Html Canvas Clip - Speed issues - html

I split my canvas into two. I need to draw on each side, defining a clipping region for both. Each side has to do similar things, like drawing text in colours, drawing circles etc.
I have read that you should keep your fillStyle and strokeStyle changes to a minimum. However I have also read you must keep your save and restores to a minimum as well.
So what is faster?
Save the canvas, clip the left hand side, do ALL the drawing for that side for the multiple colours, then restore and repeat for the right hand side?
Or ... Set the first text colour. Clip the left hand side. Draw all text for this colour. Then clip the right hand side (without restting fillStyle) and draw all the same colour text for the right hand side. Then set the next fillStyle and then clip each side and draw text for this colour? Etc
Anyone know?
Also if I set one clip region, then set another clip region without saving and restoring, what actually happens?

As always, you must performance test with your own project's code.
The context maintains internal variables relating to its current state (colors, transforms, current path, compositing applied, etc).
You can save a copy of the current context state using context.save. Then after altering the context state, you can restore the original context state with context.restore. Note: you can nest multiple save/restore if needed.
fillStyle is a context state so changing fillStyle='green' followed later by fillStyle='blue' is faster than save/restore because just 1 state variable is being reset rather than every state variable that's done during save/restore.
The point is that you often gain performance by saving+resetting individual state values rather than doing a full context.save/context.restore.
Minimizing state changes will maximize performance, so for example, batching all green drawings will help performance.
Clipping is a complex operation and is more expensive than simple state changes like changing fillStyle. With GPU acceleration the clipping is accomplished much more efficiently and is therefore considerably less costly than clipping without a GPU.
About changing clipping regions: Clipping is always done only on the last path defined. So setting another clipping region will undo the previous clipping region (unless the previous and current path are identical).
About left and right clipping regions: If your design permits, you might want to define both the left and right clipping regions at once into 1 combined clipping region. Since paths can be disconnected, defining 1 clipping path with 2 non-intersecting parts is allowed.
As the car companies warn: "Your mileage may vary". But you might perf test this method:
Define your left and right clipping regions in 1 clipping path
Set fillStyle="red" and do all your red drawings at once (both right and left)
Reset fillStyle="blue" and do all your blue drawings at once, etc, etc.
One final thought: All projects have their own distinct requirements so you must perf test your actual code rather than relying exclusively on general rules. Don't skip the perf tests--especially if you will be deploying on mobile where canvas is slow by nature.
Good luck with your project!
[ Additional note about clipping ]
A clipping region is semi-permanent. Once it is set it remains even if the context.clip command is issued again. The new clip command will further restrict all previous clipping regions.
To clear a clipping path you must wrap your clips inside context.save & context.restore(). Alternatively, resizing the canvas will force the context state to be restored to defaults--but resizing will also clear all canvas content: canvas.width=canvas.width
Here's and example of a single path consisting of a left and right square:
// left square
ctx.beginPath();
ctx.moveTo(50,50);
ctx.lineTo(150,50);
ctx.lineTo(150,150);
ctx.lineTo(50,150);
ctx.closePath();
// right square
ctx.moveTo(200,50);
ctx.lineTo(300,50);
ctx.lineTo(300,150);
ctx.lineTo(200,150);
ctx.closePath();
ctx.strokeStyle="red";
ctx.stroke();
Create a clipping region from this left+right path.
// create a clipping region from the left+right path
ctx.clip();
Fill the entire canvas with green. The green will only be drawn inside the clipping region (inside the left and right squares).
// draw a green rect over the entire canvas
// the green will only be drawn inside the clipping region
ctx.fillStyle="green";
ctx.fillRect(0,0,canvas.width,canvas.height);
If you add a second clipping region, the result is that drawing will only be visible in the union of all clipping paths.
So if the second clipping region slightly overlaps the first, all drawings will only be visible inside the union of the first and second clipping regions. The blue section in the following illustration is the union of the 2 clipping paths.
ctx.beginPath();
ctx.moveTo(0,115);
ctx.lineTo(canvas.width,115);
ctx.lineTo(canvas.width,135);
ctx.lineTo(0,135);
ctx.clip();
ctx.closePath();
ctx.fillStyle="blue";
ctx.fillRect(0,0,canvas.width,canvas.height);

