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This library shelf is mainly for contributions by other authors.        

Most library files require an Adobe Acrobat 4.0  plug in for online
viewing.  Offline, these may be accessed by an Acrobat Reader or
an eBook Reader or any other .pdf" accepting program.

   Some non-Adobe Acrobat info in NONACRO1.HTML
       A pair of email submissions that cover reading encrypted PDF
       files in Ghostscript and a third party source of PDF readers. Shown
        as received. Not responsible for content. View at your own risk.

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    Ken Shirriff: VCRPlus Codes.
     
Shows the six bit encoding and decoding of the VCRplus
       time and date codes. Tutorial text, figure, and sourcecode combined
        into single .pdf" file from November 1993 original.

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   Bicubic Interpolation tutorial from Michael Aramini
     A tutorial on the "best" nonadaptive and fairly computationally
     efficient means of resampling picture bitmaps. This is actually
     an offsite link.

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    Real Length of a Bezier Curve (!) BEZLENJF.PDF 
      
Jim Fitzsimmons tutorial shows how to use elliptic integrals to find
      the real length of a Bezier curve. For most apps, approximations
      will usually end up faster. Advanced math skills needed.

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   Jim Fitzsimons: CHAIN01.HTML
     
A Don Lancaster tutorial and Jim Fitzsimons math wonderment
     that explores binary chain codes,. Unique self-positioning sequences.
     Includes BASIC listing and chain codes for order 2 through 16.

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    Jim Fitzsimons: Magic Sinewave Higher Harmonics.
       
Just where do those square corners come from on a low harmonic
       waveform? Jim Fitzsimons analyzes the first 999 (!) harmonics
       of five typical 384 bit non-delta magic sinewaves.

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   Bezier curve recursive midpoint rule  MIDPOINT.PDF 
 
    Jim Fitzsimmons TEX tutorial shows how to approximate a Bezier
     curve
by successive midpoint line segments. This is also called the
     Casteljau
method using Bernshtein Polynomials.

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   Bezier curve through four points  BEZ4PTS.PDF 
     
Jim Fitzsimmons TEX tutorial shows how to fit a Bezier curve
     
through two end points and two intermediate points, all of which
     
are on the desired cubic polynomial curve.

Click here for a practical example of BEZ4PTS.PDF
Click here to reach the Cubic Spline library.

   Bezier approximation to circular arc  BEZARC1.PDF 
    
 Jim Fitzsimmons TEX tutorial shows how to use a Bezier curve
     
to approximate a circular arc while exactly meeting end points and
     end slopes
of the desired circular segment.

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   Fitting points to a bezier curve  BEZDIST.PDF 
    
 Jim Fitzsimmons TEX tutorial shows how to fit a Bezier curve
     
to a group of data points. Includes an iterative BASIC program and
     
several demo plots that do a least squares fit to multiple points.

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   Fast Bezier curve evaluation FASTBEZ.PDF 
    
 Jim Fitzsimmons TEX tutorial shows a rapid method of
    
generating a bezier curve. Includes TEX sourcecode that
    
shows one method of showing math equations.

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   Connecting two Bezier curves  BEZCONN.PDF 
    
 Jim Fitzsimmons TEX tutorial shows a way to connect two
     
adjacent Bezier curves and replace them with a new pair of
     
Bezier curves whose slope is identical at the common point.

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   An alternate view of a Bezier curver BEZIERU.PDF 
    
Jim Fitzsimmons TEX tutorial shows a "balanced" way of viewing
    
a Bezier curve. Instead of a "t" variable that goes from 0 to 1, a
    
"u" variable (u = 2t-1) is used, ranging from -1 to +1.

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   Bezier curve sinewave approximation  BEZSINE.PDF 
    
 Jim Fitzsimmons TEX tutorial shows an eight step approximation
     
to a full sinewave that uses Bezier cubic splines. Each spline curve fits
     
45 degrees and exactly matches value and slope at end points.

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   Accuracy of PostScript circles  BEZCIRC.PDF 
     
Jim Fitzsimmons TEX tutorial analyzes the errors involved in a
     
four curveto approximation to a PostScript circle. Worst case
     error is one pixel at 1200 DPI for a 230 point diameter circle. 

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