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Topic: Intersection algorithm


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In the News (Tue 22 Dec 09)

  
  Marzullo's algorithm - Wikipedia, the free encyclopedia
Marzullo's algorithm, invented by Keith Marzullo for his Ph.D. dissertation, is an agreement algorithm used to select sources for estimating accurate time from a number of noisy time sources.
Marzullo's algorithm is efficient in terms of time for producing an optimal value from a set of estimates with confidence intervals where the actual value may be outside the confidence interval for some sources.
A more sophisticated approach would recognize that this could be throwing away useful information from the confidence intervals of the sources and that a probabilistic model of the sources could return a value other than the center.
en.wikipedia.org /wiki/Marzullo's_algorithm   (856 words)

  
 UOR_7.2.4
The algorithm begins by sorting the 2n end points from left to right according to the values of their x-coordinates and then sweeps through the 2n end points from left to right.
During the sweep, the algorithm maintains a list of current line segments which is sorted according to the order in which the line segments intersect the vertical sweep line.
To prove that this algorithm works, (i.e., that it finds an intersection if there is at least one), it is sufficient to show (see Problem 7.5) that if the algorithm is not stopped when it finds its first intersection, it is guaranteed to find eventually the leftmost intersection of the line segments.
web.mit.edu /urban_or_book/www/book/chapter7/7.2.4.html   (943 words)

  
 Curve and Surface Intersection Problems
The difficulty of the intersection problem, and the type of algorithm which best suits it, depends also on the general form of the curves or surfaces we are dealing with (implicit, explicit, parametrized), along with their particular properties (special or free-form).
They compare the intersection between the two well-parametrized surfaces (fig.1) with the intersection between the same surfaces, in which the bottle surface is badly parametrized; in fact it is built as a revolving surface with a badly parametrized circular trajectory curve (fig.2).
In the second case our algorithm presents an increased computational cost due to the fact that the solution for the parametric domain shown in fig.2 is given by a less smooth curve than in the first case (see fig.1).
www.dm.unibo.it /~casciola/html/research_csip.html   (1051 words)

  
 Exact Representations from Feed-Forward Neural Networks
The algorithm consists of two parts, a part which generates all the possible vertices and connecting line segments, and a part that evaluates whether these basic elements form the boundaries of decision regions.
For an intersection of hyperplanes to be a boundary we seek that all hyperplanes making up the intersection have at least one face that acts as a boundary in its vicinity.
Treating the activation functions as threshold, the DIBA algorithm was used to generate the immediate figure showing the network's representation of the learnt circle-- a decision region composed of the hidden unit line boundaries.
helen.cs-i.brandeis.edu /pr/DIBA   (2406 words)

  
 Ling Huang's world
This algorithm combines the techniques of loop detection, point marching and curve approximation, etc. Given a set theoretical curves constrained by surface/surface intersection equations, the algorithm can get all the intersection branches, and construct spline curves to approximate every theoretical curve with least data in terms of the given tolerance.
In subdivision based algorithms, the surfaces are subdivided into a great number of facets and the intersection of surfaces is approximated by the intersection of the facet pairs.
It is convenient to express an intersection curve as a set of points on the two surfaces with zero distance which results in the oriented distance function of one surface from the other.
www.cs.berkeley.edu /~hling/research/paper/intersection.htm   (1431 words)

  
 Computing Cut-faces   (Site not responding. Last check: 2007-11-02)
The algorithm proceeds by using each face of the first body (as a clipping plane) to break each face of the second into (up to) two parts; this operation is repeated to break the faces of the first body using the clipping planes defined by the faces of the second.
At this point, since any possible intersections have been computed, one is guaranteed that the remaining facets intersect only through collinear edges, and the facets can be sorted with respect to their individual properties.
This two-body intersection algorithm is definitely one of the most perverse applications of the polygon clipper found to date.
www.engin.umich.edu /labs/cfd/users/charlton/Thesis/html/node32.html   (773 words)

  
 [No title]
So, any intersection point that occurs within the CRP distance of any other intersection point is considered irrelevant (except for the first and last points in a series of correlated points).
Only detect standstill intersections within each si -- no need to use entire union of all members of S. (standstill intersections cannot be with other tracks).
This is undoubtedly the actual point where the gps unit was "standing." --Add this 'center' point to the list of relevent intersections since most likely the gps stopped at a point of interest (ie a real intersection, or a turn around point).
www.cs.arizona.edu /~smorris/outline.txt   (599 words)

  
 Description of the Sequential Algorithm   (Site not responding. Last check: 2007-11-02)
The primary focus of the intersection algorithm is to compute and characterize set intersection of an observer's area of interest (bounding box) and map feature polygons.
The intersection algorithm must also determine if the polygon is a proper subset of the bounding box or the bounding box is a proper subset of the polygon.
In this situation, given an intersection point and the corresponding intersecting edges, we want to determine which of (or part of the) the edge will be in the solution.
www.cs.umn.edu /research/shashi-group/paper_html/SSD95/node30.html   (683 words)

