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Topic: Interpolation search

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	Search algorithm Summary
		Brute-force search or "naïve"/uninformed search algorithms use the simplest, most intuitive method of searching through the search space, whereas informed search algorithms use heuristics to apply knowledge about the structure of the search space to try to reduce the amount of time spent searching.
		Interpolation search is better than binary search for very large sorted lists with fairly even distributions.
		This is a type of search which solves constraint satisfaction problems where, rather than looking for a path, the solution is simply a set of values assigned to a set of variables.
	www.bookrags.com /Search_algorithm (2176 words)

	Image processing method and apparatus - Patent 6233004
		A corresponding plane interpolation processing unit 18 performs interpolation on the two dimensional multi-viewpoint input image in accordance with the plane coefficients 15 of a plane ensured of its existence by the corresponding plane judging unit 17, and generates a two dimensional multi-viewpoint output image.
		The corresponding plane interpolation unit 18 applies interpolation to the multi-viewpoint image stored in the input image storage unit 11 on the basis of the plane coefficients 15 inputted by the corresponding plane judging unit 17.
		In this case, the interpolation method to be used may be a method using an average of neighboring pixel values, a method using a value of nearest pixel as it is, and so on.
	www.freepatentsonline.com /6233004.html (10147 words)

	Highbeam Encyclopedia - Search Results for interpolation (Site not responding. Last check: 2007-10-13)
		Interpolation methods for adapting to sparse design in nonparametric regression.
		Dasymetric estimation of population density and areal interpolation of census data.
		Inconsistent estimation and asymptotically equal interpolations in model-based geostatistics.
	www.encyclopedia.com /searchpool.asp?target=interpolation (602 words)

	Interpolation methods
		All methods use the idea of a prediction search neighborhood, where you look at the dozen or so known values that are nearest to the prediction location and discard the rest of the data.
		Which values are included in the calculation can be determined by specifying and customizing the search neighborhood (read more), which is the region of the map around a selected point, in which data points are considered for the extrapolation.
		Interpolation using radial basis functions is shown by the purple surface; think of it as a fairly stiff rubber sheet that bends and folds to fit exactly to the sample data points.
	www.sppsr.ucla.edu /up206b/Interpolation_methods.htm (2464 words)

	Cprogramming.com - Discussion Articles - Efficient Searching from Sequential to Binary Search and Beyond
		Searching for data is one of the fundamental fields of computing.
		Such a search is called interpolation search because it estimates the position of the item being searched for based on the upper and lower bounds of the range.
		Interpolation search is theoretically superior to binary search.
	cprogramming.com /discussionarticles/sorting_and_searching.html (2220 words)

	[No title]
		Interpolation search is an extension of the binary search.
		To that end the difference of the first element of the interval (the smallest element) to the element to be searched is divided by the span of the interval values in relation to the interval length.
		Multiplied with the interval boundaries that then is the interpolated position of the element to be searched.
	www.animal.ahrgr.de /en/Animation35.html (214 words)

	Problem on search routines
		You are to provide implementations of the binary and imterpolation search routines that incidentally count the number of comparisons using the textbook's conventions, namely, each time through the while loop counts once.
		I decided that robust interpolation search has some rough edges that aren't sufficiently specified in your textbook, so we won't do that in this exercise.
		Interpolation search did only half as many comparisons, but more than wiped out the gain on its arithmetic.
	www.csm.astate.edu /~rossa/datastruc/searchprob.html (236 words)

	Fast motion-compensated video frame interpolator - Patent 6618439
		An additional motion search for interpolating all of the individual pixel trajectories is not required because the interpolation uses block-based motion vector information from a standard codec such as H.26x/MPEG.
		The concept of MCI is to interpolate the frame fti based on the knowledge of the location of moving objects and the corresponding motion trajectories among ft1, ft2 and fti.
		The motion compensated interpolation means may include a gap closure unit for processing gaps in the interpolated moving object block (MOti) to obtain increased solid areas in the interpolated moving object block (MOti) to improve a quality of the interpolated frame.
	www.freepatentsonline.com /6618439.html (8199 words)

	An Evaluation of Spatial Interpolation Methods on Air Temperature in Phoenix, AZ
		The ultimate goal of STIM is to develop an interpolation method that incorporates environmental, anthropogenic, and geographical data with one application of the STIM to create air temperature surfaces at the detailed spatial resolution representing the heterogeneity of the urban area.
		Interpolation is a method or mathematical function that estimates the values at locations where no measured values are available.
		In addition, for all of the interpolation methods the number of sample points to be used in the analysis of new locations was set to six points.
	www.cobblestoneconcepts.com /ucgis2summer/anderson/anderson.htm (3476 words)

	Standard Algorithms (Optimization Toolbox)
		The direction of search is determined by a choice of either the BFGS (Eq.
		Two line search strategies are used, depending on whether gradient information is readily available or whether it must be calculated using a finite difference method.
		If the interpolated point is greater than any of the three used for the interpolation, then it is replaced with the point with the smallest function value.
	www-rohan.sdsu.edu /doc/matlab/toolbox/optim/tutori6b.html (965 words)

