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Topic: Convolution (computer science)


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  Convolution - Wikipedia, the free encyclopedia
In mathematics and in particular, functional analysis, convolution is a mathematical operator which takes two functions f and g and produces a third function that in a sense represents the amount of overlap between f and a reversed and translated version of g.
An out-of-focus photograph is the convolution of the sharp image with the blur circle formed by the iris diaphragm.
In acoustics, an echo is the convolution of the original sound with a function representing the various objects that are reflecting it.
en.wikipedia.org /wiki/Convolution   (723 words)

  
 Computer Science
Courses: Computer Science 25; Mathematics 16, 20, 22; and one of Mathematics 38 or 88 or Computer Science 85 with approval of the Undergraduate Advisor.
This course provides an overview of computing and computer science, including such topics as the history of computers, computer applications, introductory concepts in digital electronics and computer architecture, computer languages, theory of computation, artificial intelligence, and the impact that computers have had on society and are likely to have in the future.
Prerequisite: Computer Science 18 and Computer Science 19.
www.dartmouth.edu /~reg/courses/desc/cosc.html   (5453 words)

  
 PlanetMath: convolution
This definition bears no mathematical relation to the notion of convolution of functions.
This is version 7 of convolution, born on 2004-03-29, modified 2004-03-30.
(Computer science :: Theory of computing :: Algebraic theory of languages and automata)
planetmath.org /encyclopedia/Convolution2.html   (70 words)

  
 UW - La Crosse Computer Science Department
Students majoring in computer science who wish to enroll in CEI 450 or CEI 475, University Internships, must have completed 15 credits of computer science course work, including C-S 220, and must have a minimum GPA of 2.50 in computer science courses to be eligible for departmental approval and supervision.
An in-depth analysis of the computational complexity of a wide range of algorithms for problems of fundamental importance to computer science.
A faculty member in the Computer Science department and a supervisor in the unit from where the problem is chosen (another department or industry) will jointly supervise / guide the student.
www.cs.uwlax.edu /courses.htm   (2654 words)

  
 COMPUTER SCIENCE (C-S)
PHY 335, MTH 317, and MTH 371 may be used as alternatives to computer science electives.
The computer science department incorporates a significant amount of writing throughout the required core courses instead of identifying particular courses as writing emphasis courses.
The capabilities and limits of several computation models are considered including: partial recursive functions, Turing machines, finite state automata and formal languages.
www.uwlax.edu /records/01-03/UG-Cat/c_s.html   (1941 words)

  
 Citations: A kinetic framework for computer geometry - Guibas, Ramshaw, Stolfi (ResearchIndex)   (Site not responding. Last check: 2007-11-05)
The convolution curve B (A) is shown in Figure 2(d) and Figure 2(e) shows the Minkowski sum boundary (B (A) in bold line around the obstacles B. In Figure 2(f) as the object A moves....
Convolution is closely related to the notion of Minkowski sum.
In Figure 4(b) we compute the C 1 C 2 C 2 C 1 x y x y (a) b) Figure 3: O set and convolution curves: a) o set, and (b) convolution Minkowski sum O 1 (O 2) where O 2 is the symmetric object of O....
citeseer.ist.psu.edu /context/383070/0   (1095 words)

  
 Dictionary of Computer Science
convolution: an image processing technique in which each pixel is altered by some function of the surrounding pixels; different functions produce a variety of effects.
Internet: the global network of computers; produced from a motley collection of local and national networks by adding standard conventions and programs; provides email, ftp, WWW and other services; the Internet is the most important example of an internet (lower case i) which connects networks together.
parallel: a parallel computer is one which has many processors and so can run many programs or processes at once; a parallel program is one which is organised as a collection of cooperating processes so that it can take advantage of a parallel computer.
www.cs.bris.ac.uk /Teaching/Resources/COMS11301/jargon.html   (5692 words)

  
 Doctoral Dissertation Abstracts (UNC-CH Computer Science)
Operationally, in a computer proof-checker an automatic theorem-prover would be used to validate a semantic inference by attempting to prove a corresponding theorem from stated axioms and implied definitions.
Computing the polygonal definitions of the portals is cast as a problem of computing a set difference operation, union, intersection and difference, on co-planar sets of polygons is presented with an emphasis on handling real-world data.
Using a computer system to replay and evaluate this type of data is not new; however, using a head-mounted display and evaluating its effectiveness is new.
www.cs.unc.edu /Publications/PHDAbstracts.html   (16484 words)

  
 Homework #5: 2D Convolution
The source code used for this project is here (Convolution of 2 images) and here (Sobel operation on an image).
The result is due to the convolution operation on the two images.
Since the squares are the same image and size, their convolution creates a gradient with the brightest spot in the center of the squares.
emrl.byu.edu /chris/classes/cs450/homewk5   (535 words)

  
 Computer Science
Introductory courses may teach programming and theories of computing or offer a general overview of the use and application of popular microcomputer software; more advanced courses deal with topics ranging from artificial intelligence and the role of computers in society to the design and implementation of advanced hardware or software systems.
All courses in the computing curriculum offer a blend of theory and practical application, with many of the offerings having a significant project component in which students are given the opportunity to apply the classroom material to real-world problems.
This course is an introduction to theoretical aspects of Computer Science such as formal language and automata theory and complexity theory.
www.mta.ca /calendar/03-04/ComputerScience.html   (1897 words)

