使SVG变换矩阵绕其中心旋转

Question

HTML

<rect id="red" style="fill: red;" height="100" width="20"></rect>

JS

var layer = 
{  
    sizeReal   : { "width": 20, "height": 100 }                   
,   sizeScaled : { "width": 10, "height": 50 }
,   position   : { "x": 200, "y": 200 } 

,   scale      : 0.5
,   rotation   : 0
,   matrix     : [ 1, 0, 0, 1, 0, 0 ]
};

// Not sure if its the cleanest way but it works it rotates itself arounds its center.
//
$("#red")[0].setAttribute( 'transform', 'translate(' + layer.position.x + ',' + layer.position.y +') rotate(' + layer.rotation +',' + ( layer.sizeScaled.width  / 2 ) + ',' + ( layer.sizeScaled.height / 2 ) + ') scale(' + layer.scale + ',' + layer.scale +')' ) 

Now i want to do the same only with a matrix. I'm using sylvester to multiply the matrixes.

I made a fiddle to make the question clear :)

http://jsfiddle.net/xYsHZ/3/

I want the red rect to behave the same as the green rect. What am i doing wrong?

Answer 1

Fixed!! the sequence of the matrix elements was wrong :)

$("#red")[0].setAttribute( 'transform', 'matrix(' + layer.matrix[ 0 ][ 0 ] + ',' + layer.matrix[ 1 ][ 0 ] + ',' + layer.matrix[ 0 ][ 1 ] + ',' + layer.matrix[ 1 ][ 1 ] + ',' + layer.matrix[ 0 ][ 2 ] + ',' + layer.matrix[ 1 ][ 2 ] + ')' );
},50);

http://jsfiddle.net/6DR3D/2/

Answer 2

The problem is the rotate(angle, x, y) call. This call rotates at the given angle around the point (x,y). But instead you build your matrix to rotate around layer.position.

In order to rotate around a given point (x,y), relative to the object, you need to first translate to (-x,-y), then rotate and then translate back to (x,y).

So if you had a matrix multiplication function Mul it might look something like this:

var m1 = GetMatrix(0, 0, {"x":-layer.sizeScaled.width/2, "y":-layer.sizeScaled.height/2});
var m2 = GetMatrix(layer.rotation, layer.scale, layer.position);
var m3 = GetMatrix(0, 0, {"x":layer.sizeScaled.width/2, "y":layer.sizeScaled.height/2});

var m = Mul(Mul(m3,m2), m1); //i.e. apply the matricdes in order m1, then m2, then m3