
	Where results make sense

Topic: Mathematical Contours

	Effect of Integrating Design Problems by Igor Verner and Sarah Maor in the Nexus Network Journal vol. 5 no. 2 (Autumn ...
		The research goal was to examine the effect of integrating architectural and structure problems in the mathematics course on the students' achievements and attitudes towards the role of mathematics in design.
		Through practical examination they checked the mathematical dependence of the two functions, so that the function of the forces was the derivative of the moments function, and the moments function is the indefinite integral of the forces function.
		Distances of the structure contour from the plot perimeter, required by a municipality are as follows: 5 m from the arc, and 4 m from the diameter of the semi-circle.
	www.emis.de /journals/NNJ/Didactics-VerMao.html (4295 words)

	Horizons Inc. \| Services
		It is the science and mathematics of photogrammetry and survey that seeks to eliminate these distortions and produce an accurate positional measurement of the terrain and features within the photography.
		Index contours are depicted with a heavier line style and annotated with elevation values.
		Contours are dashed in areas that are obscured due to vegetation or shadow in the photography to indicate that their accuracy may not meet the targeted standard.
	www.horizonsinc.com /photosurv.php (627 words)

	Tide - Wikipedia, the free encyclopedia
		The first well-documented mathematical explanation of tidal forces was given in 1687 by Isaac Newton in the Philosophiae Naturalis Principia Mathematica.
		Nautical charts display the "charted depth" of the water at specific locations and on contours.
		These depths are relative to "chart datum", which is the level of water at the lowest possible astronomical tide (tides may be lower or higher for meteorological reasons) and are therefore the minimum water depth possible during the tidal cycle.
	en.wikipedia.org /wiki/Tide (3516 words)

	Saint Thomas Aquinas
		The astronomer and the natural philosopher both conclude that the earth is round, but the astronomer does this through a mathematical middle that is abstracted from matter, whereas the natural philosopher considers a middle lodged in matter.
		Mathematical things, on the analogy of ‘concave’, do not have sensible matter in their definitions.
		The discussion of definition in effect bore on the middle terms of demonstrative syllogisms and the suggestion is that formally different modes of defining, with respect to removal from matter and motion, ground the formal difference between types of theoretical science.
	plato.stanford.edu /entries/aquinas (11428 words)

	Suggestive Contours
		Suggestive contours are distinct from creases and lines along ridges or valleys.
		While this implementation of suggestive contours can be used to make (what we think are) pretty pictures, as illustrated in our suggestive contour gallery, it can also be used to make some not-so-pretty ones.
		Finding suggestive contours requires the computation of first, second, and third "derivatives" of the surface geometry, and this computation is very sensitive to noise and under-tessellation.
	www.cs.princeton.edu /gfx/proj/sugcon (848 words)

	Annual report of Quantitative Image Analysis for year 2005
		Active contours are mathematical curves employed to represent contours of an object.
		Standard contours active parametric are well adapted to the follow-up of islolated objects, but do not manage to follow several objects when those come in contact, which constitutes a major limitation for the tracking of cells.
		In previous work, we had proposed a solution based on non-parametric coupled active contours (level-set), which helps to maintain separation between cells in contact but which is too complex from a computational point of view to be applied in routine to large sequences.
	www.pasteur.fr /recherche/RAR/RAR2005/Laiq-en.html (1164 words)

	Device and method for determining workpiece contours - Patent 4792889
		The present invention relates to a device and method for determining the contour of a workpiece by combining incomplete data sets to produce a representative of the workpiece contour, wherein the incomplete data sets represent portions of the workpiece contour.
		The present invention is directed to a device for obtaining the contour of a workpiece where geometric data is deposited in the form of incomplete data sets representative of respective sections of the workpiece contour, the data sets being combined with one another to generate the workpiece contour.
		The contour algorithm is used by the computer C to combine the geometric data according to combination rules.
	www.freepatentsonline.com /4792889.html (5567 words)

	"A Geometric Model for Active Contours in Image Processing" Citations
		Snakes, or active contours, are used extensively in computer vision and image processing applications, particularly to locate object boundaries, problems associated with initialization and poor convergence to boundary concavities, however, have limited their utility, This paper presents a new external force for active contours, largely solving both problems.
		The active contours are obtained as a gradient flow in a conformally Euclidean space defined by the image on which the object is to be detected.
		The resulting active contour model, in contrast to many other edge and region based models, is fully global in that the evolution of each curve depends at all times upon every pixel in the image and is directly coupled to the evolution of every other curve regardless of their mutual proximity.
	iacl.ece.jhu.edu /projects/gvf/gvf_cite/caselles_cite_abstract.html (14635 words)

