Animate a shape along a line or path in konva










0















Is it possible in Konva to animate a shape (marker, circle) along a lline/path. I tried to manually calculate positions over time but this is only feasible if the line is straight from A to B, but I'm interested in a bezier curve and multiple path points.



So I wonder if Konva supports this kind of thing or someone could give a direction how to approach this.










share|improve this question
























  • Okay, basically using getPointAtLength(length) and getLength() should allow to get a position of a point on a graph… which then could be animated: konvajs.github.io/api/Konva.Path.html

    – florian norbert bepunkt
    Nov 16 '18 at 1:58
















0















Is it possible in Konva to animate a shape (marker, circle) along a lline/path. I tried to manually calculate positions over time but this is only feasible if the line is straight from A to B, but I'm interested in a bezier curve and multiple path points.



So I wonder if Konva supports this kind of thing or someone could give a direction how to approach this.










share|improve this question
























  • Okay, basically using getPointAtLength(length) and getLength() should allow to get a position of a point on a graph… which then could be animated: konvajs.github.io/api/Konva.Path.html

    – florian norbert bepunkt
    Nov 16 '18 at 1:58














0












0








0








Is it possible in Konva to animate a shape (marker, circle) along a lline/path. I tried to manually calculate positions over time but this is only feasible if the line is straight from A to B, but I'm interested in a bezier curve and multiple path points.



So I wonder if Konva supports this kind of thing or someone could give a direction how to approach this.










share|improve this question
















Is it possible in Konva to animate a shape (marker, circle) along a lline/path. I tried to manually calculate positions over time but this is only feasible if the line is straight from A to B, but I'm interested in a bezier curve and multiple path points.



So I wonder if Konva supports this kind of thing or someone could give a direction how to approach this.







html5-canvas konvajs react-konva






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share|improve this question













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edited Nov 18 '18 at 11:49









Vanquished Wombat

3,95011338




3,95011338










asked Nov 16 '18 at 1:25









florian norbert bepunktflorian norbert bepunkt

517




517












  • Okay, basically using getPointAtLength(length) and getLength() should allow to get a position of a point on a graph… which then could be animated: konvajs.github.io/api/Konva.Path.html

    – florian norbert bepunkt
    Nov 16 '18 at 1:58


















  • Okay, basically using getPointAtLength(length) and getLength() should allow to get a position of a point on a graph… which then could be animated: konvajs.github.io/api/Konva.Path.html

    – florian norbert bepunkt
    Nov 16 '18 at 1:58

















Okay, basically using getPointAtLength(length) and getLength() should allow to get a position of a point on a graph… which then could be animated: konvajs.github.io/api/Konva.Path.html

– florian norbert bepunkt
Nov 16 '18 at 1:58






Okay, basically using getPointAtLength(length) and getLength() should allow to get a position of a point on a graph… which then could be animated: konvajs.github.io/api/Konva.Path.html

– florian norbert bepunkt
Nov 16 '18 at 1:58













1 Answer
1






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oldest

votes


















1














As you have identified, the Path object has some handy methods in getLength() to find the overall path length and getPointAtLength() which can then be used to find the (x,y) at any given point along the length.



In case it helps anyone, I built the path data from the output of another snippet from this other question.






var data = ["x":34,"y":34,"x":84,"y":64,"x":141,"y":79,"x":181.5,"y":78.5,"x":218,"y":62,"x":223,"y":40,"x":240,"y":26,"x":259.5,"y":25,"x":271,"y":40,"x":292.5,"y":53,"x":311.25,"y":55.5,"x":330.625,"y":46.75,"x":332.3125,"y":30.375,"x":349.15625,"y":10.1875,"x":374.578125,"y":10.09375,"x":392,"y":26,"x":411,"y":36,"x":444.5,"y":37,"x":453.875,"y":27.25,"x":463.25,"y":17.5,"x":472.9375,"y":10.625,"x":494.625,"y":15.75,"x":530,"y":48,"x":534,"y":88,"x":540,"y":150,"x":552,"y":198,"x":544,"y":227,"x":522,"y":256,"x":504.5,"y":263,"x":471,"y":262,"x":448,"y":252,"x":372,"y":214,"x":290,"y":146,"x":256,"y":100,"x":198,"y":104,"x":182,"y":140,"x":204,"y":185,"x":203,"y":201.5,"x":190,"y":214,"x":174.5,"y":218,"x":155,"y":214,"x":124,"y":222,"x":113.5,"y":232.5,"x":95,"y":227,"x":75.5,"y":211.5,"x":72,"y":188,"x":58,"y":136]