A few ideas :
To handle your two screens, you might use two canvases side by side.
Even if you keep only one canvas, you can reduce the use of clipping by doing :
- erase left half of screen
- draw left part
- erase right part
- clip on right half
- draw right part
Thus you clip only once.
For your color vs clip concern, clipping is much costly than changing color.
And if one keeps on clipping with no save/restore, clipping zones will add-up.
For your strokeStyle/fillStyle, yes there's a cost, especially if using color names ('blue'), or rgb 'rgb()' strings or worse 'hsl()' strings.
So here's a trick : pre-compute and store the colors whenever you can. Simply use the context to convert !
var blue = 'hsl(23, 75%, 75%)';
context.fillStyle = blue ;
blue = context.fillStyle ;

Related

Scale, Position & Rotate Parent object to make child object take up entire stage

Using the first photo below, let's say:
The red outline is the stage bounds
The gray box is a Sprite on the stage.
The green box is a child of the gray box and has a rotation set.
both display object are anchored at the top-left corner (0,0).
I'd like to rotate, scale, and position the gray box, so the green box fills the stage bounds (the green box and stage have the same aspect ratio).
I can negate the rotation easily enough
parent.rotation = -child.rotation
But the scale and position are proving tricky (because of the rotation). I could use some assistance with the Math involved to calculate the scale and position.
This is what I had tried but didn't produce the results I expected:
gray.scaleX = stage.stageWidth / green.width;
gray.scaleY = gray.scaleX;
gray.x = -green.x;
gray.y = -green.y;
gray.rotation = -green.rotation;
I'm not terribly experienced with Transformation matrices but assume I will need to go that route.
Here is an .fla sample what I'm working with:
SampleFile
You can use this answer: https://stackoverflow.com/a/15789937/1627055 to get some basics. First, you are in need to rotate around the top left corner of the green rectangle, so you use green.x and green.y as center point coordinates. But in between you also need to scale the gray rectangle so that the green rectangle's dimensions get equal to stage. With uniform scaling you don't have to worry about distortion, because if a gray rectangle is scaled uniformly, then a green rectangle will remain a rectangle. If the green rectangle's aspect ratio will be different than what you want it to be, you'd better scale the green rectangle prior to performing this trick. So, you need to first transpose the matrix to offset the center point, then you need to add rotation and scale, then you need to transpose it away. Try this set of code:
var green:Sprite; // your green rect. The code is executed within gray rect
var gr:Number=green.rotation*Math.PI/180; // radians
var gs:Number=stage.stageWidth/green.width; // get scale ratio
var alreadyTurned:Boolean; // if we have already applied the rotation+scale
function turn():void {
if (alreadyTurned) return;
var mat:flash.geom.Matrix=this.transform.matrix;
mat.scale(gs,gs);
mat.translate(-gs*green.x,-gs*green.y);
mat.rotate(-1*gr);
this.transform.matrix=mat;
alreadyTurned=true;
}
Sorry, didn't have time to test, so errors might exist. If yes, try swapping scale, translate and rotate, you pretty much need this set of operations to make it work.
For posterity, here is what I ended up using. I create a sprite/movieClip inside the child (green) box and gave it an instance name of "innerObj" (making it the actually content).
var tmpRectangle:Rectangle = new Rectangle(greenChild.x, greenChild.y, greenChild.innerObj.width * greenChild.scaleX, greenChild.innerObj.height * greenChild.scaleY);
//temporary reset
grayParent.transform.matrix = new Matrix();
var gs:Number=stage.stageHeight/(tmpRectangle.height); // get scale ratio
var mat:Matrix=grayParent.transform.matrix;
mat.scale(gs,gs);
mat.translate(-gs * tmpRectangle.x, -gs * tmpRectangle.y);
mat.rotate( -greenChild.rotation * Math.PI / 180);
grayParent.transform.matrix = mat;
If the registration point of the green box is at one of it's corners (let's say top left), and in order to be displayed this way it has a rotation increased, then the solution is very simple: apply this rotation with negative sign to the parent (if it's 56, add -56 to parent's). This way the child will be with rotation 0 and parent -> -56;
But if there is no rotation applied to the green box, there is almost no solution to your problem, because of wrong registration point. There is no true way to actually determine if the box is somehow rotated or not. And this is why - imagine you have rotated the green box at 90 degrees, but changed it's registration point and thus it has no property for rotation. How could the script understand that this is not it's normal position, but it's flipped? Even if you get the bounds, you will see that it's a regular rectangle, but nobody know which side is it's regular positioned one.
So the short answer is - make the registration point properly, and use rotation in order to display it like in the first image. Then add negative rotation to the parent, and its all good :)
Edit:
I'm uploading an image so I can explain my idea better:
 
