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Closest point method information


The closest point method (CPM) is an embedding method for solving partial differential equations on surfaces. The closest point method uses standard numerical approaches such as finite differences, finite element or spectral methods in order to solve the embedding partial differential equation (PDE) which is equal to the original PDE on the surface. The solution is computed in a band surrounding the surface in order to be computationally efficient. In order to extend the data off the surface, the closest point method uses a closest point representation. This representation extends function values to be constant along directions normal to the surface.

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Closest point method

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The closest point method (CPM) is an embedding method for solving partial differential equations on surfaces. The closest point method uses standard numerical...

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Iterative closest point

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Iterative closest point (ICP) is an algorithm employed to minimize the difference between two clouds of points. ICP is often used to reconstruct 2D or...

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Nearest neighbor search

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the optimization problem of finding the point in a given set that is closest (or most similar) to a given point. Closeness is typically expressed in terms...

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Pole of inaccessibility

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area—sometimes the closest human beings are astronauts aboard the International Space Station when it passes overhead. The antipode of Point Nemo – the point on the...

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Condorcet method

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A Condorcet method (English: /kɒndɔːrˈseɪ/; French: [kɔ̃dɔʁsɛ]) is an election method that elects the candidate who wins a majority of the vote in every...

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Lattice problem

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queries to the oracle. The naive method to find the shortest vector by calling the CVPγ oracle to find the closest vector to 0 does not work because...

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Closest pair of points problem

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The closest pair of points problem or closest pair problem is a problem of computational geometry: given n {\displaystyle n} points in metric space, find...

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Ranked voting

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it selects the candidate who comes closest to being a Condorcet winner under a simple metric. Copeland's method assigns a score to each candidate derived...

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Monte Carlo method

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Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical...

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Inverse iteration

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_{\mathrm {closest~to~} \mu }}{\mu -\lambda _{\mathrm {second~closest~to~} \mu }}}\right|^{k}\right).} This is a key formula for understanding the method's convergence...

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Philosophical methodology

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is the most conservative, i.e. the one closest to the beliefs we currently hold. One problem with these methods of theory selection is that it is usually...

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Inverse distance weighting

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this type of method was motivated by the weighted average applied, since it resorts to the inverse of the distance to each known point ("amount of proximity")...

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Ranked pairs

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Ranked pairs (or RP), sometimes called the Tideman method, is a tournament-style system of ranked-choice voting first proposed by Nicolaus Tideman in 1987...

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Least squares

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The method of least squares is a parameter estimation method in regression analysis based on minimizing the sum of the squares of the residuals (a residual...

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Cardinal direction

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which a cardinal direction or compass point can be determined in navigation and wayfinding. The most direct method is using a compass (magnetic compass...

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Bondage positions and methods

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of males respond erotically to BDSM. A number of bondage positions and methods are used in rope bondage and other BDSM activities. Ropes are a common...

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Worley noise

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location in space takes the distances Fn to the nth-closest point (e.g. the second-closest point) and uses combinations of those to control color information...

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Ensemble learning

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the ensemble that is closest to the distribution of the training data. It essentially reduces to an unnecessarily complex method for doing model selection...

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Agile software development

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time including extreme programming, scrum, dynamic systems development method, adaptive software development and being sympathetic to the need for an...

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Rounding

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One method, more obscure than most, is to alternate direction when rounding a number with 0.5 fractional part. All others are rounded to the closest integer...

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