Don Lancaster's
Cubic
Splines
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Cubic  Spline  Solutions
The Math Behind Cubic Splines
Using Cubic Splines
Cubic Spline Through Four Points
Legrange 4 Point Solution Demo
Legrange 4 Point Solution Software
Legrange Tutorial #2
Legrange Tutorial #1
Wikipedia Legrange Intro
Cubic Spline Length and Subdivision
Cubic Spline Minimum Point Distance
Length of a Bezier Curve
Circle or Ellipse Approximation
Cubic Spline Catenary Approximation
Cubic Spline Basis Functions
Hyperbolic Spline Curve Fitting
Some Older Cubic Spline Math
Bezier Curve thru Fuzzy Data!
Bezier Surface Graphics and Text
Older Cubic Spline Library

Bezier Cubic Splines are an excellent and preferred method to draw the smooth continuous curves often found in typography, CAD/CAM, and graphics in general.

Among their many advantages is a very sparse data set allowing a mere eight values ( or four x,y points ) to completely define a full and carefully controlled and device independent curve. .

Spline  Historical Archive
Recursive Midpoint Rule
Basis Function Lookup Table
Approximation of a Circular Arc I
Approximation of a Circular Arc II
Fitting Points to a Bezier Curve
Fast Bezier Curve Evaluation
Connecting Two Bezier Curves
Fitting Three Points to a Parabola
Alternate View of a Bezier Curve
Bezier Curve Sinewave Approximation
Accuracy of PostScript Circles
Real Length of a Bezier Curve
Bezier Curve Drawing Algorithms
Bezier Curve Book Review
Cubic Spline Books
Older Cubic Spline Library

Avuncular  Sleezoids
Original Example
Sleezoid2a .pdf demo
Sleezoid2a .psl source
Sleezoid2b .pdf demo
Sleezoid2b .psl source
Sleezoid2c group. pdf demo
Sleezoid2c .psl source
Sleezoid2d .pdf demo
Sleezoid2d .psl source
Sleezoid2e group .pdf demo
Sleezoid2e .psl source

Avuncular Sleezoids are an artsy-crafty cutsey-poo demo and use of Bezier Cubic Splines. You create two nearby splines and then draw close enough straight lines between them to approximate a smooth surface. You then continuously increment the hue to create partial to full rainbows from end to end.

These examples are mostly random, but you can easily adjust the splines to rotate or align to gain specific effects.


Some Graphic Resources
Nonlinear Graphic Transforms
Pixel Interpolation Algorithms
Bitmap File Format
Image Post Processing Tools
Gonzo Sourcecode
Gonzo Utilities
Fun With Fields
More Fun With Fields
Scribbling in PostScript
Array to Image Conversion
Sneaky "Up a Brick Wall" demo
Sneaky"Up a Brick Wall" sourcecode
Tuna Can Transform
Spherical Transform
PostScript SVG Generator

 

Weird & Strange Stuff
Meowwrr Puss Demo
Meowwrrr Puss Sourcecode
Poison Ivy in a Spray Can Demo
Poison Ivy in a Spray Can Sourcecode
Sirpinski Triangle Demo
Sirpinski Triangle Sourcecode
Marbelous Stacks of Distorted Pancakes
Fractal Fern Demo
Fractal Fern Sourcecode
Mitzi's Yuppy Fare Demo
Mitzi's Yuppy Fare Sourcecode
2D Perspective Cube Demo
2D Perspective Cube Sourcecode
Rope-a-Dope Demo
Rope-a-Dope Sourcecode
Fibonacci Sunflowers
The Ultimate Bagel Demo
The Ultimate Bagel Demo Sourcecode
The Gambler's Ruin
New Mexico Ports of Entry
Microwave Smith Chart
PostScript Beginner Stuff
Enameled Dealing with Four Paws & Groundswill
Lorenz Attractor Demo
Lorenz Attractor Sourcecode
Spiral Thingy Demo
Spiral Thingy Sourcecode


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