As you can see, I've created a green object inside the grey one, and the graphics INSIDE are rotated. The green object itself, has rotation of 0, and origin point - top left.
#Vesper - I don't think that the matrix will fix anything in this situation (remember that the green object has rotation of 0).
Otherwise I agree, that the matrix will do a pretty job, but there are many ways to do it :)

Reverse Clipping in Canvas

I want to clip html5 canvas so that I can achieve drawing result as per following image.
I want to achieve clip path such that all drawing will be performed only in black area.
Method 1
Assuming the white areas are transparent and the black is non-transparent then you can use composite mode:
ctx.globalCompositeOperation = 'source-in';
... draw graphics on top - only solid color will be affected ...
ctx.globalCompositeOperation = 'source-over'; // reset to default mode
A demo fiddle for this here
Method 2
Another simpler approach is to simply fill the canvas with the graphics you need then use clearRect() for those areas you want transparent.
This operation is fairly fast so there shouldn't be any flashing (and in case you can trigger this operation with a single requestAnimationFrame call).
A demo fiddle with clearRect
A demo fiddle with clearRect + requestAnimationFrame
Just note that calling rAF makes the code asynchronous but the purpose of using it is that your draw operations are synchronized within a frame update so flicker will be removed (if you should for some reason get problem with that).
Method 3
Create rectangle regions surrounding the area you want to preserve by a series of call to rect(). The set that as a clipping mask by using clip().
This techniques works best if the non-clipped areas are in a certain order or else you would have to define a lot of regions.
Remember to translate canvas 0.5 pixel first and only use integer values for the rectangles.
Method 4
Parse the pixel buffer manually to fill in pixels in the areas fulfilling the requirements, for example non-transparent pixels only.
Just be aware of that this is probably the slowest approach, it's affected by CORS restrictions (in case you draw an external image onto the canvas first) and it's more tedious if you want to fill in shapes, images, gradients and so forth which in case you would probably prefer an off-screen canvas to copy from.
There are other ways using different composite modes and drawing order to achieve the same result but I leave it with this as it should cover most scenarios.
You can use layering to fill your need:
make a copy of your image with all black made transparent
draw the original image on the canvas
draw your desired shapes
draw the transparent image on top
A Demo: http://jsfiddle.net/m1erickson/dFRUf/
This function creates a temporary canvas with the color-range you specify made transparent:
function makeImageTransparentByColor(image,r1,r2,g1,g2,b1,b2){
// create a temporary canvas and draw the image on the canvas
var bk=document.createElement("canvas");
var bkCtx=bk.getContext("2d");
bk.width=image.width;
bk.height=image.height
bkCtx.drawImage(image,0,0);
// get the pixel array from the canvas
var imgData=bkCtx.getImageData(0,0,bk.width,bk.height);
var data=imgData.data;
// loop through each pixel and make every pixel transparent
// that is between r1-r2, g1-g2 and b1-b2
for(var i=0;i<data.length;i+=4){
var r=data[i];
var g=data[i+1];
var b=data[i+2]
if(r>=r1 && r<=r2 && g>=g1 && g<=g2 && b>=b1 && b<=b2){
data[i]=0;
data[i+1]=0;
data[i+2]=0;
data[i+3]=0;
}
}
// put the modified pixels back on the canvas
bkCtx.putImageData(imgData,0,0);
// return the canvas with transparent image
return(bk);
}

