Dots are coming when i draw line through mouse

hi friends i am having an issue plz help me out…
i m making sketch pad in as3 and i have got smoothness issue when i draw a curve but thank god its resolved but now i am facing serious issue which is “dots are coming when i draw line through mouse movement and make alpha 0.5 or less” these dots are coming with mouse speed variation, i am sending u the code which em using for smooth line

lineLayer.graphics.lineStyle(brushsize, lineColor, 0.1);
lineLayer.graphics.beginFill(lineColor);

lineLayer.graphics.moveTo(lastSmoothedMouseX + L0Cos0, lastSmoothedMouseY + L0Sin0);
lineLayer.graphics.curveTo(controlX1,controlY1,smo  othedMouseX + L1Cos1, smoothedMouseY + L1Sin1);
lineLayer.graphics.lineTo(smoothedMouseX - L1Cos1, smoothedMouseY - L1Sin1);
lineLayer.graphics.curveTo(controlX2, controlY2, lastSmoothedMouseX - L0Cos0, lastSmoothedMouseY - L0Sin0);
lineLayer.graphics.lineTo(lastSmoothedMouseX + L0Cos0, lastSmoothedMouseY + L0Sin0);
lineLayer.graphics.endFill();
boardBitmapData.draw(lineLayer);

smoothness is perfect but dots are there when i reduce alpha. this is with 0.1 alpha, and when i turned alpha = 1, its works fine.