// Set up the canvas / stage
var stage = new Konva.Stage(container: 'container1', width: 600, height: 300);

// Add a layer for line
var layer = new Konva.Layer(draggable: false);
stage.add(layer);

// draw a path.
var path = new Konva.Path(
x: 0,
y: 0,
stroke: 'cyan'
);
layer.add(path)

// Load the path points up using M = moveto, L = lineto.
var p = "M" + data[0].x + " " + data[0].y;
for (var i = 1; i < data.length; i = i + 1)
p = p + " L" + data[i].x + " " + data[i].y;

path.setData(p);

// add a circle to be animated along the path
var circle = new Konva.Circle( x: data[0].x, y: data[0].y, radius: 10, fill: 'Magenta');
layer.add(circle);

stage.draw();

$('#reset').on('click', function()

// Now animate a circle along the path
var steps = 50; // number of steps in animation
var pathLen = path.getLength();
var step = pathLen / steps;
var frameCnt = 0, pos =0, pt;

anim = new Konva.Animation(function(frame)
pos = pos + 1;
pt = path.getPointAtLength(pos * step);
circle.position(x: pt.x, y: pt.y);
, layer);

anim.start();
)

$('#reset').trigger('click');

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/konva/2.5.1/konva.min.js"></script>
<button style='position: absolute; z-index: 10;' id='reset'>Go</button>
<div id='container1' style="width: 300px, height: 200px; background-color: silver;"></div>
<div id='img'></div>








share|improve this answer























  • thank you so much for this clear and detailed answer, especially for also referencing the other snippet. much appreciated.

    – florian norbert bepunkt
    Nov 16 '18 at 22:48










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1 Answer
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1 Answer
1






active

oldest

votes









active

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active

oldest

votes









1














As you have identified, the Path object has some handy methods in getLength() to find the overall path length and getPointAtLength() which can then be used to find the (x,y) at any given point along the length.



In case it helps anyone, I built the path data from the output of another snippet from this other question.






var data = ["x":34,"y":34,"x":84,"y":64,"x":141,"y":79,"x":181.5,"y":78.5,"x":218,"y":62,"x":223,"y":40,"x":240,"y":26,"x":259.5,"y":25,"x":271,"y":40,"x":292.5,"y":53,"x":311.25,"y":55.5,"x":330.625,"y":46.75,"x":332.3125,"y":30.375,"x":349.15625,"y":10.1875,"x":374.578125,"y":10.09375,"x":392,"y":26,"x":411,"y":36,"x":444.5,"y":37,"x":453.875,"y":27.25,"x":463.25,"y":17.5,"x":472.9375,"y":10.625,"x":494.625,"y":15.75,"x":530,"y":48,"x":534,"y":88,"x":540,"y":150,"x":552,"y":198,"x":544,"y":227,"x":522,"y":256,"x":504.5,"y":263,"x":471,"y":262,"x":448,"y":252,"x":372,"y":214,"x":290,"y":146,"x":256,"y":100,"x":198,"y":104,"x":182,"y":140,"x":204,"y":185,"x":203,"y":201.5,"x":190,"y":214,"x":174.5,"y":218,"x":155,"y":214,"x":124,"y":222,"x":113.5,"y":232.5,"x":95,"y":227,"x":75.5,"y":211.5,"x":72,"y":188,"x":58,"y":136]

// Set up the canvas / stage
var stage = new Konva.Stage(container: 'container1', width: 600, height: 300);

// Add a layer for line
var layer = new Konva.Layer(draggable: false);
stage.add(layer);

// draw a path.
var path = new Konva.Path(
x: 0,
y: 0,
stroke: 'cyan'
);
layer.add(path)

// Load the path points up using M = moveto, L = lineto.
var p = "M" + data[0].x + " " + data[0].y;
for (var i = 1; i < data.length; i = i + 1)
p = p + " L" + data[i].x + " " + data[i].y;

path.setData(p);