Draw stroke on HTML canvas with different levels of opacity

The problem
I'm trying to create a brush tool with opacity jitter (like in Photoshop). The specific problem is:
Draw a stroke on an HTML canvas with different levels of opacity. Pixels with higher opacity should replace pixels with lower opacity; otherwise, pixels are left unchanged.
Transparency should not be lost in the process. The stroke is drawn on a separate canvas and merged with a background canvas afterwards.
The result should look like this. All code and the corresponding output can be found here (JSFiddle).
Because you can't stroke a single path with different levels of opacity (please correct me if I'm wrong) my code creates a path for each segment with different opacity.
Non-solution 1, Using the 'darken' blend mode
The darken blend mode yields the desired result when using opaque pixels but doesn't seem to work with transparency. Loosing transparency is a dealbreaker.
With opaque pixels:
With transparent pixels:
Non-solution 2, Using the 'destination-out' compositing operator
Before drawing a new stroke segment, subtract its opacity from subjacent pixels by using the 'destination-out' compositing operator. Then add the new stroke segment with 'source-over'. This works almost but it's a little bit off.
Looking for a solution
I want to avoid manipulating each pixel by hand (which I have done in the past). Am I missing something obvious? Is there a simple solution to this problem?
"Links to jsfiddle.net must be accompanied by code."
Because you can't stroke a single path with different levels of opacity (please correct me if I'm wrong)
You're wrong =)
When you use globalCompositeOperation = 'destination-out' (which you are in lineDestinationOut) you need to set the strokeStyle opacity to 1 to remove everything.
However, simply changing that in your fiddle doesn't have the required effect due to the order of your path build. Build the 10% transparent one first, the whole length, then delete and draw the two 40% transparent bits.
Here's a jsfiddle of the code below
var canvas = document.getElementById('canvas');
var cx = canvas.getContext('2d');
cx.lineCap = 'round';
cx.lineJoin = 'round';
cx.lineWidth = 40;
// Create the first line, 10% transparency, the whole length of the shape.
cx.strokeStyle = 'rgba(0,0,255,0.1)';
cx.beginPath();
cx.moveTo(20,20);
cx.lineTo(260,20);
cx.lineTo(220,60);
cx.stroke();
cx.closePath();
// Create the first part of the second line, first by clearing the first
// line, then 40% transparency.
cx.strokeStyle = 'black';
cx.globalCompositeOperation = 'destination-out';
cx.beginPath();
cx.moveTo(20,20);
cx.lineTo(100,20);
cx.stroke();
cx.strokeStyle = 'rgba(0,0,255,0.4)';
cx.globalCompositeOperation = 'source-over';
cx.stroke();
cx.closePath();
// Create the second part of the second line, same as above.
cx.strokeStyle = 'black';
cx.globalCompositeOperation = 'destination-out';
cx.beginPath();
cx.moveTo(180,20);
cx.lineTo(260,20);
cx.stroke();
cx.strokeStyle = 'rgba(0,0,255,0.4)';
cx.globalCompositeOperation = 'source-over';
cx.stroke();
cx.closePath();
Use two layers to draw to:
First calculate the top layer opacity 40% - 10% and set this as alpha on top layer
Set bottom layer to 10%
Set top layer with dashed lines (lineDash) (calculate the dash-pattern size based on size requirements)
Draw lines to both layers and the bottom layer will be a single long line, the top layer will draw a dashed line on top when stroked.
Copy both layers to main canvas when done.
#HenryBlyth's answer is probably the best you're going to get; there's no native API to do what you're being asked to do (which, in my opinion, is kinda weird anyways... opacity isn't really supposed to replace pixels).
To spell out the solution in one paragraph: Split up your "stroke" into individual paths with different opacities. Draw the lowest opacity paths as normal. Then, draw the higher opacities with "desitination-out" to remove the low-opacity paths that overlap. Then, draw the high opacity paths as usual, with "source-over", to create the effect desired.
As suggested in the comments to that answer, #markE's comment about making each path an object that is pre-sorted before drawing is a great suggestion. Since you want to perform manual drawing logic that the native API can't do, turning each path into an object and dealing with them that way will be far easier than manually manipulating each pixel (though that solution would work, it could also drive you mad.)
You mention that each stroke is being done on another canvas, which is great, because you can record the mouseevents that fire as that line is being drawn, create an object to represent that path, and then use that object and others in your "merged" canvas without having to worry about pixel manipulation or anything else. I highly recommend switching to an object-oriented approach like #markE suggested, if possible.

