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<!DOCTYPE html> | |
<html> | |
<head> | |
<title>Curve Equalizer Help</title> | |
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> | |
<style type="text/css"> | |
table { | |
border-collapse: collapse; | |
} | |
th, td { | |
text-align: left; | |
vertical-align: top; | |
font-weight: normal; | |
padding: 0.3em 0.5em; | |
} | |
th { | |
border-bottom: 1px solid #000; | |
font-weight: bold; | |
} | |
td { | |
border-top: 1px solid #404040; | |
} | |
</style> | |
</head> | |
<body> | |
<h1>Curve Equalizer</h1> | |
<p>Curve Equalizer helps you quickly balance the Bézier handles of a curve, or adjust the curvature to a chosen amount.</p> | |
<h2>Interface</h2> | |
<p><img src="dialog.png" width="234" height="230" alt=""></p> | |
<p>Select the curve adjustment method.</p> | |
<table> | |
<tr> | |
<th>Method</th> | |
<th>Description</th> | |
</tr> | |
<tr> | |
<td>Circle</td> | |
<td>The result is similar to what FontLab Studio 5 does when you alt-shift-click a curve segment. If the triangle between the first and last point of the segment is rectangular with two 45° angles, the result will approximate a quarter circle.</td> | |
</tr> | |
<tr> | |
<td>Rule of thirds</td> | |
<td>The resulting handles and an imaginary line between the two handles will each be nearly equal in length.</td> | |
</tr> | |
<!--<tr> | |
<td>TT (experimental)</td> | |
<td>Change the curve so it is well suited for conversion to a quadratic (TrueType) Bézier curve. Don’t use this, the results are terrible at the moment.</td> | |
</tr>--> | |
<tr> | |
<td>Balance</td> | |
<td>The curvature is not changed, only the length of the handles is distributed evenly between the in- and outgoing handle. This is similar to the «Tunnifier» script by Eduardo Tunni.</td> | |
</tr> | |
<tr> | |
<td>Fixed</td> | |
<td>Select the desired curvature from the horizontal radio buttons. The first will result in the same curve as the «Circle» method. The other buttons gradually add more curvature.</td> | |
</tr> | |
<tr> | |
<td>Adjust</td> | |
<td>Change the curvature interactively using the slider. This is particularly useful if you want to finely tweak the curvature, while balancing the handles.</td> | |
</tr> | |
<tr> | |
<td>Hobby</td> | |
<td>Change the tension of the curves. This uses the spline algorithm by John D. Hobby, which is also used by Metafont to create harmonic curves.</td> | |
</tr> | |
</table> | |
<p>Click the «Equalize selected» button to apply the adjustment to the selected curves in the current glyph window.</p> | |
<p>Tip: you can make the window larger, this will give you longer sliders and thus more precision.</p> | |
<h2>Known Issues</h2> | |
<p>If the angle between the Bézier handles is less than 45°, or the handles are on different sides of the curve, the curvature can’t be changed. This is not a bug.</p> | |
<p>The modified curves preview is not visible while you hold the Preview keyboard shortcut.</p> | |
<h2>Geometry</h2> | |
<p>These are my notes from which I derived the trigonometry at work:</p> | |
<p><img src="geometry.jpg" width="370" height="305" alt=""></p> | |
<hr> | |
<p>Curve Equalizer is © 2013–2022 by Jens Kutilek.</p> | |
<p>The Hobby Spline code was sent in by Simon Egli with contributions by Juraj Sukop and Lasse Fister.</p> | |
</body> | |
</html> |