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Reading a wedge area of Circular bitmap in c#

I am working on a program that takes a Bitmap and converts it into circular form. The code is as follows:
public static Image CropToCircle(Image srcImage, Color backGround)
{
Image dstImage = new Bitmap(srcImage.Width, srcImage.Height, srcImage.PixelFormat);
Graphics g = Graphics.FromImage(dstImage);
using (Brush br = new SolidBrush(backGround)) {
g.FillRectangle(br, 0, 0, dstImage.Width, dstImage.Height);
}
GraphicsPath path = new GraphicsPath();
path.AddEllipse(0, 0, dstImage.Width, dstImage.Height);
g.SetClip(path);
g.DrawImage(srcImage, 0, 0);
return dstImage;
}
It returns the image in circular shape; however I need to read an image wedge in the form of degrees; that is, the circle has 360 degrees and I am trying to write a function that will accept a degree (e.g. 10) and will return the pixels of the image that fall in 10th degree. Such that entire image will be readable in 1 to 360 degrees.

Since my hint was actually rather misleading, let me make up by giving you a working code:
// collect a list of colors from a bitmap with a cetner c and radius r
List<Color> getColorsByAngle(Bitmap bmp, Point c, int r, float angle)
{
List<Color> colors = new List<Color>();
for (int i = 0; i < r; i++)
{
int x = (int)(Math.Sin(angle / 180f * Math.PI) * i);
int y = (int)(Math.Cos(angle / 180f * Math.PI) * i);
colors.Add(bmp.GetPixel(c.X + x, c.Y + y));
}
return colors;
}
Here it is at work:
(The gif is rather quantized for size..)
Note that
Pixels close to the center will be read multiple time, the center itself even each time
To collect all outer pixels you need to read as many angles as the circumference of the circle has pixels, ie 2 * PI * radius. So for a circle with a radius of 300 pixels you need to step the angle in 360° / (600 * 3.14) or about 0.2°..
Also note the the coordinate systems in GDI and in geometry are not the same, neither in the direction of the axes nor the angles. Adapting this is left for you..
The original version didn't mention a 'wedge area'. To read an area or the whole image simply loop over an angle range in suitable steps!

Math: Mercator Projection Convert 360 video pixel coordinate to sphere surface coordinate

I was trying to map the 360 video pixel coordinate to sphere surface coordinate but I couldn't get right result... It just mapped to the wrong position I already know the points of the XY data for 360 video pixels.
how map 2d grid points (x,y) onto sphere as 3d points (x,y,z)
I checked this link and I copied method from this but what I'm getting is not mapped to the desired position.
How can I get radius from the pixels?
I am not sure if I'm passing right radius for imageRadius but I thought it will be circumference/PI to get radius and the video ratio is 4096x2048. I also tried to pass the number 1 because UV is 0-1 but it was not right...
Is Method wrong?
Maybe the method is wrong. I passed random numbers into the imageRadius but couldn't get the right position... If I make X to negative number the seems like little bit closer to result....?
Current Result
https://youtu.be/t0I7Hlb-tbk
It mapped to up right position with the method that I found online...
Project File
https://drive.google.com/a/swordfish-sf.com/file/d/0B45RYzVs0t0_VVdaaHdmNHRWTk0/view?usp=sharing
If somebody can check the Unity project file that will be great...
Current Code
public class mapScript : MonoBehaviour {
public int input = 4098;
float imageRadius = 4098f / Mathf.PI; //2098? 3072? 4098?
float radius;
public GameObject testSphere;
void Start () {
radius = this.transform.localScale.x;
}
void Update () {
imageRadius = input / Mathf.PI;
int currentFrame = (int)this.GetComponent<VideoPlayer>().frame;
testSphere.transform.position = MercatorProjection(mapVals[currentFrame,0],mapVals[currentFrame,1]);
}
Vector3 MercatorProjection(float xVal, float yVal)
{
float lon = (xVal / imageRadius);
float lat = (2 * Mathf.Atan(Mathf.Exp(yVal / imageRadius)) - Mathf.PI / 2);
float calcX = radius * Mathf.Cos(lat) * Mathf.Cos(lon);
float calcY = radius * Mathf.Cos(lat) * Mathf.Sin(lon);
float calcZ = radius * Mathf.Sin(lat);
Vector3 result = new Vector3(calcX,calcY,calcZ);
Debug.Log(result);
return result;
}
float[,] mapVals = new float[,] {
{1969.21f, 928.625f},
{1969.6f, 928.533f},
{1968.92f, 928.825f},
{1968.68f, 929f},
{1968.47f, 929.067f},
{1968.41f, 929.025f},
{1968.48f, 928.992f},
....
};
}
Thank you.