What's the purpose of Canvas.Context Save and Restore in this example?

This page shows some animations in HTML5 canvas. If you look at the source of the scroller, there's a statement to save the context after clearing the rectangle and restoring it after the animation. If I substitute the restore statement with another ctx.clearRect(0, 0, can.width, can.height statement, nothing works. I thought the restore is restoring the cleared rectangle but it seems its restoring more info. What's that extra info that's needed for the next frame?
I am not looking for HTML5 textbook definitions of Save and Restore but I want to understand why they are needed in this specific example.
UPDATE
It's frustrating to get an answer where I specifically already mentioned in the question I don't want to get the definitions of save() and restore(). I already know Save() saves the state of the context and Restor()e restores it. My question is very specific. Why is restore() used in the manner in the example when all the Save did is saved an empty canvas. Why is restoring an empty canvas not the same as clearing it?
Canvas state isn't what's drawn on it. It's a stack of properties which define the current state of the tools which are used to draw the next thing.
Canvas is an immediate-mode bitmap.
Like MS Paint. Once it's there, it's there, so there's no point "saving" the current image data, because that would be like saving the whole JPEG, every time you make a change, every frame...
...no, the state you save is the state which will dictate what coordinate-orientation, dimension-scale, colour, etc, you use to draw the NEXT thing (and all things thereafter, until you change those values by hand).
var canvas = document.createElement("canvas"),
easel = canvas.getContext("2d");
easel.fillStyle = "rgb(80, 80, 120)";
easel.strokeStyle = "rgb(120, 120, 200)";
easel.fillRect(x, y, width, height);
easel.strokeRect(x, y, width, height);
easel.save(); // stores ALL current status properties in the stack
easel.rotate(degrees * Math.PI / 180); // radians
easel.scale(scale_X, scale_Y); // any new coordinates/dimensions will now be multiplied by these
easel.translate(new_X, new_Y); // new origin coordinates, based on rotated orientation, multiplied by the scale-factor
easel.fillStyle = "gold";
easel.fillRect(x, y, width, height); // completely new rectangle
// origin is different, and the rotation is different, because you're in a new coordinate space
easel.clearRect(0, 0, width, height); // not even guaranteed to clear the actual canvas, anymore
easel.strokeRect(width/2, height/2, width, height); // still in the new coordinate space, still with the new colour
easel.restore(); // reassign all of the previous status properties
easel.clearRect(0, 0, width, height);
Assuming that you were only one state-change deep on the stack, that last line, now that your canvas' previous state was restored, should have successfully cleared itself (subpixel shenanigans notwithstanding).
So as you can see, it has very, VERY little to do with erasing the canvas.
In fact, it has nothing to do with erasing it, at all.
It has to do with wanting to draw something, and doing the basic outlining and sweeping colours/styles, and then manually writing in the colours for the smaller details on top, and then manually writing all of the styles back the way they were before, to go back to sweeping strokes for the next object, and on and on...
Instead, save general states that will be reused, create a new state for smaller details, and return to the general state, without having to hard-code it, every time, or write setter functions to set frequently-used values on the canvas over and over (resetting scale/rotation/affine-transforms/colours/fonts/line-widths/baseline-alignment/etc).
In your exact example, then, if you're paying attention, you'll see that the only thing that's changing is the value of step.
They've set the state of a bunch of values for the canvas (colour/font/etc).
And then they save. Well, what did they save?
You're not looking deep enough. They actually saved the default translation (ie: origin=0,0 in original world-space).
