S., Gossel, W., and Wycisk, P., 2012. Fluoride hazard and assessment of groundwater quality in the semi-arid Upper Panda River basin, Sonbhadra District, Uttar Pradesh, India. Hydrological Sciences Journal, 57 (7), 1433–1452.     

Interne Wellen großer Amplitude

Zusammenfassung Es werden die wesentlichsten Beobachtungsergebnisse über das Auftreten interner Wellen im Ozean angeführt. Sämtliche Messungen erfassen entweder nur die Periode oder nur die Wellenlänge. Der Charakter der gefundenen Wellen ist daher nicht immer eindeutig festzustellen. Auch läßt sich nicht in jedem Fall entscheiden, ob die beobachteten Schwankungen durch Wellen, Wirbel oder turbulente Vorgänge erzeugt worden sind. Am Kontinentalabhang scheinen stehende Wellen aufzutreten.Periodenanalysen haben insbesondere auf interne Gezeiten und Trägheitsschwingungen geführt; Messungen der Wellenlänge ergeben im nördlichen Nordatlantischen Ozean Werte von 25–50 km. Die maximale Amplitude, welche registriert wurde, beträgt 300 m. Schwankungen von mehreren hundert Metern im Gezeitenrhythmus und eventuell mit größeren (bisher unbekannten) Perioden, welche durch meteorologische Vorgänge erzwungen Werden könnten, scheinen im nördlichen Nordatlantischen Ozean sehr häufig zu sein. In den niederen Breiten, in denen allein längere Ankerstationen durchgeführt worden sind, hat man demgegenüber meist nur geringe Amplituden beobachtet.

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Internal waves of great amplitudePart 2: Observations

Summary The principal results deduced from observations of internal waves within the ocean are presented. Each of the measurements in question describes either the period or the wave length; hence, it follows that the nature of the detected waves cannot, in every case, be determined without ambiguity. Besides, it is not always possible to ascertain whether the observed variations are due to waves, vorticity or turbulence. Standing waves seem to occur at the continental slope.The analysis of periods, in particular, led to the suggestion that internal tides and inertia oscillations may predominate; according to measurements carried out in the northern North Atlantic Ocean, the wave lengths vary from 25 to 50 km. The maximal amplitude recorded is 300 metres. Variations of several hundred metres in accordance with the tidal rhythm and, possibly, with (still unknown) periods of some importance which may be conditioned by meteorological processes, seem to be of frequent occurrence in the northern North Atlantic Ocean. To the contrary, small amplitudes were observed in the low latitudes — the sole regions where long-time observations from anchor stations were carried out.

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Vagues internes de grande amplitude2^e Partie: Observations

Résumé Le travail suivant présente des résultats dérivés des observations de vagues internes rencontrées à l'intérieur des océans. Chacune des mesures en question décrit soit la période, soit la longueur d'onde, d'où vient que la nature des vagues rencontrées ne peut pas, toujours, être décrite sans ambiguïté. En outre, il est souvent difficile de décider si les variations observées sont dues à des vagues, à des tourbillons ou à des processus turbulents. Des ondes stationnaires semblent être présentes sur le talus continental.Desanalyses des périodes, en particulier, nous ont conduit à supposer que prédominent des marées internes et des oscillations d'inertie; selon des mesures entreprises dans la partie septentrionale de l'Atlantique Nord on y a rencontré des ondes entre 25 et 50 km de longueur. L'amplitude maximale y enregistrée est de 300 mètres. Des ondes variant de plusieurs cent mètres en longueur suivant le rythme des marées et, peut-être, selon des périodes importantes (encore inconnues), qui pourraient être causées par des procès météorologiques semblent se présenter très souvent dans la partie nord de l'Océan Atlantique Nord. Au contraire, des amplitudes insignifiantes se trouvent souvent dans les basses latitudes — les seules régions où on a fait jusqu'ici des observations à longue durée à bord des bâtiments mouillés.

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Die Untersuchungen auf Anton Dohrn wurden gemeinsam mit Dr. H. Griesseier und Dr. O. Czepa, Institut für Physikalische Hydrographie der Deutschen Akademie der Wissenschaften zu Berlin, durchgeführt. Für die aufschlußreiche Diskussion über die Deutung der Beobachtungsresultate sei auch an dieser Stelle beiden Herren gedankt.     

藏南定日地区主中央冲断层与藏南拆离系的特征及其活动时代

低喜马拉雅结晶杂岩构成了北北东向阿伦背斜的核部,该背斜东、西两翼由高喜马拉雅结晶杂岩组成,这两者之间的界线为主中央冲断层(MCT1)。MCT1原为向南逆冲的韧性断层,后遭受北北东向褶皱作用而转变为正断层。高喜马拉雅结晶杂岩顶部被藏南拆离系下部的韧性正断层所截,与其上覆的北坳组分开,北坳组顶部又被一脆性正断层将其与上覆的藏南特提斯沉积岩分开。这条韧性正断层称为STD1,其上部的脆性正断层称为STD2。独居石U-Th-Pb测年结果和构造分析表明,藏南定日地区的高喜马拉雅结晶杂岩就是借助这2条韧性断层MCT1与STD1在大约13Ma时从藏南中下地壳折返至地壳浅部的,然后再遭受近南北向的褶皱作用。     

21 ka以来帝汶海区钻孔堆叠记录的古海洋学意义

印尼穿越流是连接西太平洋和印度洋的唯一载体,与东亚季风和ENSO活动密切相关。帝汶海区是印尼穿越流的主要出口之一,该区不同钻孔末次冰期以来的古海洋学记录显示在长时间尺度上变化存在着很高的相似性。为了捕捉出口处印尼穿越流的平均信号,本研究将这些记录进行堆叠,并与其他海区的钻孔记录进行对比,探讨印尼穿越流对东亚季风和ENSO活动的响应。总体上,堆叠记录较为精准地复制了各个钻孔记录的信息。帝汶海区表层海水温度堆叠记录与其他海区钻孔记录对比显示末次冰期至12~6 ka期间帝汶海可能位于暖池范围内,而晚全新世时位于暖池的边缘;温跃层深度、海水温度和盐度堆叠记录揭示自末次冰期以来印尼穿越流温跃层流呈现逐渐强化的趋势。结合现代水文资料和堆叠记录与其他古海洋古气候记录的对比等,本文推测了不同时期ENSO的冷暖期状态以及东亚季风对印尼穿越流的影响方式和过程。