scan-line filling, differentiating between intersection points and peaks - java

I'm applying the scan-line algorithm to fill in a randomly generated continent-like shape. The main problem I'm having is when the line intersects a point that is a tip. I created some images to help visualize this.
http://i.stack.imgur.com/OlbI5.png
http://i.stack.imgur.com/RACF1.png
I basically need help figuring out how to differentiate if an intersection point is a "tip" or not. Like in the first image, since both are tips, I end up with a line in between them, even though the line is outside of the continent-shape.

try checking to the immediate left and the right of the intersection. If they're both below the red line, than it's a tip.
That's the best i can do without knowing more about how the lines are defined.

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Check if the mouse is over a circle - Java

I have an array with the coordinates of the center of small circles which have the same radius. I know how to find when the mouse is over a circle, but my array is big and I want the fastest way to calculate this operation.
Is there a way of finding if the mouse is over a circle without looping all the array for each movement of the mouse?
Initially, set up some 'zones' for quicker reference:
Separate the whole surface into a small number of rectangles that don't intersect.
For each of these rectangles, list all circles that are at least partially contained in it. (A circle may end up listed in multiple rectangles, but that's okay.)
Every time you want to check whether the mouse is over a circle, you won't have to go through the whole array of circles. Instead:
Figure out which rectangle you're in.
Check only the circles that are listed under that rectangle.
This looks like a problem of optimizing the boundary check for a large number of items. The approach of going linearly does not scale well for thousands of circles.
This is a good topic to read on the net. But first, without going there, I'll try to explain (as an exercise) what I would explore. I would create a binary tree and partition the space, then instead of using an array I would put the circle points in such a tree. Looking the tree elements that are closer to the actual X,Y location becomes a matter of doing a binary search on the tree. The you have the closest point as a result of that search and can check for collision on it. There is still more to be done to the algorithm, and further optimizations are needed. For example, how to check for more points and not only the final one? Potentially I need a tree for the X coordinate, and another for the Y coordinate, etc... But I would explore these ideas. I will come back to this post and expand my reply with an actual example and a more concrete solution.
What if you check the coordinates that are r(radius) distance from the mouse? Then you could narrow your search down in the array if it is ordered.

How do I make the line always go through the points?

I'm drawing a graph with achartengine. I'm still working on the display, but one thing that's caught my eye already is that the graph lines don't go through the points, they take some path that roughly traces their shape:
How can I make my lines always go through my points?
I was looking in the wrong places (Renderers) for a solution, in the end I noticed I was using a ChartFactory.getCubeLineChartView, changed to ChartFactory.getLineChartView and all is good.

Simple java game: Filling up figures drawn by a moving cursor

So I'm doing the project of an introduction to Java course and it seems that I chose something that goes way beyond what I'm able to do. :P
Any help would be greatly appreciated. This is what I'm having problems with:
You have a cursor that is controlled by a player (goes forward or
turns 90°) which leaves a colored line as it goes. If you manage to go
over your own line and close a polygon of any shape (only right angles
though), its surface changes color into the color of your line.
I can detect when this situation arises but I am kind of lost as how to actually fill the correct polygon just closed. I can't seem to imagine an algorithm that would cover any case possible.
I looked at the Scanline fill algorithm but I think it would start having problems by the time there are already some polygons already filled in the map.
The Floodfill algorithm would be perfect if I had a way of finding a point inside the polygon, but, as there are many different possibilities, I can't think of a general rule for this.
I'm using an array 2x2 of integers where each color is represented by a number.
Does anyone have an idea on how to approach this problem?
If you can detect the situation then this can be solved in very simple manner. The question is which point to choose as start point for floodfill. The simple answer is: try all of them. Of course it makes a sense to start only with points adjacent to the one where your cursor is located. In this case you will have at most 8 points to check. Even better - at least 2 of them are definitely painted already if current point forms a polygon.
So you have 8 points to check. Launch floodfill 8 times starting from each of those points.
Two things which you probably should keep in mind:
You should try filling the area in cloned version of your field in order to be able to get back if floodfill will not find a polygon.
Launching floodfill second time and later you should reuse this cloned version of your field to see whether it was filled there. This will allow you to check every point at most once and this will make your 8 floodfills almost as fast as 1 floodfill.
Check this question, using Graphics2 and Polygon to fill an arbitrary polygon: java swing : Polygon fill color problem
Finding out whether a point is inside or outside a polygon: http://en.wikipedia.org/wiki/Point_in_polygon
Make sure you use double buffering. If you set individual pixels and don't use double buffering the component may redraw after every pixel was set.