But you didn't see them define it?
That's because it's defined as default.
They then increase the step 1 pixel (actually, they do this first, but it doesn't matter after the first loop -- stay with me here).
Then they set a new origin point for 0,0 (ie: from now on, when they type 0,0 that new origin will point to a completely different place on the canvas).
That origin point is equal to x being the exact middle of the canvas, and y being equal to the current step (ie: pixel 1 or pixel 2, etc... and why the difference between starting at 0 and starting at 1 really doesn't matter).
Then what do they do?
They restore.
Well, what have they restored?
...well, what have they changed?
They're restoring the point of origin to 0,0
Why?
Well, what would happen if they didn't?
If the canvas is 500px x 200px, and it starts at 0,0 in our current screen space... ...that's great...
Then they translate it to width/2, 1
Okay, so now when they ask to draw text at 0,0 they'll actually be drawing at 250, 1
Wonderful. But what happens next time?
Now they're translating by width/2, 2
You think, well, that's fine... ...the draw call for 0,0 is going to happen at 250, 2, because they've set it to clear numbers: canvas.width/2, 2
Nope. Because current 0,0 is actually 250,1 according to our screen. And one translation is relative to its previous translation...
...so now you're telling the canvas to start at it's current-coordinates' 0,0 and go left 250, and down 2.
According to the screen (which is like a window, looking at the map, and not the map, itself) we're now 500px to the right, and 3 pixels down from where we started... And only one frame has gone by.
So they restore the map's coordinates to be the same origin as the screen's coordinates (and the rotation to be the same, and the scale, and the skew, etc...), before setting the new one.
And as you might guess, by looking at it, now, you can see that the text should actually move top to bottom. Not right to left, like the page says...
Why do this?
Why go to the trouble of changing the coordinate-system of the drawing-context, when the draw commands give you an x and y right there in the function?
If you want to draw a picture on the canvas, and you know how high and wide it is, and where you'd like the top-left corner to be, why can't you just do this:
easel.drawImage(myImg, x, y, myImg.width, myImg.height);
Well, you can.
You can totally do that. There's nothing stopping you.
In fact, if you wanted to make it zoom around the screen, you could just update the x and y on a timer, and call it a day.
But what about if you were drawing a game character? What if the character had a hat, and had gloved hands, and big boots, and all of those things were drawn separate from the character?
So first you'd say "well, he's standing at x and y in the world, so x plus where his hand is in relation to his body would be x + body.x - hand.x...or was that plus..."
...and now you have draw calls for all of his parts that are all looking like a notebook full of Grade 5 math homework.
Instead, you can say: "He's here. Set my coordinates so that 0,0 is right in the middle of my guy". Now your draw calls are as simple as "My right hand is 6 pixels to the right of the body, my left hand is 3 pixels to the left".
And when you're done drawing your character, you can set your origin back to 0,0 and then the next character can be drawn. Or, if you want to attempt it, you can then translate from there to the origin of the next character, based on the delta from one to the other (this will save you a function call per translation). And then, if you only saved state once the whole time (the original state), at the end, you can return to 0,0 by calling .restore.
The context save() saves stuff like transformation color among other stuff. Then you can change the context and restore it to have the same as when you saved it. It works like a stack so you can push multiple canvas states onto the stack and recover them.
http://html5.litten.com/understanding-save-and-restore-for-the-canvas-context/