// add a circle to be animated along the path
var circle = new Konva.Circle( x: data[0].x, y: data[0].y, radius: 10, fill: 'Magenta');
layer.add(circle);

stage.draw();

$('#reset').on('click', function()

// Now animate a circle along the path
var steps = 50; // number of steps in animation
var pathLen = path.getLength();
var step = pathLen / steps;
var frameCnt = 0, pos =0, pt;

anim = new Konva.Animation(function(frame)
pos = pos + 1;
pt = path.getPointAtLength(pos * step);
circle.position(x: pt.x, y: pt.y);
, layer);

anim.start();
)

$('#reset').trigger('click');

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/konva/2.5.1/konva.min.js"></script>
<button style='position: absolute; z-index: 10;' id='reset'>Go</button>
<div id='container1' style="width: 300px, height: 200px; background-color: silver;"></div>
<div id='img'></div>








share|improve this answer























  • thank you so much for this clear and detailed answer, especially for also referencing the other snippet. much appreciated.

    – florian norbert bepunkt
    Nov 16 '18 at 22:48















1














As you have identified, the Path object has some handy methods in getLength() to find the overall path length and getPointAtLength() which can then be used to find the (x,y) at any given point along the length.



In case it helps anyone, I built the path data from the output of another snippet from this other question.






var data = ["x":34,"y":34,"x":84,"y":64,"x":141,"y":79,"x":181.5,"y":78.5,"x":218,"y":62,"x":223,"y":40,"x":240,"y":26,"x":259.5,"y":25,"x":271,"y":40,"x":292.5,"y":53,"x":311.25,"y":55.5,"x":330.625,"y":46.75,"x":332.3125,"y":30.375,"x":349.15625,"y":10.1875,"x":374.578125,"y":10.09375,"x":392,"y":26,"x":411,"y":36,"x":444.5,"y":37,"x":453.875,"y":27.25,"x":463.25,"y":17.5,"x":472.9375,"y":10.625,"x":494.625,"y":15.75,"x":530,"y":48,"x":534,"y":88,"x":540,"y":150,"x":552,"y":198,"x":544,"y":227,"x":522,"y":256,"x":504.5,"y":263,"x":471,"y":262,"x":448,"y":252,"x":372,"y":214,"x":290,"y":146,"x":256,"y":100,"x":198,"y":104,"x":182,"y":140,"x":204,"y":185,"x":203,"y":201.5,"x":190,"y":214,"x":174.5,"y":218,"x":155,"y":214,"x":124,"y":222,"x":113.5,"y":232.5,"x":95,"y":227,"x":75.5,"y":211.5,"x":72,"y":188,"x":58,"y":136]

// Set up the canvas / stage
var stage = new Konva.Stage(container: 'container1', width: 600, height: 300);

// Add a layer for line
var layer = new Konva.Layer(draggable: false);
stage.add(layer);

// draw a path.
var path = new Konva.Path(
x: 0,
y: 0,
stroke: 'cyan'
);
layer.add(path)

// Load the path points up using M = moveto, L = lineto.
var p = "M" + data[0].x + " " + data[0].y;
for (var i = 1; i < data.length; i = i + 1)
p = p + " L" + data[i].x + " " + data[i].y;

path.setData(p);

// add a circle to be animated along the path
var circle = new Konva.Circle( x: data[0].x, y: data[0].y, radius: 10, fill: 'Magenta');
layer.add(circle);

stage.draw();

$('#reset').on('click', function()

// Now animate a circle along the path
var steps = 50; // number of steps in animation
var pathLen = path.getLength();
var step = pathLen / steps;
var frameCnt = 0, pos =0, pt;

anim = new Konva.Animation(function(frame)
pos = pos + 1;
pt = path.getPointAtLength(pos * step);
circle.position(x: pt.x, y: pt.y);
, layer);

anim.start();
)

$('#reset').trigger('click');

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/konva/2.5.1/konva.min.js"></script>
<button style='position: absolute; z-index: 10;' id='reset'>Go</button>
<div id='container1' style="width: 300px, height: 200px; background-color: silver;"></div>
<div id='img'></div>








share|improve this answer























  • thank you so much for this clear and detailed answer, especially for also referencing the other snippet. much appreciated.

