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  • efg's Algorithms Page
    Bibliographies http compgeom cs uiuc edu jeffe compgeom biblios html Graph Algorithms The Complete Collection of Algorithm Animations Graph www cs hope edu alganim ccaa graph html The Generic Graph Component Library As good as it is the C Standard Template Library doesn t address every problem domain Consequently our authors implemented the Generic Graph Component Library GGCL for use with sparse matrix ordering algorithms for scientific computing Additional resources include ggcl txt listings and ggcl21 zip source code from Dr Dobb s Sept 2000 Graphics Algorithms efg s Graphics page Great Circles Introduction to the Great Circle Navigation Formulae www best com williams avform htm Intro Great Circle Navigation Formulae www best com williams avform htm GCF efg s UseNet Post about computing great circle distances Hashing Hash Functions and Block Ciphers http burtleburtle net bob hash index html Hashing Rehashed Dr Dobb s Journal www ddj com articles 1996 9604 9604b 9604b htm topic algorithms Secure Hash Standard SHS and Secure Hash Algorithm SHA 1 www itl nist gov fipspubs fip180 1 htm Huffman Although simple and often effective Huffman s compression algorithm requires a lot of memory for 16 bit Unicode text files and it doesn t adapt to varying conditions within the data Steven and Yoshua explain how they updated Huffman s classic technique Additional resources include aa108 txt listings and aa108 zip source code Dr Dobb s Journal October 1998 www ddj com articles 1998 9810 9810toc htm Image Processing Algorithms efg s Image Processing Algorithms Reference Library page Interpolation Bilinear Interpolation Use linear interpolation along the top and bottom horizontal lines to determine z A and z B z A 1 f z x i y j f z x i 1 y j z B 1 f z x i y j 1 f z x i 1 y j 1 Use linear interpolation along the vertical line between z A and z B to determine z x y z x y 1 g z A g z B Or z x y 1 f 1 g z x i y j f 1 g z x i 1 y j 1 f g z x i y j 1 f g z x i 1 y j 1 Inverse Inverse and n th roots of large numbers http numbers computation free fr Constants Algorithms inverse html Koch Snowflake efg s UseNet Post about creating Koch snowflake efg s von Koch Curve Lab Report Links www iversonsoftware com tabularium programming algorithms index asp area w Mathematics efg s Math Reference Library Monte Carlo Monte Carlo Methods A championship level bridge program April 2000 Dr Dobb s Journal Neural Networks 9 Simple Classifiers and Neural Networks http cgm cs mcgill ca godfried teaching pr web html Neural Networks for Pattern Recognition www ncrg aston ac uk NNPR book home page Newton s Method http numbers computation free fr Constants Algorithms newton html Parallel www cs hope edu alganim ccaa parallel html Paths Shortest Paths

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  • efg's Color Reference Library -- General Color Info
    Color Concepts and Names Byrne97B Section II Crayola Crayons Color Names Crayola Crayon Chronology www crayola com colorcensus history chronology cfm The 216 Color Webmaster s Palette interactive javascript www visibone com colorlab Colors blue Why is the sky blue http science howstuffworks com nature climate weather atmospheric sky htm http www sky watch com articles skyblue html Why is the sky blue www realcolorwheel com sky htm brown Brown can only be produced by a yellow color surrounded by brighter areas We perceive something as brown instead of yellow when we think its reflectivity is very low In a sense brown is a physiological color Fortner97 p 75 C James Bartleson Brown Color Research and Application Vol 1 No 4 Winter 1976 pp 181 191 non spectral www yorku ca eye nonspect htm pink Desaturated color purple Not a spectral color The straight line connecting blue and red on a chromaticity chart is known as the Line of Purples Where s Purple http casa colorado edu ajsh colour rainbow html sky blue pink Sky Blue Pink by R W G Hunt Color Research and Application Vol 1 No 1 Spring 1976 pp 11 16 Companies GretagMacbeth www gretagmacbeth com Find a PANTONE color http www pantone com pages pantone colorfinder aspx Solux supplier of specialized daylight sources wherever color is an issue and natural lighting is required www solux net X rite