Category Archives: curve-fitting

ensmoothening scribbles

Posted on Sunday, 2015 December 06 by Anton

Presented for your consideration: the somewhat disappointing results of an experiment in using piecewise polynomial spirals, of varying degrees of continuity, to fit the Takana — disappointing in that few if any of the curves are as pretty as I … Continue reading →

Posted in curve-fitting | 4 Comments

naming is hard

Posted on Saturday, 2014 May 10 by Anton

I often have trouble giving meaningful concise names to variables in the programs I write, perhaps because, until I reach for the keyboard, my thinking is largely nonverbal. I suspect that it would be less of a problem for someone … Continue reading →

Posted in curve-fitting, neep-neep | 4 Comments

relax

Posted on Tuesday, 2014 April 01 by Anton

This curve-fitting thingy is one of several projects on which I’ve made progress in rare fits over several years. It ran into two big snags. I haven’t found how to determine which gridpoints are within the pen-width of a blending … Continue reading →

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it’s all connected

Posted on Saturday, 2013 August 31 by Anton

My old calculus book gives a formula for the curvature of a parametric arc in the plane — that is, an arc defined by two functions (x(t),y(t)) of one variable. For thirty years I didn’t think about the derivation of … Continue reading →

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blending curves

Posted on Sunday, 2011 July 10 by Anton

I made some progress on an old project: to make outline fonts based on some favorite old bitmap fonts, by automatic fitting of smooth curves to the sequences of dots. (The image above is in Scalable Vector Graphic format. If … Continue reading →

Posted in curve-fitting | 6 Comments

toward a graceful imitation of the crude

Posted on Friday, 2010 October 15 by Anton

I’ve long had an idea to design “outline” typefaces which, at appropriate low resolution, would mimic certain bitmap fonts that have sentimental resonance. The orange discs are the original dots, of course. The blue arcs are least-squares fits (linear, quadratic) … Continue reading →

Posted in curve-fitting | Tagged font, Plato IV | 3 Comments

Takana go goth

Posted on Sunday, 2008 October 12 by Anton

See Takana. The 306 figures shown there can be reduced to 45 by rotation and reflection. I fitted a polynomial curve to each partial path, and superimposed them.