A Closed-Form, Consistent and Robust Solution to Uncalibrated Photometric Stereo Via Local Diffuse Reflectance Maxima

Images of an object under different illumination are known to provide strong cues about the object surface. A mathematical formalization of how to recover the normal map of such a surface leads to the so-called uncalibrated photometric stereo problem. In the simplest instance, this problem can be reduced to the task of identifying only three parameters: the so-called generalized bas-relief (GBR) ambiguity. The challenge is to find additional general assumptions about the object, that identify these parameters uniquely. Current approaches are not consistent, i.e., they provide different solutions when run multiple times on the same data. To address this limitation, we propose exploiting local diffuse reflectance (LDR) maxima, i.e., points in the scene where the normal vector is parallel to the illumination direction (see Fig. 1). We demonstrate several noteworthy properties of these maxima: a closed-form solution, computational efficiency and GBR consistency. An LDR maximum yields a simple closed-form solution corresponding to a semi-circle in the GBR parameters space (see Fig. 2); because as few as two diffuse maxima in different images identify a unique solution, the identification of the GBR parameters can be achieved very efficiently; finally, the algorithm is consistent as it always returns the same solution given the same data. Our algorithm is also remarkably robust: It can obtain an accurate estimate of the GBR parameters even with extremely high levels of outliers in the detected maxima (up to 80 % of the observations). The method is validated on real data and achieves state-of-the-art results.

Ueber Tuberculina maxima, einen Parasiten des Weymouthskiefern-Blasenrostes

Von Dr. C. Freiherr von Tubeuf

Global pulses of organic carbon burial in deep-sea sediments during glacial maxima

The burial of organic carbon in marine sediments removes carbon dioxide from the ocean–atmosphere pool, provides energy to the deep biosphere, and on geological timescales drives the oxygenation of the atmosphere. Here we quantify natural variations in the burial of organic carbon in deep-sea sediments over the last glacial cycle. Using a new data compilation of hundreds of sediment cores, we show that the accumulation rate of organic carbon in the deep sea was consistently higher (50%) during glacial maxima than during interglacials. The spatial pattern and temporal progression of the changes suggest that enhanced nutrient supply to parts of the surface ocean contributed to the glacial burial pulses, with likely additional contributions from more efficient transfer of organic matter to the deep sea and better preservation of organic matter due to reduced oxygen exposure. These results demonstrate a pronounced climate sensitivity for this global carbon cycle sink.

Conservación de zapallos (Cucurbita pepo L.) var. Frontera : cultivo orgánico y tradicional

Objetivos: Determinar el período de conservación de zapallo orgánico respecto del tradicional, en dos condiciones de almacenamiento. Materiales y métodos: Zapallos variedad Frontera se limpiaron en seco y se pesaron individualmente para controlar pérdida de peso; se consignaron características externas. Para determinar deshidratación se midió humedad en la pulpa (estufa 105 °C). Para conservación, acondicionamiento en cajones de madera con viruta, en galpón (temperatura y humedad ambiente) y antecámara (15- 20 °C y 70-85 % HR). Duración 187 días. Comparación sensorial, al inicio y al final de la conservación, considerando: color, olor, sabor, retrogusto, jugosidad, textura y calidad general. Se utilizó planilla con escala mixta estructurada de 9 puntos y participaron jueces semientrenados (n = 10). Evaluación de datos por análisis de varianza = 0.05. Conclusiones: En las condiciones del ensayo, el período de conservación no debe ser superior a los 105 días por aparición de podredumbre. Por deshidratación superior al 60 %, debe ser inferior a 68 días para antecámara, 105 días para orgánicos de galpón y 105-126 días para tradicionales de galpón. Las características sensoriales iniciales de los zapallos orgánicos fueron mejores; al final se destacaron los tradicionales en galpón, luego los orgánicos en galpón y los conservados en antecámara presentaron características inferiores.

Maxima of interstitial water and gas parameters in ODP Leg 182 sediments

During the drilling of the southern Australian continental margin (Leg 182 of the Ocean Drilling Program), fluids with unusually high salinities (to 106?) were encountered in Miocene to Pleistocene sediments. At three sites (1127, 1129, and 1131), high contents of H2S (to 15%), CH4 (50%), and CO2 (70%) were also encountered. These levels of H2S are the highest yet reported during the history of either the Deep Sea Drilling Project or the Ocean Drilling Program. The high concentrations of H2S and CH4 are associated with anomalous Na+/Cl- ratios in the pore waters. Although hydrates were not recovered, and despite the shallow water depth of these sites (200-400 m) and relative warm bottom water temperatures (11-14°C), we believe that these sites possess disseminated H2S-dominated hydrates. This contention is supported by calculations using the measured gas concentrations and temperatures of the cores, and depths of recovery. High concentrations of H2S necessary for the formation of hydrates under these conditions were provided by the abundant (SO4)2- caused by the high salinities of the pore fluids, and the high concentrations of organic material. One hypothesis for the origin of these fluids is that they were formed on the adjacent continental shelf during previous lowstands of sea level and were forced into the sediments under the influence of hydrostatic head.

Could it be possible to replace DERIVE with MAXIMA?

In recent years, a considerable number of teachers in Spain have been using DERIVE to teach math subjects in High Schools and Universities. This software has been used by the authors of this work as a support tool in Mathematics courses for Engineering. Since Texas Instruments does not support DERIVE, we were faced with finding an alternative software product, and considering the possibility of using a public-domain software such as MAXIMA. Here we make a comparative study of DERIVE and MAXIMA as support tools for a Calculus course for first year Engineering students.

An example of Learning based on competences: Use of Maxima in Linear Algebra for Engineers

This paper analyzes the role of Computer Algebra Systems (CAS) in a model of learning based on competences. The proposal is an e-learning model Linear Algebra course for Engineering, which includes the use of a CAS (Maxima) and focuses on problem solving. A reference model has been taken from the Spanish Open University. The proper use of CAS is defined as an indicator of the generic ompetence: Use of Technology. Additionally, we show that using CAS could help to enhance the following generic competences: Self Learning, Planning and Organization, Communication and Writing, Mathematical and Technical Writing, Information Management and Critical Thinking.

Quartus scripti Oxoniensis super sententias / [editum a fratre Joa[n]ne Duns ordinis fratrum minorum ... per ... Mauritium de Portu hiberni cum eiusdem ordinis fratrum minorum ... maxima xum diligentia emendatum].

Marca tip. xil. en colofón en 4E6r

Quartus scripti Oxoniensis super sententias / [editum a fratre Joa[n]ne Duns ordinis fratrum minorum ... per ... Mauritium de Portu hiberni cum eiusdem ordinis fratrum minorum ... maxima xum diligentia emendatum].

Marca tip. xil. en colofón en 4E6r