s Ask a Color Expert http www xrite com services contact aspx Contrast Simultaneous Contrast http webexhibits org colorart contrast html Dyes Database of manufacturers producing Acid Basic Direct Disperse Mordant Reactive Vat Dyes and Pigments for application to Textiles Leather Plastics Paper and more Colorants Dyes Nassau98 Chapter 11 Education Color Education Page www solux net edu1 htm Fall Colors Fall Color Pictures http dendro cnre vt edu dendrology fall biglist frame cfm FAQs Frequently Asked Questions Charles Poynton s Gamma FAQ and Color FAQ www poynton com Food Color Luis Almela and Jose A Fernández López Measuring the Color of Table Grapes Color Research and Application Vol 21 No 1 Feb 1996 pp 50 54 Four Color Theorem Graph theory problem See Mathematics page Gloss Edul N Dalal and Kristen M Natale The Effect of Gloss on Color Color Research and Application Vol 24 No 5 Oct 1999 pp 369 376 Harmony Color Harmonies www easyrgb com harmonies php Color Harmony www speedgraphics net color harmony htm Color Wheel Pro is a unique software tool that allows you to create harmonious color schemes and preview them on real world examples www color wheel pro com History History of Colored Ores www realcolorwheel com 1color htm Tribes 20mined Dated history of artists and pigments dated color theories techniques of the past past color theories www realcolorwheel com 1artists htm Information Envisioning Information Chapter 5 Color and Information pp 81 95 Why Should Engineers and Scientists Be Worried About Color discusses problems with rainbow colormap nominal ordinal interval ratio data hue is not a good dimension for

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  • efg's Graphics Page
    the triangle if s 0 t 0 and s t 1 Then choose z 1 s t z0 s z1 t z2 Point left right of line See Orientation at www cs cmu edu quake robust html Projection Foley96 Section 6 1 pp 230 237 Radiosity Radiosity Bibliography Global Illumination Bibliographies www helios32 com resources htm Radiosity Page http www 2 cs cmu edu radiosity Ray Tracing Ray Tracing News Guide www acm org tog resources RTNews html Ray Tracing Bibliography www acm org tog resources bib Set of basic test images for ray tracing algorithms www acm org tog resources SPD overview html Rendering Illumination and Shading Foley96 Chapter 16 pp 721 814 Lights Camera Action A guide to The Fundamental Maths And Principles Of Rendering http exaflop org docs lca ind html Light Sourced Lambert Shading http exaflop org docs waynelight ind html Rendering Algorithms http graphics stanford edu projects rendering Rendering http local wasp uwa edu au pbourke miscellaneous Volume Rendering http graphics stanford edu projects volume Rotation 2D Foley96 pp 203 206 3D Foley96 pp 213 216 comp graphics algorithms FAQ 1 01 5 01 www exaflop org docs cgafaq Rotation using the three Eulerian angles Practical Handbook on Image Processing for Scientific Applications p 126 128 efg s Lab Report about Math and Delphi Example of Image Rotation Scaling 2D Foley96 pp 202 205 206 3D Foley96 pp 213 216 Scan Conversion Circles Foley96 Section 3 3 pp 81 87 Ellipses Foley96 Section 3 4 pp 88 90 Lines Bresenham s algorithm Basic Incremental Algorithm Midpoint Line Algorithm Bresenham Foley96 Section 3 2 pp 73 80 Sprites www hornet org code effects sprites Star Fields www hornet org code effects stars Sub Pixel Accuracy www flipcode com documents wwh1 txt Terrain See Landscapes Textures Texture Mapping Mathematics www flipcode com documents texmap txt Texture Mapping and Image Warping Bibliography www cs cmu edu afs cs project classes ph 862 95 www notes tex ref Texture Mapping as a Fundamental Drawing Primitive www sgi com grafica texmap index html Texture Land Abnormal Textures Index www sai msu su megera textures aindex html Spherical Texture Mapping www hornet org code effects globe Texture and Color http paulbourke net texture colour Translation 2D Foley96 pp 201 202 205 3D Foley96 pp 213 216 Tunnel www hornet org code effects tunnel Viewing Transformation Specifying an arbitrary 3D View Foley96 pp 237 242 3D Transformations and Perspective Newman and Sproull Principles of Interactive Computer Graphics McGraw Hill 1973 Chapter 22 pp 333 354 Visibility Visible Surface Determination Foley96 Chapter 15 pp 649 720 Hans Bernhard Broeker s pseudocode from UseNet Post 15 Sep 99 to comp graphics algorithms for each edge for each polygon if edge is partly obscured by polygon remove the obscured part s of the edge draw remaining part s of the edge comp graphics algorithms FAQ Section 2 05 Hidden Surface Test www exaflop org docs cgafaq Hidden Surface Removal www flipcode com portal issue06 shtml