	CS2604 P3
		The searching program should search the sorted file (generated above) for a target key value, using the interpolation search (textbook section 9.1), and output the found record.
		Interpolation search is a variant of the Binary Search algorithm that estimates the target position based on interpolation of the key values.
		for each recursion in the search, output the position (record number) in the input file of the interpolated record that was checked and its key value.
	courses.cs.vt.edu /~cs2604/spring06/project3.html (1728 words)

	Interpolation search - Wikipedia, the free encyclopedia
		This differs from the binary search, in that the binary search always divides the search space in half.
		On average the interpolation search makes about log(log(N)) comparisons (if the elements are uniformly distributed), where N is the number of elements to be searched.
		In reality, interpolation search is often no faster than binary search due to the complexity of the arithmetic calculations of approximating the indices.
	en.wikipedia.org /wiki/Interpolation_search (203 words)

	Interpolation of Point Data - A Case Study of Ontario / Quebec Climate Data (Site not responding. Last check: 2007-10-13)
		Interpolation (or gridding) is often used to estimate values for points, pixel centres, or nodes from scattered data points.
		It is evident that as points are deleted from the model, they interpolate the values of their neighbouring points, which may or may not produce an accurate model, depending on the application.
		In conclusion, it is evident that the accuracy of the methods discussed is dependent on the number of data points, the weighting exponent of the interpolation, the search area, and the data integrity.
	www.kralidis.ca /gis/hybrid/interpolation (1526 words)

	Searching
		Searching for the global maximum or minimum of a function is the problem of unconstrained optimization and is discussed in Section
		Interpolation search is probably a more accurate description of how we use a telephone book than binary search.
		Although interpolation search is an appealing idea, we caution against it for three reasons: First, you have to work very hard to optimize your search algorithm before you can hope for a speedup over binary search.
	www2.toki.or.id /book/AlgDesignManual/BOOK/BOOK4/NODE149.HTM (1442 words)

	Alibris: Interpolation
		In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points.
		This monograph is on interpolation and definability, a notion central in pure logic and with significant meaning and applicability in all areas where logic is applied, especially computer science, artificial intelligence, logic programming, philosophy of science and natural language.
		This technique, called interpolation theory in analytic design, is still not found in major introductory textbooks.
	www.alibris.com /search/books/subject/Interpolation (603 words)

	Numerical Interpolation (Site not responding. Last check: 2007-10-13)
		The process of finding the coefficients for the fitting function is called curve fitting; the process of estimating the outcomes in between sampled data points is called interpolation; whereas the process of estimating the outcomes beyond the range covered by the existing data is called extrapolation.
		The bottom line is, no matter how smooth the interpolation is and how close it is to the raw data, the problem is not completely solved unless the physical meaning behind the theme has been captured.
		Although the polynomial interpolation is probably the most widely used interpolating method, the rational function interpolation stands out when the data or function changes rapidly in some local regions, e.g., poles.
	www.efunda.com /math/num_interpolation/num_interpolation.cfm (224 words)

	Search algorithm - Wikipedia, the free encyclopedia
		Many of the problems in Tree search can be solved using SQL type searches.
		In a Hierarchical search your path is forced by the branches of the tree (example name by alphabetical order) while with SQL you have the flexibility of accessing the data along multiple directions (name, address, income etc...).
		While SQL search offers great flexibility to search the data, it still operates like a computer does: by constraints.
	en.wikipedia.org /wiki/Search_algorithm (1154 words)

	Thouis "Ray" Jones (Site not responding. Last check: 2007-10-13)
		We define a deterministic metric of "well-behaved data" that enables searching along the lines of interpolation search.
		In this sense, we capture the amount of "pseudorandomness" required for effective interpolation search.
		Interpolating images usually results in a blurring of edges and image details.
	people.csail.mit.edu /thouis (1580 words)

	Optimizing the Model for Code Generation (Real-Time Workshop)
		The choice of an index search method can be more complicated for lookup table operations of two or more dimensions with linear interpolation.
		The index search can be the most time consuming part of flat or linear interpolation calculations.
		A 50% reduction in index search time is obtained by pulling these common breakpoints out into a pair of PreLook-Up Index Search blocks, and using Interpolation (n-D) Using PreLook-Up Index Search blocks to perform the interpolation.
	www.weizmann.ac.il /matlab/toolbox/rtw/rtw_ug/opt_mo12.html (1690 words)

