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    <p>So, as i needed a Polygon/Interpolation from a Curved Path myself, i might have a solution for your problem as well: </p> <p>The two 'Public' Functions:</p> <p><code>CGPathRef CGPathCreatePolygonPath(CGPathRef path, int quality);</code></p> <p>Creates an Path with only Line-Elements, quality is the number of segments a curve is split into</p> <p><code>BOOL CGPathContainsPointInterpolated(CGPathRef path, const CGAffineTransform *m, CGPoint point, bool eoFill, int quality);</code></p> <p>Does CGPathContainsPoint and Interpolation in one step, quality is again the number of segments a curve is split into.</p> <p>Here is the implementation.</p> <pre><code>typedef struct { CGMutablePathRef path; int quality; } InterpolationInfo; static inline float cubeInterp(float t, float p0, float p1, float p2, float p3) { return powf(1-t, 3)*p0 + 3*powf(1-t, 2)*t*p1 + 3*(1-t)*powf(t, 2)*p2 + powf(t, 3)*p3; } static void pointsForCubeCurve(CGPoint cp0, CGPoint cp1, CGPoint cp2, CGPoint ep, CGPoint *buffer, int numberPoints) { for (int i = 0; i&lt;numberPoints; i++) { float t = (i+1)/(float)numberPoints; buffer[i] = CGPointMake(cubeInterp(t, cp0.x, cp1.x, cp2.x, ep.x), cubeInterp(t, cp0.y, cp1.y, cp2.y, ep.y)); } } static inline float quadInterp(float t, float p0, float p1, float p2) { return powf(1-t, 2)*p0 + 2*(1-t)*t*p1 + powf(t, 2)*p2; } static void pointsForQuadCurve(CGPoint cp0, CGPoint cp, CGPoint ep, CGPoint *buffer, int numberPoints) { for (int i = 0; i&lt;numberPoints; i++) { float t = (i+1)/(float)numberPoints; buffer[i] = CGPointMake(quadInterp(t, cp0.x, cp.x, ep.x), quadInterp(t, cp0.x, cp.x, ep.x)); } } static void CGPathElementConvertToPolygon(void *info, const CGPathElement *element) { InterpolationInfo *interpInfo = info; switch (element-&gt;type) { case kCGPathElementMoveToPoint: CGPathMoveToPoint(interpInfo-&gt;path, NULL, element-&gt;points[0].x, element-&gt;points[0].y); break; case kCGPathElementAddLineToPoint: CGPathAddLineToPoint(interpInfo-&gt;path, NULL, element-&gt;points[0].x, element-&gt;points[0].y); break; case kCGPathElementAddQuadCurveToPoint: { int nr = interpInfo-&gt;quality; CGPoint buffer[nr]; pointsForQuadCurve(CGPathGetCurrentPoint(interpInfo-&gt;path), element-&gt;points[0], element-&gt;points[1], buffer, nr); for (int i = 0; i&lt;nr; i++) { CGPathAddLineToPoint(interpInfo-&gt;path, NULL, buffer[i].x, buffer[i].y); } break; } case kCGPathElementAddCurveToPoint: { int nr = interpInfo-&gt;quality; CGPoint buffer[nr]; pointsForCubeCurve(CGPathGetCurrentPoint(interpInfo-&gt;path), element-&gt;points[0], element-&gt;points[1], element-&gt;points[2], buffer, nr); for (int i = 0; i&lt;nr; i++) { CGPathAddLineToPoint(interpInfo-&gt;path, NULL, buffer[i].x, buffer[i].y); } break; } case kCGPathElementCloseSubpath: CGPathCloseSubpath(interpInfo-&gt;path); break; default: break; } } static CGPathRef CGPathCreatePolygonPath(CGPathRef path, int quality) { CGMutablePathRef newPath = CGPathCreateMutable(); InterpolationInfo info; info.path = newPath; info.quality = quality; CGPathApply(path, &amp;info, CGPathElementConvertToPolygon); return newPath; } static BOOL CGPathContainsPointInterpolated(CGPathRef path, const CGAffineTransform *m, CGPoint point, bool eoFill, int quality) { CGPathRef polygon = CGPathCreatePolygonPath(path, quality); BOOL returnValue = CGPathContainsPoint(polygon, m, point, eoFill); CGPathRelease(polygon); return returnValue; } </code></pre>
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      1. USThomas Clemensen
 

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