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Quickhull Quicksort The Quickhull algorithm is based on the Quicksort algorithm. Recall how quicksort operates: at each level of recursion, an array of numbers to be ...
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... force: Main idea. Check each pair ... QuickHull: Main Idea ... Gift Wrapping: Main idea. Start at some extreme point, which is guaranteed to be on the hull. ...
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Generated the movie we see previously. Discuss a few applications of the framework. ... Suppose float precision up to , what should be to avoid round-off error? ...
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... plane into two half-planes: for all the points in one of them: ax ... A Fact From Analytical Geometry. P3 is to the left of the line P1- P2 if and only if ...
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Work well for a limited class of problems. Programming-Languages. Community. 12/10/09 ... fun qs (l,rest) = case l of. NIL = rest | CONS(h,t) = (smaller, ...
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Title: CPSC 367: Parallel Computing Author: Oberta A. Slotterbeck Last modified by: jbaker Created Date: 8/26/2005 1:18:57 AM Document presentation format
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Graphics. Design. Analyze. Apply. Core Geometric Algorithms. Application-Based Algorithms ... Points sorted angularly provide 'star-shaped' starting point ...
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Science. Applied Computer Science. Applied. Math. Geometry. Computational. Geometry. Efficient ... Add points, one at a time. update hull for each new point ...
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Algorithms: 2D Gift Wrapping. Use one extreme edge as ... Algorithms: 3D Gift Wrapping ... Idea is extended to 3D in Chapter 4. Algorithm: 2D DIVIDE-and-CONQUER ...
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Maintain a stack representing (left-turning) CH so far ... Qhull, Brad Barber (used within MATLAB) a. b. c. S. B. A. Worst-case: O(n2 ) Avg: O(n) ...
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Theory of Algorithms: Divide and Conquer Theory of Algorithms: Divide and Conquer Objectives To introduce the divide-and-conquer mind set To show a variety of divide ...
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SIMD and Associative Computing Computational Models and Algorithms * An Example Step 4 D E H I F C G B A 8 6 5 3 3 2 2 2 1 6 1 4 2 4 7 Add the node with the ...
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Assume that they have been sorted in ascending order of their x coordinate. ... of their x-coordinates with ties resolved by increasing order of y coordinates. ...
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Many papers ... Control dependences arise from function calls ... Function Call Tree for Quicksort. 14 January 2004 ...
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Associative Computing Models SIMD Background References: [3] Michael Quinn, Parallel Computing: Theory and Practice, McGraw Hill, 1994, Ch. 1,2
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Design and Analysis of Algorithms - Chapter 4. 1. Divide and Conquer ... Design and Analysis of Algorithms - Chapter 4. 10. Quicksort Example. 15 22 13 27 12 10 20 25 ...
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CSCE 310: Data Structures
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Agarwal, Atallah, Basch, Bentley, Chan, Cohen, Demaine, Eppstein, Even, ... Hoover, Horwitz, Hudak, Liu, de Moor, Paige, Pugh, Reps, Ryder, Strom, ...
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You're responsible for material in this chapter that we discuss in lecture. ... Add points, one at a time. update hull for each new point ...
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Delaunay Tessellation of Proteins: A Computational Geometry Approach to Protein Analysis ... Delaunay tessellation of a set of d-dimension points is equivalent ...
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Title: CPSC 367: Parallel Computing Author: Oberta A. Slotterbeck Last modified by: jbaker Created Date: 8/26/2005 1:18:57 AM Document presentation format
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The Design and Analysis of Algorithms Chapter 4: Divide and Conquer Master Theorem, Mergesort, Quicksort, Binary Search, Binary Trees * Chapter 4.
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Transform and Conquer Transform and Conquer Algorithms based on the idea of transformation Transformation stage Problem instance is modified to be more amenable to ...
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formed by linearly linking amino acid residues (aa's are the building blocks of proteins) ... Dayhoff (similar wrt structure or function) (A,S,T,G,P),(V,L,I,M) ...
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The PSciCo Project: Parallel Scientific Computing in ML Robert Harper Carnegie Mellon University August, 2000
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An IS can select an arbitrary responder in constant time (i.e., pick-one) ... Use of searching instead of the ordering provided by linked lists, stacks, queues ...
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The most well known algorithm design strategy: ... If n is not a power of 2, matrices can be padded with zeros. Number of multiplications: ...
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Jorge L. Vittes. 10/15/09. Convex Hull for Dynamic Data. 2. Motivation. Application data is dynamic ... Makes a standard algorithm dynamic or kinetic. Requires ...
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June 12, 2003 (joint work with Umut Acar, and Guy Blelloch) Convex Hull for Dynamic Data ... Makes a standard algorithm dynamic or kinetic. Requires little ...
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The Multiple Associative Computing Model. Johnnie Baker, Jerry Potter, Robert Walker ... IEEE Computer, Nov. 1994, Potter, Baker, et al., pg 19-26. (Note: ...
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Dada una serie de puntos encontrar el menor convexo que los contiene. Fuerza bruta ... Lema 5.1: La intersecci n de conjuntos convexos es siempre un conjunto convexo. ...
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formed by linearly linking amino acid residues (aa's are the building blocks of proteins) ... of human lysozyme revealed by affinity labeling, Biochemistry 35 (1996) ...
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Check for pair straddling partition line L. both points must be within d of L ... Closest Pair. source: 91.503 textbook Cormen et al. Running Time: ...
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Propagate the effects on the output of a change to the input. Selective Memoization: ... Change propagation consists of. Re-running readers of changed cells. ...
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Notes on Brute-force approach. More example by using Divide and Conquer method ... Example 2 (brute-force approach) ... some brute-force algorithms are ...
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Why design a new language specifically for programming parallel algorithms? ... the running time of the algorithms without introducing a specific machine model. ...
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aff(S) = the set of all affine ... (flat = any set affine equivalent to k , for some k d. ... { gift-wrapping method, generalizes to higher dimensions} ...
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Department of Biochemistry, University of Cambridge, Cambridge, CB2 1GA ... Voronoi tessellation has proved to be a useful tool in protein structure analysis. ...
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The Multiple Associative Computing Model. Johnnie Baker, Jerry Potter, Robert Walker ... IEEE Computer, Nov. 1994, Potter, Baker, et al., pg 19-26. (Note: ...
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Provides a practical model that supports massive parallelism. Model can also support intermediate parallel applications (e.g., multimedia ...
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