    – florian norbert bepunkt
    Nov 16 '18 at 22:48













1












1








1







As you have identified, the Path object has some handy methods in getLength() to find the overall path length and getPointAtLength() which can then be used to find the (x,y) at any given point along the length.



In case it helps anyone, I built the path data from the output of another snippet from this other question.






var data = ["x":34,"y":34,"x":84,"y":64,"x":141,"y":79,"x":181.5,"y":78.5,"x":218,"y":62,"x":223,"y":40,"x":240,"y":26,"x":259.5,"y":25,"x":271,"y":40,"x":292.5,"y":53,"x":311.25,"y":55.5,"x":330.625,"y":46.75,"x":332.3125,"y":30.375,"x":349.15625,"y":10.1875,"x":374.578125,"y":10.09375,"x":392,"y":26,"x":411,"y":36,"x":444.5,"y":37,"x":453.875,"y":27.25,"x":463.25,"y":17.5,"x":472.9375,"y":10.625,"x":494.625,"y":15.75,"x":530,"y":48,"x":534,"y":88,"x":540,"y":150,"x":552,"y":198,"x":544,"y":227,"x":522,"y":256,"x":504.5,"y":263,"x":471,"y":262,"x":448,"y":252,"x":372,"y":214,"x":290,"y":146,"x":256,"y":100,"x":198,"y":104,"x":182,"y":140,"x":204,"y":185,"x":203,"y":201.5,"x":190,"y":214,"x":174.5,"y":218,"x":155,"y":214,"x":124,"y":222,"x":113.5,"y":232.5,"x":95,"y":227,"x":75.5,"y":211.5,"x":72,"y":188,"x":58,"y":136]

// Set up the canvas / stage
var stage = new Konva.Stage(container: 'container1', width: 600, height: 300);

// Add a layer for line
var layer = new Konva.Layer(draggable: false);
stage.add(layer);

// draw a path.
var path = new Konva.Path(
x: 0,
y: 0,
stroke: 'cyan'
);
layer.add(path)

// Load the path points up using M = moveto, L = lineto.
var p = "M" + data[0].x + " " + data[0].y;
for (var i = 1; i < data.length; i = i + 1)
p = p + " L" + data[i].x + " " + data[i].y;

path.setData(p);

// add a circle to be animated along the path
var circle = new Konva.Circle( x: data[0].x, y: data[0].y, radius: 10, fill: 'Magenta');
layer.add(circle);

stage.draw();

$('#reset').on('click', function()

// Now animate a circle along the path
var steps = 50; // number of steps in animation
var pathLen = path.getLength();
var step = pathLen / steps;
var frameCnt = 0, pos =0, pt;

anim = new Konva.Animation(function(frame)
pos = pos + 1;
pt = path.getPointAtLength(pos * step);
circle.position(x: pt.x, y: pt.y);
, layer);

anim.start();
)

$('#reset').trigger('click');

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/konva/2.5.1/konva.min.js"></script>
<button style='position: absolute; z-index: 10;' id='reset'>Go</button>
<div id='container1' style="width: 300px, height: 200px; background-color: silver;"></div>
<div id='img'></div>








share|improve this answer













As you have identified, the Path object has some handy methods in getLength() to find the overall path length and getPointAtLength() which can then be used to find the (x,y) at any given point along the length.



In case it helps anyone, I built the path data from the output of another snippet from this other question.






var data = ["x":34,"y":34,"x":84,"y":64,"x":141,"y":79,"x":181.5,"y":78.5,"x":218,"y":62,"x":223,"y":40,"x":240,"y":26,"x":259.5,"y":25,"x":271,"y":40,"x":292.5,"y":53,"x":311.25,"y":55.5,"x":330.625,"y":46.75,"x":332.3125,"y":30.375,"x":349.15625,"y":10.1875,"x":374.578125,"y":10.09375,"x":392,"y":26,"x":411,"y":36,"x":444.5,"y":37,"x":453.875,"y":27.25,"x":463.25,"y":17.5,"x":472.9375,"y":10.625,"x":494.625,"y":15.75,"x":530,"y":48,"x":534,"y":88,"x":540,"y":150,"x":552,"y":198,"x":544,"y":227,"x":522,"y":256,"x":504.5,"y":263,"x":471,"y":262,"x":448,"y":252,"x":372,"y":214,"x":290,"y":146,"x":256,"y":100,"x":198,"y":104,"x":182,"y":140,"x":204,"y":185,"x":203,"y":201.5,"x":190,"y":214,"x":174.5,"y":218,"x":155,"y":214,"x":124,"y":222,"x":113.5,"y":232.5,"x":95,"y":227,"x":75.5,"y":211.5,"x":72,"y":188,"x":58,"y":136]