  
 Algorithm Description
For an intersection, the algorithm (1) makes sure there are no feature points even closer to the intersection, (2) adds a third line, and (3) makes the intersection point an endpoint for the three lines.
The event corresponding to the intersection is inserted at the point on the circle through the 3 feature points, furthest away from the scanline origin.
The number of intersections that appear in the graph is always linear with repect to the number of features, and the number of intersections processed is always at most twice this.
www-cvr.ai.uiuc.edu /~kloder/ece450/fortune.htm   (945 words)

  
 Intersections for a 2D Set of Segments
Algorithms solving these problems are used in many application areas such as computer graphics, CAD, circuit design, hidden line elimination, computer vision, and so on.
However, their algorithm did not achieve the theoretical lower bound; and thus, was only the first of many output-sensitive algorithms for solving the segment intersection problem.
For a segment in one graph, we only need the intersections with segments in the other graph, and so this is a red-blue intersection problem which could be solved with an efficient red-blue algorithm.
www.geometryalgorithms.com /Archive/algorithm_0108/algorithm_0108.htm   (3391 words)

  
 [No title]
The first intersection algorithm which is used as a primer to the other algorithm (which actually traces out the intersection line) is specific to subdivision surfaces, but my eventual goal is only to use that on the highest level, which means its usefulness is not taken advantage of.
Also, of course, my algorithms took advantage of this extra data and the data really is essential for some of the steps.
Decided that finding the intersection line could be done better by tracing out the intersection line and all of the triangle intersections in order.
www.cs.unc.edu /~reb/classes/comp258/project/report.html   (659 words)

  
 Surface-to-Surface Intersection Algorithms
A second (slower) method for the intersection test, which relies on edge-face intersection tests, can be found in [99:1] and [99:2].
The set of bounding volume intersections is an inclusion for the intersection curve of the original surfaces.
Considering a pair of intersecting patches, the subdivision process can be accelerated by an early detection of parts of a patch which definitely do not intersect with the other one.
www.ads.tuwien.ac.at /research/ssi   (1267 words)

  
 [No title]   (Site not responding. Last check: 2007-11-02)
We also present algorithms to compute a start point on each component of the intersection curve (both open and closed components), detect the presence of singularities, find all the curve branches near the singularity, and also suggest methods to compute the step size during tracing to prevent component jumping.
The loops of the intersection curve are characterized algebraically and computed using curve-surface intersections followed by complex tracing.
This is a major advantage of our tracing algorithm since incorrect connectivity of the various curve components was considered a drawback with traditional marching methods.
www.cs.unc.edu /~krishnas/abstract.html   (403 words)

  
 [No title]
In my thesis, written at RISC-Linz, I have developed two algorithms for the computation of the intersection of invariant rings R, S, provided that R, S, and R intersected with S are finitely generated.
The second algorithm, together with a refined version of the first algorithm, is contained in my paper Computing the Intersection of Invariant Rings.
Contrary to the approaches of Abud-Sartori and Gatermann, our algorithms construct a stratification of the representation space of G, and only then to construct the stratification of the orbit space (or the images of relevant strata) by means of elimination theory (equations) and refinements of results of Procesi and Schwarz (inequalities).
wwwmayr.informatik.tu-muenchen.de /personen/bayert/software.html   (656 words)

  
 Finding out if two areas on the globe intersect
We present a one-line algorithm that tests for the intersection of two segments of a circle.
The algorithm was derived on Fri, 28 Aug 1998 01:21:34 GMT.
Therefore, the georectangle intersection approach can be used as the first, winnowing stage in checking for intersection of complex areas on the globe.
okmij.org /ftp/circle-segments-intersect-p.html   (873 words)

  
 KevLinDev Blog » Blog Archive » Intersection Algorithm Dispatcher
The Intersection object is now responsible for dispatching to the appropriate intersection method based on the shapes that are passed to it.
The Quadratic Bezier-Circle intersection example shows what’s needed to setup everything so that Batik will successfully validate the SVG file and at the same time make ASV use it’s internal scripting engine.
This entry was posted on Monday, May 6th, 2002 at 12:11 pm and is filed under Algorithms.
www.kevlindev.com /blog?p=18   (343 words)

  
 Journal of Graphics Tools - Papers - Fast, Minimum Storage Ray-Triangle Intersection
We present a clean algorithm for determining whether a ray intersects a triangle.
The algorithm translates the origin of the ray and then changes the base to yield a vector (t u v)T, where t is the distance to the plane in which the triangle lies and (u,v) represents the coordinates inside the triangle.
A report on the efficiency of this algorithm as compared with Baduel’s algorithm.
jgt.akpeters.com /papers/MollerTrumbore97   (265 words)