Drawing a line connecting two rectangles

I am making my own class diagram app in Swing/AWT but i stopped at this functionality:
I want to draw a line between the Class rectangle that already selected and to the target Class rectangle, but line has a feature which is whenever i move one of the rectangles the line that join them get bend in a straight fashion following the moving rectangle , i hope the following picture demonstrate what i want to achieve:
A general guideline or a sample code is highly appreciated
I don't know Java, but the steps you could follow are these:
Find the middle of each line of the rectangles (should be easy, just avarage x1+x2 and y1+y2)
Determine the edges that are closest to each other using Pythagoras formula on the points you got in the previous step.
Start drawing a line starting at xa,ya (first point you got in the step above), and draw it in the direction away from the rectangle. You should know this direction, because you can know the line segment this point is on.
Do the same for xb,yb (point on the second rectangle). If the lines are in opposite directions, you should draw them to halfway xa-xb or ya-yb (depending on if you're drawing horizontally or vertically). If they are perpendicular (is that the right word?) you should draw them to the point where they cross, so you draw the line from xa,ya to xa,yb or xa,ya to xb, ya, depending if you draw the horizontal or vertical line.
There should be some additional check to see if the rectangles overlap. You should not draw lines in the same direction for example. Maybe it would suffice for you to draw just a diagonal line between the two points in those cases where you cannot determine how to draw these straight lines.
For the implementation you could build a line class that uses the observer pattern to listen to the two rectangles it follows, so it can update itself whenever one of them moves or resizes.
http://java-sl.com/connector.html
Hope this helps.
Try with observer pattern. All lines that are connected with a moving object should be notified with new position of the object and 'bent' properly. Of course, first implement some logic that will connect 2 objects.
try creating a class named "ConnectingLine" or similar. this class will then have several segments (that's the name of these line parts in dia, which is currently my favorite uml modeling tool) which will be calculated one by one. you'll have a sepaparate class for this of course ;) called maybe "LineSegment". i think this should make it easier for you to perform the mathematical calculations required to perform this task.
this could also enable making segments "auto routed or not" easy d(^_^)b

point in polygon in sphere,

My question is, will the code given in http://pietschsoft.com/post/2008/07/Virtual-Earth-Polygon-Search-Is-Point-Within-Polygon.aspx work to find a point in one of areas mentioned in
below file (page 7-9):
http://www.weather.gov/directives/sym/pd01008006curr.pdf
looking forward,
A point-in-polygon algorithm usually just counts the number of times it crosses a line by "drawing" one out in any particular direction. It would then know if it's in the polygon or not by knowing how many times it crossed that line (even number it was outside, odd number it is inside). The code on that site looks like it just flips a boolean instead of adding to a counter but it's the same thing.
I must confess I have not read the PDF you linked too (too long!) but I've not come across an instance where the algorithm fails.
One tip might be to draw a rough square around the outermost extremeties of the polygon first and check whether it falls within that to avoid having to test each point).
I believe it will fail in some cases. The algorithm you linked to, which is correct for planar geometry, is incorrect for spherical geometry. Consider the rectangles which cross the 180th meridian, e.g. the rectangle labelled "M". The algorithm would consider that rectangle as covering the americas, Africa, and Europe, but not Asia or the Pacific.

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