	Erik D. Demaine, Thouis Jones, and Mihai Pǎtraşcu: Interpolation Search for Non-Independent Data (Site not responding. Last check: 2007-10-13)
		Erik D. Demaine, Thouis Jones, and Mihai Pǎtraşcu, ``Interpolation Search for Non-Independent Data,'' in Proceedings of the 15th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2004), New Orleans, Louisiana, January 11-13, 2004, pages 522-523.
		Specifically, define Delta to be the ratio of distances between the farthest and nearest pair of adjacent elements.
		This result generalizes interpolation search and interpolation search trees smoothly to nonrandom (in particular, non-independent) input data.
	theory.lcs.mit.edu /~edemaine/papers/InterpolationSearch_SODA2004 (169 words)

	AnnoCPAN - Interpolation
		use Interpolation 'S:$$->$' => 'sprintfX'; print "$S{'%.2f %03d'}{37.5}{42}\n"; sqlescape - escapes single quotes for use in SQL queries round - rounds the number use Interpolation* round => 'round'; print "The sum is: $round{$sum, 0.
		The other problem is, that your interpolator might want to return an array.
		To make your life easier this module provides a way to specify the "type" of the interpolator and then does the necessary splits, joins or magic itself.
	www.annocpan.org /~JENDA/Interpolation-0.70/Interpolation.pm (1033 words)

	ICS 165 Project
		Use A to search S for the smallest element having value greater than V.
		The result of a single search for a value v in a randomly generated (via FILLIN) array of 100 double floats (S) in the interval [0,100].
		Print the random value v that your program used and the value of the element that resulted from the search.
	www.ics.uci.edu /~dan/class/165/1search.htm (384 words)

	Interpolation Search (Site not responding. Last check: 2007-10-13)
		Another variant of binary-search is not to use the middle element of a subset to compare to the searched item, but to guess more precisely where the key being sought falls within the current interval of interest (think of searching in a telephone directory).
		Since the present implementation of the preprocessor does not allow more than one identifier in the discrete-loop, our example is not executable at the moment.
		This function grows very slowly, but the advantage of few comparisons can be lost by the complexity of the arithmetical operations.
	www.auto.tuwien.ac.at /~blieb/woop/inter.html (175 words)

	interpolation - OneLook Dictionary Search
		Interpolation : Quanto Financial Technology Dictionary [home, info]
		Phrases that include interpolation: hermite interpolation, lagrange interpolation, polynomial interpolation, vandermonde interpolation approach, approximate interpolation, more...
		Words similar to interpolation: interjection, interpolate, interposition, more...
	www.onelook.com /?w=interpolation (337 words)

	MCS 360 Lecture Twenty Thirty Six (Site not responding. Last check: 2007-10-13)
		The last search technique we discussed in this lecture was interpolation search.
		Notice that the evaluation of the interpolation formula may lead to extrapolation: i.e.: the value for the index goes out of the bounds.
		/* L-36 MCS 360 Monday 14 April 2003 * Test on the use of the interpolation search.
	www.math.uic.edu /~jan/mcs360/lec36.html (259 words)

	what's the fastest search algorithm - GameDev.Net Discussion Forums
		You only have to want to search the data more than once for these techniques to be worthwhile.
		Thus, binary search is algorithmically equivalent to an N-ary search, which is basically the way we search a phonebook (except we aren't good enough to have indexes to each section, so we instead guess, which is essentially just replacing the first many iterations of a binary search with a quick approximation).
		I think he was referring to hashing where open hashing / separate chaining is usually the best variant for a unknown number if elements where it's in O(n/m) in the average case where n is the effective number of stored elements and m is the number of of slots in your hash table iirc.
	www.gamedev.net /community/forums/topic.asp?topic_id=381428 (1348 words)

	Interpolation Search for Point Cloud Intersection (Site not responding. Last check: 2007-10-13)
		It can be used to detect collisions between implicit surfaces defined by two point sets, or to construct their intersection curves.
		Our approach utilizes a proximity graph that allows for quick interpolation search of a common zero of the two implicit functions.
		Second, an interpolation search along shortest paths in the graph is performed.
	www2.in.tu-clausthal.de /~zach/papers/wscg05.html (281 words)

	Center for Integrated Turbulence Simulations
		Basic concept: a parallel, scalable, distributed module that automatically takes care of mesh / solution interpolations to exchange information between CFD solvers, Structral dynamics codes, etc. The code-interfacing is designed around a distributed "interpolation server".
		Participating codes "register" the required data and their locations and "provide" their local mesh and solutions to the other components in the integrated environment.
		All the necessary searches and interpolations (both non-conservative and conservative) can be done with the most advanced, parallel methodologies with very small memory overhead
	www.stanford.edu /group/cits/research/multicode.html (245 words)

	1.3.2 Searching (Site not responding. Last check: 2007-10-13)
		Excerpt from The Algorithm Design Manual: We treat searching here as a problem distinct from dictionaries because simpler and more efficient solutions emerge when our primary interest is static searching.
		Also, several of the ideas from list and array searching, such as binary search and self-organization, apply to other problems and justify our attention.
		To search for key $q$, we compare $q$ to the middle key $S_{n/2}$.
	www.cs.sunysb.edu /~algorith/files/searching.shtml (294 words)

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