As a side note, the radius is arbitrary. The pixel coordinates only map to the directional coordinates (polar [θ] and azimuthal [ϕ] angles).
We can do this by mapping each pixel to equal θ and ϕ intervals. The diagram below illustrates a low-resolution setup:
Let us adopt the convention that, for an image of with W, ϕ = 0 corresponds to:
Even W: half way between X = floor((W - 1) / 2) and X = ceil((W - 1) / 2)
Odd W: in the middle of the pixel column at X = floor((W - 1) / 2)
The pixel row at Y maps to the equilatitudinal line at θ = (Y + 0.5) / H * π.
To map all pixels in their entirety, let X start at -0.5 instead of 0, and end at W - 0.5; likewise for Y. Since integer coordinates map to the centers of the pixel regions shown above, this allows the whole area of any particular pixel to be addressed. You may need this later on if you plan on doing multi-sampling filtering for e.g. anti-aliasing.
Code:
Vector3 Mercator(float x, float y, int w, int h)
{
// outside of valid pixel region
if (x < -0.5f || x >= w - 0.5f || y < -0.5f || y >= h - 0.5f)
return new Vector3();
float theta = (y + 0.5f) / h * Math.PI;
float phi = ((x + 0.5f) / w - 0.5f) * 2.0 * Math.PI;
float c_t = Math.Cos(theta);
return new Vector3(c_t * Math.Cos(phi), c_t * Math.Sin(phi), Math.Sin(theta));
}
... and multiply the resulting direction vector by any "radius" you like, since it has (basically) nothing to do with the mapping anyway.

Drawing sets of coordinates to pixels so they mutually scale

So I have a List<object> of longitude and latitude coordinates of two points, and I need to connect the line between them. The trick is to display all of the lines within a panel so that they are scaled within the panel's dimensions (converting coordinate numbers to match the pixels) and I almost got it. However I'm confounded by some unknown problem. The code is:
int canvasWidth = panel1.Width,
canvasHeight = panel1.Height;
var minX1 = tockeKoordinate.Min(x => x.startX);
var minX2 = tockeKoordinate.Min(x => x.endX);
var minX = Math.Min(minX1, minX2);
var maxX1 = tockeKoordinate.Max(x => x.startX);
var maxX2 = tockeKoordinate.Max(x => x.endX);
var maxX = Math.Max(maxX1, maxX2);
var maxY1 = tockeKoordinate.Max(x => x.startY);
var maxY2 = tockeKoordinate.Max(x => x.endY);
var maxY = Math.Max(maxY1, maxY2);
var minY1 = tockeKoordinate.Min(x => x.startY);
var minY2 = tockeKoordinate.Min(x => x.endY);
var minY = Math.Min(minY1, minY2);
double coordinatesWidth = Math.Abs(maxX - minX),
coordinatesHeight = Math.Abs(maxY - minY);
float coefWidth = (float)coordinatesWidth / canvasWidth,
coefHeight = (float)coordinatesHeight / canvasHeight;
Basically I check the List for minimum and maximum XY coordinates, so I know what the extreme values are. Then I use a coeficient value to recalculate the coords in pixels so that are within the panel. When I use this:
drawLine(Math.Abs((float)(line.startX - minX) / coefWidth),
Math.Abs((float)(line.startY - minY) / coefHeight),
Math.Abs((float)(line.endX - maxX) / coefWidth),
Math.Abs((float)(line.endY - maxY) / coefHeight));
which is in foreach loop that iterates trough all the elements from the List . The drawline() method is as follows:
private void drawLine(float startX, float startY, float endX, float endY)
{
PointF[] points =
{
new PointF(startX, startY),
new PointF(endX, endY),
};
g.DrawLine(myPen, points[0], points[1]);
}
WHen all of this is put together, I get this picture:
I know for a fact that the "lines" should be connected and form shapes, in this case they represent roads in a suburban area.
I figured that it treats every coordinate set like it is the only one and then scales it to the panel dimensions. Actually it should scale it in reference to all of the other coordinates
It should "zoom" them out and connect with each other, because that is the way I defined the panel dimensions and everything else.
EDIT: ToW's solution did the trick, with this line of code changed to use my List:
foreach (var line in tockeKoordinate)
{
gp.AddLine((float)(line.startX), (float)(line.startY), (float)(line.endX), (float)(line.endY));
gp.CloseFigure();
}
End result when working properly:

