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Creating 2D Angled Top Down Terrain Instead of Fully Flat

Similar to the game Factorio im trying to create "3D" terrain but of course in 2D Factorio seems to do this very well, creating terrain that looks like this
Where you can see edges of terrain and its very clearly curved. In my own 2D game Ive been trying to think of how to do the same thing, but all the ways I can think of seem to be slow or CPU intensive. Currently my terrain looks like this:
Simply 2D quads textured and drawn on screen, each quad is 16x16 (except the water thats technically a background but its not important now), How could I even begin to change my terrain to look more like a Factorio or other "2.5D" games, do they simply use different textures and check where the tile would be relative to other tiles? Or do they take a different approach?
Thanks in advance for your help!

I am a Factorio dev but I have not done this, so I can only tell you what I know generally.
There is a basic way to do it and then there are optional improvements.
Either way you will need two things
Set of textures for every situation you want to handle
Set of rules "local topology -> texture"
So you have your 2d tile map, and you move a window across it and whenever it matches a pattern, you apply an appropriate texture.
You probably wouldn't want to do that on the run in every tick, but rather calculate it all when you generate the map (or map segment - Factorio generates new areas when needed).
I will be using your picture and my imba ms paint skills to demonstrate.
This is an example of such rule. Green is land, blue is water, grey is "I don't care".
In reality you will need a lot of such rules to cover all cases (100+ I believe).
In your case, this rule would apply at the two highlighted spots.
This is all you need to have a working generator.
There is one decision that you need to make here. As you can see, the shoreline runs inside the tile, not between tiles. So you need to chose whether it will run through the last land tile, or the last water tile. The picture can therefore be a result of these two maps (my template example would be from the left one):
Both choices are ok. In fact, Factorio switched from the "shoreline on land" on the left to the "shoreline on water" on the right quite recently. Just keep in mind that you will need to adjust the walking/pathfinding to account for this.
Now note that the two areas matched by the one pattern in the example look different. This can be a result of two possible improvements that make the result nicer.
First is that for one case you can have more different textures and pick a random one. You will need to keep that choice in the game save so that it looks the same after load.
Another one is more advanced. While the basic algorithm can already give you pretty good results, there are things it can't do.
You can use larger templates and larger textures that span over several tiles. That way you can draw larger compact pieces of the terrain without being limited by the fact that all the tiles need to be connectable to all (valid) others.

The example you provided are still 2D textures (technically). But since the textures themselves are 'fancy 3D', they appear to be 3D/2D angled.
So your best bet would be to upgrade your textures. (and add shadow to entities for extra depth).
Edit:
The edges you asked about are probably layed-out by checking if a 'tile' is an edge, and if so it adds an edge-texture on top the background. While the actual tile itself is also a flat image (just like the water). Add some shadow afterwards and the 3D illusion is complete.
I hope this answers your question, otherwise feel free to ask clarification.

How do I improve LibGDX 3D rendering performance?

I'm working on rendering a tiled sphere with LibGDX, aimed at producing a game for desktop. Here are some images of what I've got so far: http://imgur.com/GoYvEYZ,xf52D6I#0. I'm rendering 10,000 or so ModelInstances, all of which are generated from code using their own ModelBuilders. They each contain 3 or 4 trianglular parts, and every ModelInstance corresponds to its own Model. Here's the exact rendering code I'm using to do so:
modelBatch.begin(cam);
// Render all visible tiles
visibleCount = 0;
for (Tile t : tiles) {
if (isVisible(cam, t)) {
// t.rendered is a ModelInstance produced earlier by code.
// the Model corresponding to the instance is unique to this tile.
modelBatch.render(t.rendered, environment);
visibleCount++;
}
}
modelBatch.end();
The ModelInstances are not produced from code each frame, just drawn. I only update them when I need to. The "isVisible" check is just some very simple frustum culling, which I followed from this tutorial https://xoppa.github.io/blog/3d-frustum-culling-with-libgdx/. As you can tell from my diagnostic information, my FPS is terrible. I'm aiming for at least 60 FPS rendering what I hope is a fairly-simple scene of tons of polygons. I just know I'm doing this in a very inefficient way.
I've done some research on how people might typically solve this issue, but am stuck trying to apply the solutions to my project. For example, dividing the scene into chunks is recommended, but I don't know how I could make use of that when the player is able to rotate the sphere and view all sides. I read about occlusion culling, so that I might only render ModelInstances on the side of the sphere facing the camera, but am at a loss as to how to implement that in LibGDX.
Additionally, how bad is it that every ModelInstance uses its own Model? Would speed be improved if only one shared Model object was used? If anyone could point me to more resources or give me any good recommendations on how I can improve the performance here, I'd be thankful.

If the tiles are eventually intended to be solid, one improvement you can make is to turn on back-face culling. This will cause any faces not facing the camera to not be rendered (i.e. one side of each face becomes invisible). For a sphere that means the GPU would only need to render about half the faces.
Combining the object into a single Model may also have a large impact. It may be the difference between 10,000 draw calls and 1 (it depends on how smart that modelBatch object is, as it might do the combining behind the scenes). If the user will sometimes be zoomed pretty close a chunking approach might help so that you can continue doing frustum culling.

Collision detection on a rotated Image

How would you go about detecting collision on a rotated Image in a game? I am making an asteroids game an I cannot figure out how to make the asteroids properly collide with the rotated spaceship.

If the rotated object is one that implements the Shape interface, it may have a useful implementation of the contains() method.

In paint(), as you prepare to draw the in-motion image, check the pixel colors of the destination points and look for the target object's color(s). The in-motion image and the target object must be, of course, different colors.

