Don  Lancaster's Guru's Lair Third  Party   Library
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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.

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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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