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Bézier Curves
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Ben Scheirman
March 02, 2018
Programming
1
5.2k
Bézier Curves
Presented at try! Swift Tokyo 2018
Ben Scheirman
March 02, 2018
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Transcript
Bézier Curves Ben Scheirman nsscreencast.com @subdigital
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let path = UIBezierPath() path.move(to: startPoint) path.addCurve(to: endPoint, controlPoint1: c1,
controlPoint2: c2) context.addPath(path.cgPath) context.strokePath()
Control points?!
Paul de Casteljau
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class BezierView : UIView { var startPoint: CGPoint? var endPoint:
CGPoint? var control1: CGPoint? var control2: CGPoint? ...
func drawPoint(_ context: CGContext, p: CGPoint, color: UIColor, radius: CGFloat)
{ color.setFill() context.addArc(center: p, radius: radius, startAngle: 0, endAngle: .pi * 2, clockwise: true) context.fillPath() }
Demo
class BezierView : UIView { var startPoint: CGPoint? var endPoint:
CGPoint? var control1: CGPoint? var control2: CGPoint? ...
class BezierView : UIView { var points: [CGPoint] ...
if points.count >= 2 { drawLinesBetween(context, points) }
func drawLinesBetween(_ context: CGContext, _ points: [CGPoint]) { }
func drawLinesBetween(_ context: CGContext, _ points: [CGPoint]) { points.first.flatMap {
context.move(to: $0) } points.dropFirst().forEach { context.addLine(to: $0 ) } context.setLineWidth(3) context.setLineDash(phase: 0, lengths: [2]) UIColor.lightGray.setStroke() context.strokePath() }
func drawLinesBetween(_ context: CGContext, _ points: [CGPoint]) { points.first.flatMap {
context.move(to: $0) } points.dropFirst().forEach { context.addLine(to: $0 ) } context.setLineWidth(3) context.setLineDash(phase: 0, lengths: [2]) UIColor.lightGray.setStroke() context.strokePath() }
func drawLinesBetween(_ context: CGContext, _ points: [CGPoint]) { points.first.flatMap {
context.move(to: $0) } points.dropFirst().forEach { context.addLine(to: $0 ) } context.setLineWidth(3) context.setLineDash(phase: 0, lengths: [2]) UIColor.lightGray.setStroke() context.strokePath() }
func drawLinesBetween(_ context: CGContext, _ points: [CGPoint]) { points.first.flatMap {
context.move(to: $0) } points.dropFirst().forEach { context.addLine(to: $0 ) } context.setLineWidth(3) context.setLineDash(phase: 0, lengths: [2]) UIColor.lightGray.setStroke() context.strokePath() if timeValue > 0 { interpolateBetween(context, points) } }
func interpolateBetween(_ context: CGContext, _ points: [CGPoint]) { guard points.count
>= 2 else { return } var interpolated: [CGPoint] = [] for i in 0 ..< points.count-1 { let p1 = points[i] let p2 = points[i+1] let t = p1.lerp(p2, t: timeValue) interpolated.append(t) drawPoint(context, p: t, color: .lightGray, radius: 6) } }
func interpolateBetween(_ context: CGContext, _ points: [CGPoint]) { guard points.count
>= 2 else { return } var interpolated: [CGPoint] = [] for i in 0 ..< points.count-1 { let p1 = points[i] let p2 = points[i+1] let t = p1.lerp(p2, t: timeValue) interpolated.append(t) drawPoint(context, p: t, color: .lightGray, radius: 6) } }
func interpolateBetween(_ context: CGContext, _ points: [CGPoint]) { guard points.count
>= 2 else { return } var interpolated: [CGPoint] = [] for i in 0 ..< points.count-1 { let p1 = points[i] let p2 = points[i+1] let t = p1.lerp(p2, t: timeValue) interpolated.append(t) drawPoint(context, p: t, color: .lightGray, radius: 6) } }
func interpolateBetween(_ context: CGContext, _ points: [CGPoint]) { guard points.count
>= 2 else { return } var interpolated: [CGPoint] = [] for i in 0 ..< points.count-1 { let p1 = points[i] let p2 = points[i+1] let t = p1.lerp(p2, t: timeValue) interpolated.append(t) drawPoint(context, p: t, color: .lightGray, radius: 6) } }
func interpolateBetween(_ context: CGContext, _ points: [CGPoint]) { guard points.count
>= 2 else { return } var interpolated: [CGPoint] = [] for i in 0 ..< points.count-1 { let p1 = points[i] let p2 = points[i+1] let t = p1.lerp(p2, t: timeValue) interpolated.append(t) drawPoint(context, p: t, color: .lightGray, radius: 6) } }
func interpolateBetween(_ context: CGContext, _ points: [CGPoint]) { guard points.count
>= 2 else { return } var interpolated: [CGPoint] = [] for i in 0 ..< points.count-1 { let p1 = points[i] let p2 = points[i+1] let t = p1.lerp(p2, t: timeValue) interpolated.append(t) drawPoint(context, p: t, color: .lightGray, radius: 6) } }
func interpolateBetween(_ context: CGContext, _ points: [CGPoint]) { guard points.count
>= 2 else { return } var interpolated: [CGPoint] = [] for i in 0 ..< points.count-1 { let p1 = points[i] let p2 = points[i+1] let t = p1.lerp(p2, t: timeValue) interpolated.append(t) drawPoint(context, p: t, color: .lightGray, radius: 6) } if interpolated.count >= 2 { drawLinesBetween(context, interpolated) } }
zip(sequence1, sequence2)
sequence1 Sequence2
sequence1 Sequence2 zip
sequence1 Sequence2 zip
sequence1 Sequence2 P1 P2 P3 P4 P5 P2 P3 P4
P5 zip
sequence1 Sequence2 P1 P2 P3 P4 P5 P2 P3 P4
P5 zip
func interpZip(points: [CGPoint]) -> (CGFloat) -> [CGPoint] { return {
t in let pairs = zip(points, points.dropFirst()) return pairs.map { pair in return lerp(pair.0, pair.1, t) } } }
func interpZip(points: [CGPoint]) -> (CGFloat) -> [CGPoint] { return {
t in let pairs = zip(points, points.dropFirst()) return pairs.map { pair in return lerp(pair.0, pair.1, t) } } }
func interpZip(points: [CGPoint]) -> (CGFloat) -> [CGPoint] { return {
t in let pairs = zip(points, points.dropFirst()) return pairs.map { pair in return lerp(pair.0, pair.1, t) } } }
func interpZip(points: [CGPoint]) -> (CGFloat) -> [CGPoint] { return {
t in let pairs = zip(points, points.dropFirst()) return pairs.map { pair in return pair.0.lerp(pair.1, t: timeValue) } } }
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Thank you ! Ben Scheirman nsscreencast.com @subdigital
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Thank you ! Ben Scheirman nsscreencast.com @subdigital Ask me for
a sticker! ステッカーが欲しかったら話 しかけてください!