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  • efg's Image Processing Page
    and Graphics Links http cgm cs mcgill ca godfried teaching pr web html Annotated Computer Vision Bibliography http iris usc edu Vision Notes bibliography contents html http iris usc edu Vision Notes rosenfeld contents html Lawrence Berkeley National Lab Computer Vision and Robotics Applications http www itg lbl gov ITG hm pg docs VISION vision html CVonline by University of Edinburgh The Evolving Distributed Non Proprietary On Line Compendium of Computer Vision www dai ed ac uk CVonline Vision Systems Courseware www cs cf ac uk Dave Vision lecture Vision lecture caller html Dictionary of Terms in Human and Animal Vision http cns web bu edu pub laliden WWW Visionary Visionary html Metrology based on Computer Vision www cranfield ac uk sme amac research metrology metrology html Machine Vision for Textiles etc www cs qub ac uk J Campbell myweb book mvtex html Visual Inspection of Lumber www ee oulu fi olli Projects Lumber Grading html Digital Photography Digital Photography Scanning and Image Processing www dbusch com scanners scanners html Making fine prints in your digital darkroom from negatives or slides Part 1 Getting started www normankoren com makingfineprints html Part 2 Scanning www normankoren com makingfineprints2 html Part 3 Image editing www normankoren com makingfineprints3 html Educational Resources Universities Links to Image Process On Line Courses Tutorials http ipml ee duth gr papamark Center for Image Processing in Education www cipe com Mathematical Experiences through Image Processing University of Washington www cs washington edu research metip metip html MIT AI Lab Projects and Research Groups Robotics and Machine Vision www ai mit edu projects INRIA France Research Projects Human Computer Interaction Image Processing Data Management Knowledge Systems www inria fr Themes Theme3 eng html Publications of Carsten Steger http www9 informatik tu muenchen de people steger publications html FAQs Edmund Industrial Optics FAQ on Electronic Imaging www edmundoptics com techsup imaging faq imaging cfm comp dsp FAQ www bdti com faq dsp faq htm Robotics FAQ www frc ri cmu edu robotics faq comp graphics algorithms FAQ Section 3 2D Image Pixel Computations www exaflop org docs cgafaq Astronomical Image Processing System FAQ www cv nrao edu aips aips faq html Satellite Imagery FAQ www ceos noaa gov faqsat html Color FAQs see efg s Color Reference Library Image Physics www dai ed ac uk CVonline physics htm Image Processing Analysis Manipulation Application Reports http www soft imaging de eng infodesk downloads apprpt e php Journals Biophotonics International www biophotonics mag com Europhotonics www europhotonics com Image analySIS Magazine www soft imaging de eng infodesk magazine m mag e php Imaging Notes www imagingnotes com Archive www imagingnotes com archive html Microscopy and Analysis www microscopy analysis com Pattern Analysis and Applications www dcs ex ac uk paa Photonics Spectra www photonics com Sensors www sensorsmag com SPIE Journals Online Society of Photo Optical Instrumentation Engineers www spie org web journals online home html Vision Systems Design www vision systems design com Starting in early 1999 the articles can

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  • efg's Mathematics Page