Pixel-perfect collision detection, ie. collision detection between images, is generally really hard to do efficiently. For that reason, it is generally a good idea to use an existing, optimized library built for that purpose.
Since you also need support for rotated images, I recommend PoxelColl. It supports pixel-perfect collision detection as well as basic transformations such as scaling and rotation. It provides a Scala port, which is compatible with Java.

What exactly are you using for collision boundaries of your asteroid?
Simplest might be that you can just use circles for everything and implement a circle-circle collision detection (just google it). This may not visually pleasing if your images are not very circle like.
Otherwise, if you have rotating rectangles colliding with other rotating rectangles then you'll have to implement an algorithm using Separating Axis Theorem for 2D Rotated Rectangle Collision.
Another option might be pixel perfect collision detection which is what Chuck was talking about. A quick search turned up this forum post. Proceed with caution though, this method's performance degrades with the size of your images.

Collision Detection in Java for a game

Im making a game in Java with a few other people but we are stuck on one part of it, making the collision detection. The game is an RPG and I know how to do the collision detection with the characters using Rectangles, but what I dont know how to do is the collision detection for the maps. What I mean by that is like so the character cant walk over trees or water and that stuff but using rectangles doesnt seem like the best option here.
Well to explain what the game maps are gonna look like, here is an example http://i980.photobucket.com/albums/ae287/gordsmash/7-8.jpg
Now I could use rectangles to get bounds and stop the player from walking over the trees and water but that would take a lot of them.
But is there another easier way to prevent the player from walking over the trees and obstacles besides using Rectangles?

Here's a simple way but it uses more memory and you do the work up front... just create a background collision mask that denotes the permissible areas for characters to walk on in a binary form. You can store that in some sort of compressed bitmap form. The lookup then is very simple and very quick.

Rectangle collision detection seems to make sense; However, alternatively you may also try sphere-sphere collision detection, which can detect collision much quicker. You don't even need a square root for distance computations since you can compare the squared distances to see if the spheres overlap. This is a very fast method, and given the nature of your game could work very well.
ALSO! Assuming you have numerous tiles which you are colliding against, consider some method of spacial partitioning. Let me give you an easy example - subdivide your map into several rectangles (http://www.staff.ncl.ac.uk/qiuhua.liang/Research/Pic_research/mine_grid.jpg) and then depending on which rectangular area your player is currently residing in - check collision only against the tiles which are located within that area.
You may take it a step further - if you have more tiles in any given area than the threshold that you set - subdivide that area further to make more smaller areas within it.
The idea behind such subdivision is called Quadtree, and there is a huge quantity of papers and tutorials on the subject, you'll catch on very quickly.
Please let me know if you have any questions.

There are many solutions to this type of problem, but for what you're doing I believe the best course of action would be to use a tile engine. This would have been commonly used in similar games in the past (think any RPG on the SNES) and it provides you with a quick and easy means of both level/map design and collision detection.
The basic concept of a tile engine is that objects are stored in a 2D array and when your player (or any other moving game entity) attempts to move into a new tile you perform a simple check to see if the object in that tile is passable or not (for instance, if it's grass, the player may move; if it's a treasure chest, the player cannot move). This will greatly simplify checking for collisions (as a naive check of a list of entities will have O(n^2) performance). This picture might give you an idea of what I'm talking about. The lines have been added to illustrate a point, but of course when you're playing the game you don't actively think of everything as being composed of individual 32x32 pixel tiles.
While I don't personally have any experience with tile engines in Java, it looks like Mappy supports Java, and I've heard good things about PulpCore. You're more than welcome to create your own engine, of course, but you have to decide if your effort is better spent reinventing the wheel (but, of course, it will be your wheel then, and that is rather satisfying) or spend your time making a better game.

Collidable color Java/Android game

I'm trying to develop side scrolling game for android involving many many textures so I was thinking if I could create a separate layer, all a single unique color (very similar to a green screen effect) make a collidable and make it invisible to the player.
(foreground layer) visual Image
(2nd layer)collidable copy of foreground layer with main character
(3rd layer)Background image
I not sure if this is possible or how to implement it efficiently, the idea just came to me randomly one day.
Future regards, Thanks

I assume your game is entirely 2D, using either bit-blits or quads (two 3D triangles always screen-aligned) as sprites. Over the years there have been lots of schemes for doing collision detection using the actual image data, whether from the background or the sprite definition itself. If you have direct access to video RAM, reading one pixel position can quickly tell if you've collided or not, giving pixel-wise accuracy not possible with something like bounding boxes. However, there are issues greatly complicating this: figuring out what you've collided with, or if your speed lands you many pixels into a graphical object, or if it is thin and you pass through it, or how to determine an angle of deflection, etc.
Using 3D graphics hardware and quads, you could potentially change render states, rendering in monochrome to an off-screen texture, yielding the 2nd collidable layer you described. Yet that texture is then resident in graphics memory, which isn't freely/easily accessible like your system memory is. And getting that data back/forth over the bus is slow. It's also costly, requiring an entire additional render pass (worst case, halving your frame rate) plus you have all that extra graphics RAM used up... all just to do something like collision-detect. Much better schemes exist, especially using data structures.
It's better to use bounding boxes, or even a hierarchy of sub-bounding boxes. After that, you can determine if you've landed on the other side of, say, a sloped line, requiring only division/addition operations. Your game already manages all the sprites you're moving, so integrate some data structures to help your collision detection. For instance, I just suggested in another thread the use of linked lists to limit the objects you must collision-detect against one another.
Ideas like yours might not always work, but your continual creative thinking will lead to ones that do. Sometimes you just have to try coding them to find out!