Rotating a Sprite in Java - java

While working on Projectiles I thought that it would be a good idea to rotate the sprite as well, to make it look nicer.
I am currently using a 1-Dimensional Array, and the sprite's width and height can and will vary, so it makes it a bit more difficult for me to figure out on how to do this correctly.
I will be honest and straight out say it: I have absolutely no idea on how to do this. There have been a few searches that I have done to try to find some stuff, and there were some things out there, but the best I found was this:
DreamInCode ~ Rotating a 1-dimensional Array of Pixels
This method works fine, but only for square Sprites. I would also like to apply this for non-square (rectangular) Sprites. How could I set it up so that rectangular sprites can be rotated?
Currently, I'm attempting to make a laser, and it would look much better if it didn't only go along a vertical or horizontal axis.

You need to recalculate the coordinate points of your image (take a look here). You've to do a matrix product of every point of your sprite (x, y) for the rotation matrix, to get the new point in the space x' and y'.
You can assume that the bottom left (or the bottom up, depends on your system coordinate orientation) of your sprite is at (x,y) = (0,0)
And you should recalculate the color too (because if you have a pure red pixel surrounded by blue pixel at (x,y)=(10,5) when you rotate it can move for example to (x, y)=(8.33, 7.1) that it's not a real pixel position because pixel haven't float coordinate. So the pixel at real position (x, y)=(8, 7) will be not anymore pure red, but a red with a small percentage of blue)... but one thing for time.

It's easier than you think: you only have to copy the original rectangular sprites centered into bigger square ones with transparent background. .png files have that option and I think you may use them.

Related

Rendering a triangular face in 3d space

Let's say I have a triangular face in 3d space, and I have the 3d coordinates of each vertex of this triangle, and would also have other information about the triangle(angles, lengths of sides, etc.). In Java, if I have the viewing screen and its information, how can I draw that plane, without using libraries like LWJGL, to that image, assuming I can properly project, accounting for perspective, any 3d point to that 2d image.
Would the best course of action just be to run a loop that draws each point on the plain to a point on the image(i.e. setting the corresponding pixel), which will most likely set the same pixel multiple times? If I'd do this, what would be the best way to identify each point in an oblique triangle, or a triangle that doesn't line up nicely with the axes?
tl;dr: I have a triangular face in 3d space, a "camera" looking at the face, and an image in which I can set each pixel. Using no GL libraries, what's the best way to project and draw that face onto the image?
Projection :
won't detail as you seems to know it
Drawing a line
you can look at Bresenham algorithm if you wanna start with the basics
(hardwared in recent graphics card)
Filling
you can fill between left and right borders of the triangle while you use Bresenham on both (you could use a floodfill algorithm starting ... i don't know, maybe at the projection of the center of the triangle)
Your best bet is to check out the g.fillPolygon() function for Java. It allows you to draw polygons with as many sides as possible and theres also g.drawPolygon() if you don't want it solid. Then you can just do some simple maths for the points. Such as each point is basically it's x and y except if the polygon is further away the points move closer to the center of the polygon and if the polygon is closer they move further away from the center of the polygon.
A second idea could be using some sort of array to store pixels and then researching line drawing algorithms and drawing lines then putting all the line data in another array and using some sort of flood-fill. Then whilst it's in that array you could try and do some weird stuff to the pixels if you wanted textures or something.

How to do 2D ground with depth sense in libgdx?

I know do a horizontal and vertical scroller game (like Mario), in this game type, the character is always in the same distance from user. The character only moves to left and right in horizontal scroller and to down and up in vertical scroller.
But there are games in 2D that the character can move freely in the scene, like for example graphic adventures.
So how can I do that ground in order to move the character freely on the ground with depth sense?
An example can see in this video: http://youtu.be/DbZZVbF8fZY?t=4m17s
Thanks you.
This is how I would do that:
First imagine that you are looking at your scene from the top to the ground. Set your coordinate system like that. So all object on your scene will have X and Y coordinates. All your object movements and checking (when character bumps into a wall or something), calculations do in that 2D world.
Now, to draw your world, if you want simpler thing, without some isometric perspective 3D look you just to draw your background image first, and then order all your objects far to near and draw them that way. Devide your Y coords to squeeze movement area a bit. Add some constant to Y to move that area down. If you characters can jump or fly (move trough Y axe) just move Y coord to for some amount.
But if you want it to be more 3D you'll have to make some kind of perspective transformation - multiply your X coordinate with Y and some constant (start with value 1 for constant and tune it up until optimal value). You can do similar thing with Y coord too, but don't think it's needed for adventure games like this.
This is probably hard to understand without the image, but it's actually very simple transformation.