    utep edu sosmath trig trig html C Numerical Methods Also see www numerical methods com NIST Guide to Available Mathematical Software ACM Collected Algorithms from Transactions on Mathematical Software Nearly 40 years of ACM publications on mathematical algorithms GZ file Format http www acm org calgo contents ASCII Format http www netlib org toms Algorithms for High Precision Finite Differences Dr Dobb s Journal May 1998 pp 52 58 Approximation Series Approximation Techniques http perso wanadoo fr jean pierre moreau c series html Complex Roots http perso wanadoo fr jean pierre moreau c complex html Electronic Library eLib for Mathematical Software http elib zib de GAMS Guide to Available Mathematical Software U S National Institute of Standards and Technology NIST A cross index and virtual repository of mathematical and statistical software components for use in computational science and engineering http math nist gov Intel Math Kernel Library The Intel Math Kernel Library provides developers of scientific and engineering software with a set of linear algebra the Basic Linear Algebra Subroutines BLAS and fast Fourier transform functions as static and dynamic libraries for the Windows NT and Windows 95 operating systems http developer intel com software products mkl index htm MAGIC My Alternate Graphics and Image Code by Dave Eberly Includes several programs about numerical methods including eigensystems integration ordinary differential equations root finders minimizers linear system solvers and special functions www magic software com Matrices http perso wanadoo fr jean pierre moreau c matrices html MIT Open Courseware Electrical Engineering and Computer Science including classes such as Numerical Methods of Applied Mathematics Numerical Methods for Partial Differential Equations Netlib Repository Collection of mathematical software papers and databases www netlib org Netlib Master Index www netlib org master expanded liblist html Numerical Analysis FAQ www mathcom com corpdir techinfo mdir scifaq index html Numerical Recipes Book Home Page www nr com Online PDF files www library cornell edu nr bookcpdf html Roots Roots of a Real Function http perso wanadoo fr jean pierre moreau c roots html Scilab Scilab is a scientific software package for numerical computations in a user friendly environment http www rocq inria fr scilab Techniques for Scientific C www extreme indiana edu tveldhui papers techniques Template Numerical Toolkit The Template Numerical Toolkit is a collection of mathematical libraries for numeric computation in C Its fundamental classes include vectors matrices and multidimensional arrays http math nist gov tnt D Functions Also see efg s Delphi Math Functions Pages Wolfram s Functions Site Ackermann http pw1 netcom com hjsmith Ackerman html Approximations Functional Approximations http perso wanadoo fr jean pierre moreau c function html Bessel Functions Bessel Programs http perso wanadoo fr jean pierre moreau c bessel html How to Program http www netlib org cephes bessel shar Bessel Function http www 2dcurves com gamma gammabs html Symbolic and Numerical Computation on Bessel Functions of Complex Argument and Large Magnitude http www cs engr uky edu jzhang pub BESSEL Symbolic html Complex www math utep edu sosmath complex complex html The Scientist and Engineer s Guide to Digital Signal Processing Book Home Page www dspguide com pdfbook htm including PDF files Chapter 30 Complex Numbers Error Function Complex Error Function http users bigpond net au amiller NSWC dcerf f90 Exponents www sisweb com math algebra exponents htm gamma Complex Gamma Function http users bigpond net au amiller NSWC cgamma f90 www math utep edu sosmath calculus improper gamma gamma html www terravista pt FerNoronha 1828 fgamma e htm www sisweb com math integrals more gammafun htm with graph Linear Algebra www math utep edu sosmath matrix matrix html Logarithms www math utep edu sosmath algebra logs log1 log1 html Special Functions www sisweb com math integrals specialfuns htm Special functions in the NSWC Math library including in particular Bessel Elliptic Fresnel Integral and many other functions In many cases the single precision version is accurate to about 13 14 decimals while the double precision version is accurate to 25 27 decimals They may be useful in double precision and quadruple precision respectively where speed is important and the full accuaracy of these precisions is not needed http users bigpond net au amiller NSWC specfunc zip Special functions Log Gamma Gamma Incomplete Gamma both series form and continued fraction form error function complementary error function modified Bessel functions of order 0 and 1 www magic software com nu func htm Trigonometry www math utep edu sosmath trig trig html www sisweb com math trig identities htm Books about Mathematical