	Find Intersection of Two Non-planar Surfaces
		The structure contours are not straight lines and the intersection is not a straight line, but in the most important respects, the two situations are the same.
		We might assume the structure contours on the fold were generated by extrapolating surface data, perhaps in conjunction with borehole information.
		Perhaps the contact between the intrusion and the contoured unit in the fold is mineralized, creating an economic reason to map the intersection.
	www.uwsp.edu /geo/projects/geoweb/participants/Dutch/STRUCTGE/SL37.HTM (1019 words)

	Project SkyMath
		The project is led by a Design Team of mathematicians, math educators, scientists, technology experts, and teachers; this group reflects the interdisciplinary nature of the program and its emphasis on the use of technology in a science/math school environment.
		One example of the richness of the mathematics involved in reading a temperature graph is given here in the story of Euclid's tour of the University, and an assessment profile is also provided.
		The mathematical techniques mastered by the students in the SkyMath module provide students with the ability to continue investigating the phenomenon of the world climate and its change.
	eo.ucar.edu /skymath (6062 words)

	Deformable Contours: Modeling, Extraction, Detection And Classification - Lai (ResearchIndex) (Site not responding. Last check: 2007-10-27)
		We begin by conducting a case study on regularization, formulation and initialization of the active contour models (snakes).
		Using minimax principle, we derive a regularization criterion whereby the values can be automatically and implicitly determined along the contour.
		Lai, "Deformable Contours: Modeling, Extraction, Detection and Classification, " P h.D. Thesis, Electrical and Computer Engineering Department, University of Wisconsin at Madison, August 1994.
	citeseer.ist.psu.edu /166681.html (918 words)

	CiteULike: From active contours to anisotropic diffusion: connections between basic PDE's in image processing (Site not responding. Last check: 2007-10-27)
		From active contours to anisotropic diffusion: connections between basic PDE's in image processing
		We present mathematical and qualitative relations between a number of partial differential equations frequently used in image processing and computer vision.
		We show for example that classical active contours introduced for object detection by Terzopoulos (1988) and colleagues are connected to anisotropic diffusion flows as those defined by Perona and Malik (1990).
	www.citeulike.org /user/pcoupe/article/788521 (256 words)

	New mathematical method provides better way to analyze noise
		They struck upon a mathematical method that reassigned a sound’s rate and frequency data into a set of points that they could make into a histogram — a visual, two-dimensional map of how a sound’s individual frequencies move in time.
		When they tested their technique against other sound-analysis programs, they found that it gave them a much greater ability to tease out the sound they were interested in from the noise that surrounded it.
		With this algorithm, you’d be able to pick out each one of its blades.” With this algorithm, researchers could one day give computers the same acuity as human ears, and give cochlear implants the power of 8,000 hair cells.
	www.physorg.com /news69001445.html (928 words)

	Find Trend And Plunge, Given Pitch
		We can solve the problem easily if we note that structure contours on a map are foreshortened views of the real thing.
		On the true set of contours, construct the pitching line as it appears on the dipping plane.
		The trend is just the strike of the bed (given by the structure contours) plus or minus angle XAB in the top diagram.
	www.uwgb.edu /DutchS/structge/sl35.htm (565 words)

	MapMakers Contours ActiveX Control
		MM Contours ActiveX Control is designed to visualize the data given in the random set of points defined by coordinates x and y, and value v.
		The MM Contours control is a powerful contouring and shading tool with built-in interpolation algorithm.
		This is a presentation of a sample mathematical function with equation: sin (7xy + 10x).
	mapmak.mecom.ru /emmcont.htm (438 words)

	Bibliography
		Motion estimation in image sequences using the deformation of apparent contours.
		Licentiate thesis, Centre for Mathematical Sciences, Lund Institute of Technology, Sweden, 2003.
		Master's thesis, Centre for Mathematical Sciences, Lund Institute of Technology, Sweden, 2003.
	www.maths.lth.se /matematiklth/vision/research2004/node24.html (1100 words)

	INI Programme GMR
		It was a subject of intense interest in the 1960’s and 1970’s when advances included the discovery of the Kerr solution, the study of fl holes and singularity theorems and the introduction of asymptopia as a framework for studying asymptotic properties, including gravitational radiation.
		In recent years there have been significant advances in our understanding of the topological, geometrical and PDE aspects of general relativity and progress is once again becoming rapid.
		The overall emphasis will be on mathematical results and global properties of solutions of the Einstein equations, but it is worth noting that there is a clear motivation from physics to deepen our understanding of general relativity, at a time when gravitational wave detectors around the world have started collecting data.
	www.newton.cam.ac.uk /programmes/GMR (460 words)