  
 SOU Catalog
Computer science is an exciting and growing field with career opportunities ranging from running a small business to working in big industry, government, or education.
Because computer science options are similar, students do not need to choose one until their sophomore or junior year.
In addition to the general requirements for entrance, the Computer Science Department requires a year of programming; an introduction course in databases, including normalization and SQL; and an introductory course in networks.
www.sou.edu /catalog/03-04/html/CIS.html   (2302 words)

  
 CSUH Catalog 2004-2005: Computer Science (Graduate)
This approach is especially important in Computer Science, where training in specific languages and systems and on specific machines is transitory, as these languages, systems, and machines evolve.
Computer Science students at Cal State Hayward have access to some of the most modern and powerful computer equipment available.
All 3000-level (except for CS 3898), 4000-level and 6000-level Computer Science courses not used in categories (A), (B), and (C) above or as an admission requirement may be used as electives toward the master's degree.
www.csuhayward.edu /ecat/20042005/g-cs.html   (2148 words)

  
 CSC-COMPUTER SCIENCE
Computer problem solving and the use of computers.
CSC 103  Fundamentals of Computer Science III (4)
Corequisite: CSC 141, significant background in computer science, and consent of instructor.
www.calpoly.edu /~acadprog/2003depts/cengr/csc_dept/csccrs2003.html   (2999 words)

  
 Computer Science
The candidate for the M.S. degree in Computer Science may choose a thesis or a non-thesis option.
Prerequisite CSC 251 or consent of the instructor.
Prerequisites: CSC 751 or consent of the instructor.
www.sdsmt.edu /admin/univrel/catalog/96-97/colleges_grad/cs.html   (1194 words)

  
 Vision2004
Computer vision has a rich history of work on stereo and visual motion, which has dealt with the problems of 3D reconstruction from binocular or N-ocular images, and structure from motion from video sequences.
Computer vision is playing an important and somewhat different role in solving these problems in video computing than the original image analysis considered in the early days of vision research.
Students who take the course for credits will be required to finish 3 assignments of paperwork (30%), one midterm exam (20%), and one programming project with exit interview (50%, including submit a report and give a small presentation to the class at the end of the semester).
www-cs.engr.ccny.cuny.edu /~zhu/VisionCourse-2004.html   (570 words)

  
 Computer Science Technical Report 1999-17
In the theory of random walks, it is notable that the central binomial coefficients ${2n \choose n}$ count the number of walks of three different special types, which may be described as `balanced', `non-negative' and `non-zero'.
One of these coincidences is equivalent to the well-known convolution identity \[ \sum_{p+q=n} {2p \choose p}{2q \choose q} = 2^{2n}.
In particular, new natural bijections for the convolution identity based on the unifying idea of Catalan factorization are described.
www.cs.ucsb.edu /research/trcs/abstracts/1999-17.shtml   (133 words)

  
 Students' Brochure:M.Tech(Computer Science)   (Site not responding. Last check: 2007-11-05)
The Master of Technology in Computer Science course is conducted in two years which is divided into four semesters.
The work for a dissertation should be substantial and relate to some important problem in an area of Computer Science or related topics and should have substantial theoretical or practical significance.
A critical review of recent advances in an area of Computer Science or related topics with some contribution by the student is also acceptable as a dissertation.
www.isical.ac.in /~deanweb/Mtech1.html   (11169 words)

  
 Department of Computer Science QUB
The computation time for extracting features is unacceptable for larger images especially in real-time image processing.
In such cases the computer is not primarily performing a task for us and generating an answer within itself, rather it is helping us to generate answers within ourselves.
In order to design computer systems that support the creative process, it is important to understand that process well enough to predict what might help, rather than hinder.
www.cs.qub.ac.uk /News/Announce.html   (2594 words)

  
 Stevens Institute | Computer Science   (Site not responding. Last check: 2007-11-05)
In addition, the use of Java in enterprise-wide computing and distributed systems will be introduced by considering APIs in general, and the ones specific to JDBC and the Java security features in particular.
The objective of the course is to provide a comprehensive introduction to the field of computer graphics, focusing on the underlying theory and thus providing strong foundations for both designers and users of graphical systems.
A written report is required, which should have importance in Computer Science and should have the substance of a publishable article.
www.cs.stevens.edu /Courses/Graduate_Courses.shtml   (3782 words)

  
 UMass Amherst: Department of Computer Science   (Site not responding. Last check: 2007-11-05)
Ultimately, computer vision systems must include mechanisms that enable them to function in haze, fog, rain, hail and snow.
An important theoretical contribution of our work is the derivation of a closed form solution to multiple scattering from a point light source immersed in a medium.
His research interests are in the fields of Computer Vision and Computer Graphics.
www.cs.umass.edu /csinfo/colloquia/DEPT/narasimhan.html   (364 words)