// Set up the canvas / stage
var stage = new Konva.Stage(container: 'container1', width: 600, height: 300);

// Add a layer for line
var layer = new Konva.Layer(draggable: false);
stage.add(layer);

// draw a path.
var path = new Konva.Path(
x: 0,
y: 0,
stroke: 'cyan'
);
layer.add(path)

// Load the path points up using M = moveto, L = lineto.
var p = "M" + data[0].x + " " + data[0].y;
for (var i = 1; i < data.length; i = i + 1)
p = p + " L" + data[i].x + " " + data[i].y;

path.setData(p);

// add a circle to be animated along the path
var circle = new Konva.Circle( x: data[0].x, y: data[0].y, radius: 10, fill: 'Magenta');
layer.add(circle);

stage.draw();

$('#reset').on('click', function()

// Now animate a circle along the path
var steps = 50; // number of steps in animation
var pathLen = path.getLength();
var step = pathLen / steps;
var frameCnt = 0, pos =0, pt;

anim = new Konva.Animation(function(frame)
pos = pos + 1;
pt = path.getPointAtLength(pos * step);
circle.position(x: pt.x, y: pt.y);
, layer);

anim.start();
)

$('#reset').trigger('click');

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/konva/2.5.1/konva.min.js"></script>
<button style='position: absolute; z-index: 10;' id='reset'>Go</button>
<div id='container1' style="width: 300px, height: 200px; background-color: silver;"></div>
<div id='img'></div>








var data = ["x":34,"y":34,"x":84,"y":64,"x":141,"y":79,"x":181.5,"y":78.5,"x":218,"y":62,"x":223,"y":40,"x":240,"y":26,"x":259.5,"y":25,"x":271,"y":40,"x":292.5,"y":53,"x":311.25,"y":55.5,"x":330.625,"y":46.75,"x":332.3125,"y":30.375,"x":349.15625,"y":10.1875,"x":374.578125,"y":10.09375,"x":392,"y":26,"x":411,"y":36,"x":444.5,"y":37,"x":453.875,"y":27.25,"x":463.25,"y":17.5,"x":472.9375,"y":10.625,"x":494.625,"y":15.75,"x":530,"y":48,"x":534,"y":88,"x":540,"y":150,"x":552,"y":198,"x":544,"y":227,"x":522,"y":256,"x":504.5,"y":263,"x":471,"y":262,"x":448,"y":252,"x":372,"y":214,"x":290,"y":146,"x":256,"y":100,"x":198,"y":104,"x":182,"y":140,"x":204,"y":185,"x":203,"y":201.5,"x":190,"y":214,"x":174.5,"y":218,"x":155,"y":214,"x":124,"y":222,"x":113.5,"y":232.5,"x":95,"y":227,"x":75.5,"y":211.5,"x":72,"y":188,"x":58,"y":136]

// Set up the canvas / stage
var stage = new Konva.Stage(container: 'container1', width: 600, height: 300);

// Add a layer for line
var layer = new Konva.Layer(draggable: false);
stage.add(layer);

// draw a path.
var path = new Konva.Path(
x: 0,
y: 0,
stroke: 'cyan'
);
layer.add(path)

// Load the path points up using M = moveto, L = lineto.
var p = "M" + data[0].x + " " + data[0].y;
for (var i = 1; i < data.length; i = i + 1)
p = p + " L" + data[i].x + " " + data[i].y;

path.setData(p);

// add a circle to be animated along the path
var circle = new Konva.Circle( x: data[0].x, y: data[0].y, radius: 10, fill: 'Magenta');
layer.add(circle);

stage.draw();

$('#reset').on('click', function()