Functions An Atlas of Functions by Spanier and Oldham Hemisphere Publishing 1987 CRC Handbook of Mathematical Curves and Surfaces CRC Press 1990 out of print CRC Standard Mathematical Tables CRC Press any version Handbook of Mathematical Functions by Abramowitz and Stegun Dover Publications 1972 Numerical Recipes in C The Art of Scientific Computing Second Edition William H Press et al Cambridge University Press 1992 Also available in Pascal FORTRAN and Basic programming languages Special Functions Their Applications Lebedev Dover Publications 1972 Tables of Functions Jahnke and Emde Dover Publications 1945 E Fourier Analysis FFTs Arbitrary N FFT http hjem get2net dk jjn fft htm Books Chapter 5 Processing Images in Frequency Space The Image Processing Handbook Complex Fast Fourier Transform The Scientist and Engineer s Guide to Digital Signal Processing www dspguide com pdfbook htm Chapter 31 The Complex Fourier Transform Cross Correlation sci image processing post by Chris Russ 29 Sept 99 Cross correlation in the Fourier domain is really the same as convolution with a 180 degree rotated pattern in the spatial domain If you re looking for speed and that is the reason you re interested in an FFT based implementation of cross correlation you may want to consider this equivalence A small spatial convolution say under 13x13 is less numerically intensive and usually faster than two forward FT s a complex multiplication with the phase reversed and an inverse FT Fast Fourier Transform Code and Information www fftw org links html Fast Fourier Transform Algorithm www cs

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  • efg's Science and Engineering Page
    Synthesis Program Compute Values of Earth s Magnetic Field www ngdc noaa gov cgi bin seg gmag fldsnth1 pl MIT Open Courseware Earth Atmospheric and Planetary Sciences Plate Tectonics The Dynamic Earth The Story of Plate Tectonics http pubs usgs gov publications text dynamic html Society for Underwater Exploration www underwaterdiscovery org Space Weather www spaceweather com Spectroscopy of Rock and Minerals and Priniciples of Spectroscopy http speclab cr usgs gov PAPERS refl mrs refl4 html Volcanoes VolcanoCams Around the World http vulcan wr usgs gov Photo volcano cams html Volcano World http volcano und nodak edu Weather efg s Weather Resources D Engineering Bridges Bridge Builder Magazine www bridgebuildermagazine com Golden Gate Bridge www goldengate org Energy Geothermal Energy http rredc nrel gov geothermal Solar Energy http rredc nrel gov solar Wind Energy http rredc nrel gov wind Flights of Inspiration How airplanes fly and how we humans came to build them www fi edu flights Global Engineering Documents http global ihs com MIT Open Courseware Chemical engineering Civil and Environmental Engineering Electrical Engineering and Computer Science Materials Science and Engineering Mechanical Engineering Nuclear Engineering Ocean Engineering NSF s Engineering News National Science Foundation www eng nsf gov engnews Patents US Patent and Trademark Office www uspto gov patft The Intellectual Property Network IPN lets you search and view patent documents from the U S and Europe as well as patent applications published by the World Intellectual Property Organization WIPO www patents ibm com Radio FCC Radio Database www radiostation com Robots Xavier the Robot www cs cmu edu People Xavier Personal Robotics Home Page www personalrobotics net St Louis Arch Architecture http www nps gov jeff planyourvisit architecture htm Catenary Curve Equation www nps gov jeff planyourvisit mathematical equation htm E General and Miscellaneous All Science http brian62 homestead com index html Amara s Science Links www amara com science science html Cool Science Sites Cool Science Archive www nap edu csarc html Discovery Channel www discovery com Dr Science www drscience com Fred s Wonderful World of Science http www personal umich edu mrniell Forensic Science National Center for Forensic Science http ncfs ucf edu Fortran2000 www fortran2000 com Junk Science Home Page www junkscience com Mad Scientist Network www madsci org Miscellaneous science related material Garbo Shareware Library http garbo uwasa fi pc science html http garbo uwasa fi windows science html Museum of the History of Science Oxford University www mhs ox ac uk Sci Philately A Selective History of Science on Stamps http ublib buffalo edu libraries units sel exhibits stamps Science BBC Science www bbc co uk science Science and Math http hyperarchive lcs mit edu HyperArchive Abstracts sci HyperArchive html Science Education Links and Freebies www darvill clara net ajdhome htm Science Explained www synapse ndo co uk science index html Science Hobbyist www eskimo com billb www amasci com unew html Scientific Data Format Information FAQ www cv nrao edu fits traffic scidataformats faq html Significant Figures Significant Figures and Rounding