understanding matrix.transition(); as3

I am trying to understand the method transition that falls in the Matrix Class. I am using it to copy pieces of a bitMapData. But I need to better understand what transitions do.
I have a tilesheet that has 3 images on it. all 30x30 pixels. the width of the total bitmap is 90pxs.
The first tile is green, the second is brown, and the third is yellow. If I move over 30pxs using the matrix that transitions, instead of getting brown, I get yellow, if I move over 60px, I get brown.
If I move -30 pixels, then the order is correct. I am confused on what is going on.
tileNum -= (tileNumber * tWidth);
theMatrix = new Matrix();
theMatrix.translate(tileNum,0);
this.graphics.beginBitmapFill(tileImage,theMatrix);
this.graphics.drawRect(0, 0,tWidth ,tHeight );
this.graphics.endFill();
Can someone tell me how transitions work, or some resources that show how they work. I ultimately want to know a good way to switch back and forth between each tile.
First of all, don't confuse translation with transition. The latter is a general English word for "change", whereas to translate in geometry and general math is to "move" or "offset" something.
A transformation matrix defines how to transform, i.e. scale, rotate and translate, an object, usually in a visual manner. By applying a transformation matrix to an object, all pixels of that object are rotated, moved and scaled/interpolated according to the values stored inside the matrix. If you'd rather not think about matrix math, just think of the matrix as a black box which contains a sequence of rotation, scaling, and translation commands.
The translate() method simply offsets the bitmap that you are about to draw a number of pixels in the X and Y dimensions. If you use the default ("identity") matrix, which contains no translation, the top left corner of your object/bitmap will be in the (0,0) position, known as the origin or registration point.
Consider the following matrix:
var mtx : Matrix = new Matrix; // No translation, no scale, no rotation
mtx.translate(100, 0); // translated 100px on X axis
If you use the above matrix with a BitmapData.draw() or Graphics.beginBitmapFill(), that means that the top left corner of the original bitmap should be at (x=100; y=0) in the target coordinate system. Sticking to your Graphics example, lets first consider drawing a rectangle without a matrix transformation.
var shape : Shape = new Shape;
shape.graphics.beginBitmapFill(myBitmap);
shape.graphics.drawRect(0, 0, 200, 200);
This will draw a 200x200 pixels rectangle. Since there is no transformation involved in the drawing method (we're not supplying a transformation matrix), the top left corner of the bitmap is in (x=0; y=0) of the shape coordinate system, i.e. aligned with the top left corner of the rectangle.
Lets look at a similar example using the matrix.
var shape : Shape = new Shape;
shape.graphics.beginBitmapFill(myBitmap, mtx);
shape.graphics.drawRect(0, 0, 200, 200);
This again draws a rectangle that is 200px wide and 200px high. But where inside this rectangle will the top left corner of myBitmap be? The answer is at (x=100, y=0) of the shape coordinate system. This is because the matrix defines such a translation.
But what then will be to the left of (x=100; y=0)? With the above code, the answer is that the bitmap repeats to fill the entire rectangle, and hence you will see the rightmost side of the bitmap, to the left of the leftmost side, as if there was another instance of the bitmap right next to it. If you want to disable the repeating image, set the third attribute of beginBitmapFill() to false:
shape.graphics.beginBitmpFill(myBitmap, mtx, false);
Lets take a look at one last example that might help your understanding. Remember that the translation matrix defines the position of the top left corner of an image, in the coordinate system of the shape. With this in mind, consider the following code, using the same matrix as before.
var shape : Shape = new Shape;
shape.graphics.beginBitmapFill(myBitmap, mtx);
shape.graphics.drawRect(100, 0, 100, 100);
Notice that this will draw the rectangle 100px in on the X axis. Not coincidentally, this is the same translation that we defined in our matrix, and hence the position of the top left corner of the bitmap. So even though repeating is enabled, we will not see a repeating image to the left of our rectangle, because we only start drawing at the point where the bitmap starts.
So the bottom line is, I guess, that you could think of the transform matrix as a series of transformation commands that you apply to your image as you draw it. This will offset, scale and rotate the image as it's drawn.
If you are curious about the inner workings of the matrix, Google transformation matrices, or read up on Linear Algebra!