  
 IBM Research - Computer Science - Computer Science Honors
IBM Researchers have been internationally recognized for their outstanding achievements in Computer Science and related disciplines.
For contributions to the theory and practice of computer performance modeling.
For analysis of computational complexity which established bounds on the time required to compute certain mathematical functions.
www.research.ibm.com /compsci/ieee.html   (648 words)

  
 COMPUTER SCIENCE TECHNICAL REPORT ABSTRACTS
This report supersedes and enhances Computer Science Department
The underlying topological approach leads further to a representation of proteins by line weavings.
We exhibit algorithms for computing the metric and for detecting similarity.
reports-archive.adm.cs.cmu.edu /anon/2004/abstracts/04-138.html   (514 words)

  
 EECS COURSES
Goals: To give the students majoring in computer science and computer engineering a mathematical foundation for computer science and engineering topics; to further develop their mathematical maturity in relating abstract concepts to practical applications.
An intensive study, with report of a topic in computer science which is not treated in other courses.
Emphasis is on design, implementation, test and evaluation of an engineering project in any of the diverse areas of electrical and computing engineering and computer science consistent with the abilities of the student and departmental resources.
www.eecs.lehigh.edu /general/courses.html   (8407 words)

  
 IBM Research - Computer Science - Computer Science Brochure
In the area of analysis of communication systems, members of IBM research developed the Convolution algorithm and Mean Value Analysis (MVA) techniques for analyzing queueing networks.
The challenge is to extend today's Internet-enabled services to pervasive computing devices and to create new wireless Internet middleware and services, such as location-based services and wireless content distribution.
We are developing an intelligent Internet infrastructure that improves the performance and scalability of distributed applications by moving computation to the edge of the network.
www.research.ibm.com /compsci/brochure2001/comm_brochure.html   (691 words)

  
 CSU Computer Science Research Symposium   (Site not responding. Last check: 2007-11-05)
Presented by the CSU Department of Computer Science and Upsilon Pi Epsilon
Undergraduate students considering graduate study in computer science are especially encouraged to attend and learn about graduate level research.
Properties of RD are derived, and it is shown that the reorder response of the network formed by cascading two subnets is equal to the convolution of the reorder responses of individual subnets.
www.cs.colostate.edu /symposium   (5573 words)

  
 Theoretical Computer Science
253--271 R. Casas and M.-I. Fernandez-Camacho and J.-M. Steyaert Algebraic simplification in computer algebra: an analysis of bottom-up algorithms.
179--193 N. Oussous Computation, on Macsyma, of the Minimal Differential Representation of Noncommutative Polynomials.
D. Knuth Theory and practice (computer science) 1--15 I. Pottosin Analysis of program optimization possibilities and further development 17--36 V. Kasyanov Transformational approach to program concretization.
www.math.utah.edu /pub/tex/bib/toc/tcs1990.html   (5317 words)

  
 Alexis Angelidis: Students: Computer Science
Field function for a segment skeleton: computes the field by convolution of r^2/d^2 along the segment (v0, v1), where r = r0 at v0 and r = r1 at v1.
Swirling-sweeper class: Computes a volume-preserving deformation of a list of points (eventually on a shape's surface).
Call the constructor with the appropriate 3 parameters: source point, destination point, radius of influence.
www.cs.otago.ac.nz /postgrads/alexis/code.html   (157 words)

  
 Computer Science - Sixth Semester - EC 602 DIGITAL SIGNAL PROCESSING   (Site not responding. Last check: 2007-11-05)
Discrete-time systems, classification : static, dynamic systems non-linear systems, causal, non causal stable, unstable system interconnection of discrete time systems, graphical computation of convolution, properties of convolution, properties of convolution, recursive and non recursive discrete - time systems with examples.
Linear time invariant system, implementation of discrete time systems, direct from - I and direct from - II, circular convolution and correlation, cross correlation, Linear convolution : Overlap save and add method.
The Discrete Fourier Transform (DFT) and its inverse, properties, radix-2 Fast Fourier transform (FFT), Decimation in time (DIT), decimation in frequency (DIF), computation of IDFT by direct DFT, Computation of complexity, computation of circular and linear convolution by DFT method.
cvraman.org /cs_6_5.htm   (260 words)

  
 Computer Science   (Site not responding. Last check: 2007-11-05)
He is primarily interested in computer architecture, systolic arrays, computer networks and performance evaluation of distributed systems
His current research interests are Computer Networks, packet scheduling in, and performance of ATM networks, special purpose VLSI arrays, cache coherence protocols for multiprocessors.
(With A. Elnaggar) "An Efficient Algorithm for Multidimensional Convolution", Proceedings of ICASSP2000, Istanbul, Turkey, June 5-9 2000.
www.cs.yorku.ca /people/details/aboelaze.html   (114 words)

  
 Computer Science CS435
This assignment covers convolution, transfer functions and histogram equalization.
This assignment covers convolution, radiometric processing, spatial filtering, and structuring elements.
Interpolation: Nearest neighbour, linear, cubic convolution, sinc function, and weighted and truncated sinc function interpolation.
www.ugrad.cs.ubc.ca /~cs435   (884 words)

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