Optimal Consensus Set for Digital Line Fitting

International audienceThis paper presents a new method for fitting a digital line to a given set of points in a 2D image in the presence of noise by maximizing the number of inliers, namely the consensus set. By using a digital line model instead of a continuous one, we show that we can generate all possible consensus sets for digital line fitting. We present a deterministic algorithm that efficiently searches the optimal solution with the time complexity O(N2 logN) and the space complexity O(N) where N is the number of points

Melt Production Beneath Mt. Shasta from Boron Data in Primitive Melt Inclusions

International audienceMost arc magmas are thought to be generated by partial melting of the mantlewedge induced by inÞltration of slab-derived ßuids. However, partial meltingof subducting oceanic crust has also been proposed to contribute to the meltgeneration process, especially when young and hot lithosphere is being subducted.The isotopic composition of boron measured in situ in olivine-hostedprimitive melt inclusions in a basaltic andesite from Mt. Shasta, California, ischaracterized by large negative values that are also highly variable (d11B 5Ð21.3 to Ð0.9 per mil). The boron concentrations, from 0.7 to 1.6 parts permillion, are lower than in most other arc lavas. The relation between concentrationand isotopic composition of boron observed here supports a hypothesisthat materials left after dehydration of the subducting slab may have contributedto the generation of basaltic andesite lavas at Mt. Shasta