Finding A World Space Vector Using Unproject

I'm experimenting with LibGDX and 3D in a projection view. Right now I'm looking at how to determine the outermost bounds of my viewport in world space at z=0.0, in order to draw coordinate grid no larger than necessary. However, I seem to have outpaced my education in that I haven't taken a formal linear algebra class and am still a little fuzzy on matrix math.
Is there a way to determine where I should start and stop drawing lines without resorting to using picking and drawing a transparent plane to intersect with?
LibGDX's unproject function takes screen coordinates in a Vector3 and returns a Vector3 in world space from the near clipping plane to the far, given the provided z. However, given that I have a translated and rotated Camera (an encapsulation of the viewprojection matrix and a slew of convenience methods), it occurs to me that I can't pick an arbitrary z to put in the window coordinate vector and just set it to 0.0 after unprojection, as that point probably won't be the furthest viewable point in the viewport. So how do I know what z value to use in the window coordinate that will give the the x and y I need in world space that's at z=0.0?
EDIT (UPDATE):
So apparently it looks like the problem I'm looking at is plane intersection, which would require ray tracing. So now I suppose my question is this: is ray tracing 4 times per render loop (or, I suppose whenever the camera has moved) worth the payoff of being able to dynamically draw a worldspace coordinate grid no larger than the viewport? If not, is there a cheaper algorithm I can use to estimate where I should start and stop drawing lines?

Finding the footprint of an isometric entity

I'm working on making a 2D isometric engine in Java because I like suffering, I guess. Anyways, I'm getting into collision detection and I've hit a bit of a problem.
Characters in-game are not restricted to movement from tile to tile - they move freely. My problem is that I'm not sure how to stop a player from colliding with, say, a crate, without denying them access to the tile.
For instance, say the crate was on .5 of a tile, and then the rest of the crate was off the tile, I'd like the player to be able to move on to the free .5 of the tile instead of the entire tile becoming blocked.
The problem I've hit is that I'm not sure how to approximate the size of the footprint of the object. Using the image's dimensions don't work very well, since the object's "height" in gamespace translates to additional floorspace being taken up by the image.
How should I estimate an object's size? Mind, I don't need pixel-perfect detection. A rhombus would work fine.
I'm happy to provide any code you might need, but this seems like a math issue.
From the bounding rectangle of the sprite, you can infer the height of a rhombus that fits inside, but you cannot precisely determine the two dimensions on the floor, as each dimension contributes equally to width and height of the sprite. However, if you assume that the base of the rhombus square then you can determine the length of its side as well.
If the sprite is W pixels wide and H pixels high, the square base of the rhombus has a side of W / sqrt(3) and the height of the rhombus will be H - (W / sqrt(3)). This image of some shapes in isometric projection can be helpful to understand why these formulas work.

Strange issues with texture mapping

I am attempting to use texture coordinates from a pre-generated PNG file on a 3d world of quads loaded into Java with LWJGL's slick-util extension.
The texture file is 192x96pixels, and properly formatted. It's composed of 6x3 32x32 tiles.
The 3d quads are 1.5f wide and long. They are spaced apart properly.
I am having issues getting the right texture coordinates. When I put 0.0f to 0.333333f as the y coordinates, I get slightly more than the top tile's height displayed. However, if I put 0.0f-0.25f, I get exactly 1/3rd, which is my tile's height. I have yet to find a magic number for the X coordinates, but maybe someone could explain to me why 1/4 of 96 is 24 according to textures coordinates, or what I'm doing wrong? I'm suspecting it could be a clash between my quad size and textures.
The tops of the cubes are using the texture coordinates (0.0, 0.0f), (0.0, 0.333333f), (0.166666f, 0.333333f), (0.166666f, 0.0f), which is applied moving anticlockwise from the top left to the top right. Again, the main texture file is 32x32 tiles arranged to make 192x96(96 is the height).
Notice I placed a white line at the top of one of the tiles to see its border, and black line at it's bottom, then a white line for the top of the next one below it. The texture 'bleeds' too far down. The other textures have their own even stranger coordinates, as you can see.
Arranging texture coordinates with the assumption the top of the image is 1.0 rather than the bottom produces odd squares with a rectangular hole in the center where quads should be.
I am using TEX_ENV GL_MODULATE.
Texture sizes are usually a power of 2. I suspect something resized your 192x96 texture as a 256x128 or 256x256 texture. This doesn't really explain the values you found however... But, I think, if you resize your texture to 256x256(increase the size, don't scale!) and calculate your texture coordinates based on that, your problem will go away.
I don't know about java but with my image atlases in objective C and openGL ES you need to make the textures smaller than what you are referring to when selecting them from the atlas.
Have you left a sufficient gap between the texture images to prevent 'bleeding?

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