如何找到旋转矢量的x,y坐标

时间:2009-12-19 18:08:00

标签: javascript geometry rotation trigonometry

我找到了从不同的堆栈溢出帖子计算矢量后旋转的边界框的宽度和高度的最佳方法。这很有效。我现在的问题是计算旋转矢量边界框的新x,y坐标。这是我的javascript。 newWidth, newHeight变量是正确的 - rotatedXPos, rotatedYPos是不正确的,因为x0, y0 - 我认为它应该是向量的旋转中间 - 也是不正确的(它们被设置为向量的右上角/左上角的x,y坐标,我知道这是错误的。)

this.options.rotationAngle = parseInt(this.options.lastRotationAngle);
var degreesAsRadians = this.options.rotationAngle*Math.PI/180;
var points = new Array();
points.push({x:0, y:0});
points.push({x:this.options.width, y:0});
points.push({x:0, y:this.options.height});
points.push({x:this.options.width, y:this.options.height});
var bb = new Array();
bb['left'] = 0; bb['right'] = 0; bb['top'] = 0; bb['bottom'] = 0;

$A(points).each(function(p) {
  var newX = Math.abs(parseInt(p.x * Math.cos(degreesAsRadians) + p.y *  Math.sin(degreesAsRadians)));
  var newY = Math.abs(parseInt(p.x * Math.sin(degreesAsRadians) + p.y * Math.cos(degreesAsRadians)));
  bb['left'] = Math.min(bb['left'], newX);
  bb['right'] = Math.max(bb['right'], newX);
  bb['top'] = Math.min(bb['top'], newY);
  bb['bottom'] = Math.max(bb['bottom'], newY); 
});

var newWidth = parseInt(Math.abs(bb['right'] - bb['left']));
var newHeight = parseInt(Math.abs(bb['bottom'] - bb['top']));

Object.extend(this.options, {
rotatedWidth: newWidth
,rotatedHeight: newHeight 
});

var x0 = this.options.xPos;
var y0 = this.options.yPos;

this.options.rotatedXPos = x0+(this.options.xPos-x0)*Math.cos(degreesAsRadians)+(this.options.yPos-y0)*Math.sin(degreesAsRadians);
this.options.rotatedYPos = y0-(this.options.xPos-x0)*Math.sin(degreesAsRadians)+(this.options.yPos-y0)*Math.cos(degreesAsRadians);

And here is a video.在视频中,红色框正确显示newWidth,newHeight,但rotatedXPosrotatedYPos未在新旋转的矢量的顶部/左侧计算。我非常感谢任何帮助,非常感谢!

1 个答案:

答案 0 :(得分:1)

如果您知道椭圆中心的位置(xc,yc),那么边界框的左上角是

(xc - newWidth/2, yc - newHeight/2)

(假设+ x向右,+ y向下)。