  
 Windows NTP Time Client: 4.2.1 Intersection Algorithm
The following algorithm is adapted from DTS [DEC89] and is designed to produce the largest single intersection containing only truechimers.
The algorithm begins by initializing a value f and counters i and c to zero.
Without resetting f or c, a similar procedure is used to find the upper endpoint, except that the value of type is added to the counter..
www.bytefusion.com /products/ntm/ptnt/4_2_1intersectionalgorithm.htm   (444 words)

  
 UNIT 32 - SIMPLE ALGORITHMS I - INTERSECTION OF LINES
the algorithm illustrates one of the principles of this type of programming, that there are numerous special cases which have to be dealt with.
an algorithm is a procedure consisting of a set of unambiguous rules which specify a finite sequence of operations that provides the solution to a problem, or to a specific class of problems
consequently, the choice of an algorithm for a small problem is not critical unless the problem has to be solved many times.
www.geog.ubc.ca /courses/klink/gis.notes/ncgia/u32.html   (1525 words)

  
 IDAV Publication: An efficient surface-surface intersection algorithm using adaptive surface triangulations and space ...   (Site not responding. Last check: 2007-11-02)
IDAV Publication: An efficient surface-surface intersection algorithm using adaptive surface triangulations and space partitioning trees
The algorithm is based on intersecting surface triangulations and improves the resulting linear spline curve approximations of the exact intersection curves by replacing intersecion points of the surface triangulations by exact intersecion points.
We use a specialized data structure, the k-d tree, for the efficient intersection of surface triangulations.
graphics.cs.ucdavis.edu /publications/bibtex_html?pub_id=80&category=1   (147 words)

  
 A Parallel Intersection Algorithm for Vector Polygon Overlay
A parallel intersection algorithm for speeding the creation of a composite network of polygons whose identities relate to the original polygons from which they are formed in vector geographic information systems (ISs) is described.
The algorithm reduces unnecessary intersection checking, especially when polygon density is high.
Experimental results illustrating the overall performance of the parallel algorithm are presented.
csdl.computer.org /comp/mags/cg/1993/02/g2074abs.htm   (309 words)

  
 IDAV Publication: An efficient surface-surface intersection algorithm using adaptive surface triangulations and space ...   (Site not responding. Last check: 2007-11-02)
An efficient surface-surface intersection algorithm using adaptive surface triangulations and space partitioning trees (Article)
We present a robust and efficient surface-surface intersection (SSI) algorithm.
The resulting intersection curves are guaranteed to lie within a user-specified tolerance.
graphics.cs.ucdavis.edu /publications/print_pub?pub_id=80   (146 words)

  
 2D Polygon Intersection Algorithm - GameDev.Net Discussion Forums   (Site not responding. Last check: 2007-11-02)
Posted - 2/1/2005 2:27:10 AM Hi, I've been looking on the net for algorithms handling 2D polygons intersection (or union) or just a simple 2d polygon clipping (I know I can derive intersection algorithm from there).
I'm trying to make Sutherland-Hodgman algorithm to work but it fails when I clip/intersect a polygon and the result should be 2/more polygons (i hope you understand what it means)
Hi, I've been looking on the net for algorithms handling 2D polygons intersection (or union) or just a simple 2d polygon clipping (I know I can derive intersection algorithm from there).
gamedev.net /community/forums/topic.asp?topic_id=298071&whichpage=1   (446 words)

  
 KevLinDev Blog » Blog Archive » Intersection Algorithm Progress and Batik Conversion   (Site not responding. Last check: 2007-11-02)
Progress on the last three intersections is coming along slowly.
If you’re curious, the changes have been made in the tutorials section for animation and basic shapes.
This entry was posted on Wednesday, May 8th, 2002 at 10:03 pm and is filed under Algorithms.
www.kevlindev.com /blog?p=19   (207 words)

  
 MySQL Reference Manual :: 7.2.6.1 Index Merge Intersection Access Algorithm   (Site not responding. Last check: 2007-11-02)
This access algorithm can be employed when a
The Index Merge intersection algorithm performs simultaneous scans on all used indexes and produces the intersection of row sequences that it receives from the merged index scans.
If all columns used in the query are covered by the used indexes, full table records are not retrieved and (
sunsite.icm.edu.pl /mysql/doc/mysql/en/index-merge-intersection.html   (272 words)

  
 MySQL 5.0 Reference Manual :: 7.2.6.1 The Index Merge Intersection Access Algorithm
MySQL 5.0 Reference Manual :: 7.2.6.1 The Index Merge Intersection Access Algorithm
MySQL 5.0 Reference Manual :: 7 Optimization :: 7.2 Optimizing SELECT and Other Statements :: 7.2.6 Index Merge Optimization :: 7.2.6.1 The Index Merge Intersection Access Algorithm
If all columns used in the query are covered by the used indexes, full table rows are not retrieved (
dev.mysql.com /doc/refman/5.0/en/index-merge-intersection.html   (290 words)

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