	Publications by the Algorithms Project
		All mathematical formul{\ae} in the ESF are computed, typeset and displayed without any human intervention.
		All mathematical formulæ in the ESF are computed, typeset and displayed without any human intervention.
		This is achieved by exploiting a collection of computer algebra algorithms in a systematic way, on top of a specially designed data structure for a class of special functions.
	algo.inria.fr /papers/bibgen/algobib.html (8861 words)

	About The Prairie School
		It means "hands-on" activities, from scientific and mathematical discoveries in our unique Exploratorium to creative artistic expressions in our glass-blowing lab.
		Built in 1965, the school overlooks the shores of Lake Michigan in Racine, Wisconsin.
		Surrounded by 22 acres of meadow, the graceful curves of our Wright-inspired buildings echo the contours of their surroundings and help us shape the contours of young minds.
	www.prairieschool.com /about (285 words)

	Contours - The Tecplot Newsletter
		Home > Showcase > Contours > Issue 42
		Contours is your one-stop source for Tecplot updates, news and information.
		See upcoming events and conferences (including Gold Sponsorship of the 2007 ANSYS U.S. Conference series), and read about our media coverage, product awards and more!.
	www.tecplot.com /showcase/contours/contours_main.htm (244 words)

	Selections from "Energy and Economic Myths" by Nicholas Georgescu-Roegen
		Malthus, as we know, was criticized primarily because he assumed that population and resources grow according to some simple mathematical laws.
		Its broad contours depend on the multiple asymmetries existing among the three sources of low entropy which together constitute mankind's dowry -- the free energy received from the sun, on the one hand, and the free energy and the ordered material structures stored in the bowels of the earth, on the other.
		The first asymmetry concerns the fact that the terrestrial component is a stock, whereas the solar one is a flow.
	www.dieoff.com /page148.htm (8592 words)

	gnuplot homepage (Site not responding. Last check: 2007-10-27)
		The software is copyrighted but freely distributed (i.e., you don't have to pay for it).
		It was originally intended as to allow scientists and students to visualize mathematical functions and data.
		Gnuplot supports many different types of output: interactive screen terminals (with mouse and hotkey functionality), direct output to pen plotters or modern printers (including postscript and many color devices), and output to many types of file (eps, fig, jpeg, LaTeX, metafont, pbm, pdf, png, postscript, svg,...) Gnuplot is easily extensible to include new devices.
	www.gnuplot.info (213 words)

	Fractal of the Day (FotD) by Jim Muth
		Then I studied the picture for a few minutes, and it suddenly dawned on me -- I was looking down on a contour map of Math Land.
		After a few seconds thought I found the name -- "Mathematical Contours".
		It takes over 1/2 hour to finish on a p200, making the download the obvious way to see the image.
	home.att.net /~Fractals_1/FotD_99-11-21.html (902 words)

	Bookpool: Active Contours: The Application of Techniques from Graphics, Vision, Control Theory and Statistics to Visual ...
		Active Contours deals with the analysis of moving images - a topic of growing importance within the computer graphics industry.
		In particular it is concerned with understanding, specifying and learning prior models of varying strength and applying them to dynamic contours.
		Its aim is to develop and analyse these modelling tools in depth and within a consistent framework.
	www.bookpool.com /sm/3540762175 (172 words)

	MSRI - VMath - Streaming Video and Media Downloads - Image Contours, PDE's and Anisotropic Diffusion (Site not responding. Last check: 2007-10-27)
		MSRI Workshop for Women in Mathematics: Introduction to Image Analysis
		Three basic mathematical approaches of image processing were described: 1) Transform/ multiscale methods including Fourier transform and wavelet transform.
		See more of our Streaming Videos on our main VMath - Streaming Video page.
	www.msri.org /communications/vmath/VMathVideos/VideoInfo/1843/show_video (250 words)

	Pax Neo-Tech (Site not responding. Last check: 2007-10-27)
		To sense the contours of such underminings, start with religion -- Islam’s Muslim religion: It is the world’s fastest growing major religion.
		Later in this decade, inorganic research chemist, Dr. Frank R. Wallace will construct his first Overlay Chart.
		He will organize and then integrate the vast amounts of raw physical, statistical, and mathematical information currently available for the chemical elements.
	www.neo-tech.com /pax-b1/c3.php (7330 words)

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