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  • efg's Simulation and Modeling Page
    www radix net bziegler Delphi heat zip TMoon Component Shows phases of the moon Delphi www hoerstemeier com delphi htm moon Water Water Effect Explained www gamedev net reference programming features water www gamedev net reference programming graphics3d article915 asp The authoratative source on the water effect Includes a description of the physics behind the effect and the simplifications done to make the routine run quickly Assembler Pascal real mode ftp us hornet org pub demos code effects water hq water zip 2D Water Effects www darwin3d com gdm1999 htm gdm1299 2D Water http freespace virgin net hugo elias graphics x water htm Water www hornet org code effects water Volumetric Fog www flipcode com documents fog html Weather Simulating Severe Weather Dr Dobb s Journal March 1999 pp 18 28 Wind http freespace virgin net hugo elias models m wind htm B Engineering Models Also see Science and Engineering Page Golden Gate Bridge www goldengate org Nuclear Power Plant Java Demo Program http java sun com applets archive beta NuclearPlant index html Control The Nuclear Power Plant www ida liu se her npp demo html St Louis Arch History and Architecture www nps gov jeff arch ov htm Catenary Curve Equation www nps gov jeff equation htm Transportation Traffic www horstmann com applets RoadApplet RoadApplet html Train Simulator www trainbrain com index html Wastewater Treatment www syscon uu se Education MSc Courses WastWatTrm html C Modeling in Medicine Biomechanical data sources International Society of Bioimechanics ISB Data Sources http isb ri ccf org data Center for Human Modeling Simulation The overall goal of the Center for Human Modeling and Simulation is the modeling and animation of human movement That central topic drives a number of related research interests covering a broad scope from image synthesis to natural language interfaces www cis upenn edu hms home html Modelling the Surface of the Human Cortex from MRI Volumetric Data http astronomy swin edu au pbourke modelling cortex impl html D Business Models Simulations Airport Simulator Simulate an airport landing and takeoff pattern The airport has 3 runways two primarily for landing and one mainly for takeoffs There are two arrival holding pattern queues for each of runways 1 2 and three departure queues one for each runway The queues are to be kept as close to the same size as possible www delphiforfun org Programs airportsim htm Theme Hospital Theme Hospital for Windows 95 lets you build and manage your very own hospital www softseek com Games Business Simulations Review 10642 index html E Modeling in Life Sciences Individual base models Individual based models are simulations based on the global consequences of local interactions of members of a population http www red3d com cwr ibm html F Visualization and Animation 3D Chapter 10 3D Image Visualization pp 617 688 image processing perspective The Image Processing Handbook Advanced Data Visualization and Exploration www cs sandia gov VIS Animation Lab www cc gatech edu gvu animation Animation html Human Movement Center for Human

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  • efg's Image Processing -- Rotate Pixels Lab Report
    are multiples of 90 degrees can be formed simply by manipulating subscripts with the Pixels property See the following table Rotation degrees counterclockwise Subscript Manipulation using Pixels 0 Out i j In i j 90 Out j Right i 1 In i j 180 Out Right i 1 Bottom j 1 In i j 270 Out Bottom j 1 i In i j Conclusions The Pixels property can be used

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