// Now animate a circle along the path
var steps = 50; // number of steps in animation
var pathLen = path.getLength();
var step = pathLen / steps;
var frameCnt = 0, pos =0, pt;

anim = new Konva.Animation(function(frame)
pos = pos + 1;
pt = path.getPointAtLength(pos * step);
circle.position(x: pt.x, y: pt.y);
, layer);

anim.start();
)

$('#reset').trigger('click');

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/konva/2.5.1/konva.min.js"></script>
<button style='position: absolute; z-index: 10;' id='reset'>Go</button>
<div id='container1' style="width: 300px, height: 200px; background-color: silver;"></div>
<div id='img'></div>





var data = ["x":34,"y":34,"x":84,"y":64,"x":141,"y":79,"x":181.5,"y":78.5,"x":218,"y":62,"x":223,"y":40,"x":240,"y":26,"x":259.5,"y":25,"x":271,"y":40,"x":292.5,"y":53,"x":311.25,"y":55.5,"x":330.625,"y":46.75,"x":332.3125,"y":30.375,"x":349.15625,"y":10.1875,"x":374.578125,"y":10.09375,"x":392,"y":26,"x":411,"y":36,"x":444.5,"y":37,"x":453.875,"y":27.25,"x":463.25,"y":17.5,"x":472.9375,"y":10.625,"x":494.625,"y":15.75,"x":530,"y":48,"x":534,"y":88,"x":540,"y":150,"x":552,"y":198,"x":544,"y":227,"x":522,"y":256,"x":504.5,"y":263,"x":471,"y":262,"x":448,"y":252,"x":372,"y":214,"x":290,"y":146,"x":256,"y":100,"x":198,"y":104,"x":182,"y":140,"x":204,"y":185,"x":203,"y":201.5,"x":190,"y":214,"x":174.5,"y":218,"x":155,"y":214,"x":124,"y":222,"x":113.5,"y":232.5,"x":95,"y":227,"x":75.5,"y":211.5,"x":72,"y":188,"x":58,"y":136]

// Set up the canvas / stage
var stage = new Konva.Stage(container: 'container1', width: 600, height: 300);

// Add a layer for line
var layer = new Konva.Layer(draggable: false);
stage.add(layer);

// draw a path.
var path = new Konva.Path(
x: 0,
y: 0,
stroke: 'cyan'
);
layer.add(path)

// Load the path points up using M = moveto, L = lineto.
var p = "M" + data[0].x + " " + data[0].y;
for (var i = 1; i < data.length; i = i + 1)
p = p + " L" + data[i].x + " " + data[i].y;

path.setData(p);

// add a circle to be animated along the path
var circle = new Konva.Circle( x: data[0].x, y: data[0].y, radius: 10, fill: 'Magenta');
layer.add(circle);

stage.draw();

$('#reset').on('click', function()

// Now animate a circle along the path
var steps = 50; // number of steps in animation
var pathLen = path.getLength();
var step = pathLen / steps;
var frameCnt = 0, pos =0, pt;

anim = new Konva.Animation(function(frame)
pos = pos + 1;
pt = path.getPointAtLength(pos * step);
circle.position(x: pt.x, y: pt.y);
, layer);

anim.start();
)

$('#reset').trigger('click');

<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/konva/2.5.1/konva.min.js"></script>
<button style='position: absolute; z-index: 10;' id='reset'>Go</button>
<div id='container1' style="width: 300px, height: 200px; background-color: silver;"></div>
<div id='img'></div>






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answered Nov 16 '18 at 11:22









Vanquished WombatVanquished Wombat

3,95011338




3,95011338












  • thank you so much for this clear and detailed answer, especially for also referencing the other snippet. much appreciated.

    – florian norbert bepunkt
    Nov 16 '18 at 22:48

















  • thank you so much for this clear and detailed answer, especially for also referencing the other snippet. much appreciated.

    – florian norbert bepunkt
    Nov 16 '18 at 22:48
















thank you so much for this clear and detailed answer, especially for also referencing the other snippet. much appreciated.

– florian norbert bepunkt
Nov 16 '18 at 22:48





thank you so much for this clear and detailed answer, especially for also referencing the other snippet. much appreciated.

– florian norbert bepunkt
Nov 16 '18 at 22:48



















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