As far as I can see your best bet would be to add all those lines to a GraphicsPath.
After it is complete you can look at its bounding rectangle and compare it to the size your Panel offers.
Then you can calculate a scale for the Graphics object to draw with and also a translation.
Finally you draw the lines with Graphics.DrawPath.
All with just 2 division on your side :-)
Here is an example:
private void panel1_Paint(object sender, PaintEventArgs e)
{
Graphics G = e.Graphics;
Random R = new Random(13);
GraphicsPath gp = new GraphicsPath();
for (int i = 0; i < 23; i++)
{
gp.AddLine(R.Next(1234), R.Next(1234), R.Next(1234), R.Next(1234));
gp.CloseFigure(); // disconnect lines
}
RectangleF rect = gp.GetBounds();
float scale = Math.Min(1f * panel1.Width / rect.Width,
1f * panel1.Height / rect.Height);
using (Pen penUnscaled = new Pen(Color.Blue, 4f))
using (Pen penScaled = new Pen(Color.Red, 4f))
{
G.Clear(Color.White);
G.DrawPath(penUnscaled, gp);
G.ScaleTransform(scale, scale);
G.TranslateTransform(-rect.X, -rect.Y);
G.DrawPath(penScaled, gp);
}
}
A few notes:
The blue lines do not fit onto the panel
The red lines are scaled down to fit
The Pen is scaled along with the rest of the Graphics but won't go under 1f.
To create connected lines do add a PointF[] or, more convenient a List<PointF>.ToArray().
I really should have used panel1.ClientSize.Width instead of panel1.Width etc..; now it is off a tiny bit at the bottom; bad boy me ;-)

DrawEllipse from two joint (Point, or rather X and Y coordinates)

I'm looking to show skeleton by ellipse and not by line. I have two Point with coordinates for X and Y.
When i want to draw an ellipse i need
public abstract void DrawEllipse(
Brush brush,
Pen pen,
Point center,
double radiusX,
double radiusY
)
so i have tried with this code but there is some error(don't know radiusY):
double centerX = (jointPoints[jointType0].X + jointPoints[jointType1].X) / 2;
double centerY = (jointPoints[jointType0].Y + jointPoints[jointType1].Y) / 2;
double radiusX =Math.Sqrt( (Math.Pow((jointPoints[jointType1].X - jointPoints[jointType0].X), 2)) + (Math.Pow((jointPoints[jointType1].Y - jointPoints[jointType0].Y), 2)));
drawingContext.DrawEllipse(null, drawPen, new Point(centerX, centerY), radiusX, radiusX/5);
Can anyone help me?
private void DrawBone(IReadOnlyDictionary<JointType, Joint> joints, IDictionary<JointType, Point> jointPoints, JointType jointType0, JointType jointType1, DrawingContext drawingContext, Pen drawingPen,List<JointType> badJoint)
{
Joint joint0 = joints[jointType0];
Joint joint1 = joints[jointType1];
// If we can't find either of these joints, exit
if (joint0.TrackingState == TrackingState.NotTracked ||
joint1.TrackingState == TrackingState.NotTracked)
{
return;
}
// We assume all drawn bones are inferred unless BOTH joints are tracked
Pen drawPen = this.inferredBonePen;
if ((joint0.TrackingState == TrackingState.Tracked) && (joint1.TrackingState == TrackingState.Tracked))
{
drawPen = drawingPen;
}
//If a bone makes parts of an one bad angle respect reference angle
if (badJoint.Contains(jointType0) && badJoint.Contains(jointType0))
drawPen = new Pen(Brushes.Red, 6);
drawingContext.DrawLine(drawPen, jointPoints[jointType0], jointPoints[jointType1]);

You cannot (just) use the DrawEllipse method, because that will always draw horizontal or vertical elipses.
Use this code to implement the rotation: https://stackoverflow.com/a/5298921/1974021 and write a method that takes the following input parameters:
Focalpoint1
FocalPoint2
Radius
As an ellipse can be described by both focal points and a (combined) radius. If you use the focal points, the ellipsis will overlap at the joints to create a circle-like pattern at each joint. Is that about what you want? (It is even easier if you only want them to touch at the joint)
Okay, it's actually not the focal point but the center of the osculating circle. Try this method:
private static void DrawEllipse(Pen pen, Graphics g, PointF pointA, PointF pointB, float radius)
{
var center = new PointF((pointA.X + pointB.X) / 2, (pointA.Y + pointB.Y) / 2);
var distance = GetDistance(pointA, pointB);
// The axis are calculated so that the center of the osculating circles are conincident with the points and has the given radius.
var a = radius + distance / 2; // Semi-major axis
var b = (float)Math.Sqrt(radius * a); // Semi-minor axis
// Angle in degrees
float angle = (float)(Math.Atan2(pointA.Y - pointB.Y, pointA.X - pointB.X) * 180 / Math.PI);
using (Matrix rotate = new Matrix())
{
GraphicsContainer container = g.BeginContainer();
rotate.RotateAt(angle, center);
g.Transform = rotate;
g.DrawEllipse(pen, center.X-a, center.Y-b, 2 * a, 2 * b);
g.EndContainer(container);
}
}
private static float GetDistance(PointF a, PointF b)
{
var dx = a.X - b.X;
var dy = a.Y - b.Y;
return (float)Math.Sqrt(dx * dx + dy * dy);
}

Draw 2D trail of ship. XNA

I've been looking for a solution to this for some time now and already have many elements to work with but not really how to piece them together.
Objective: Draw a trail for the player's ship.
So far: Since the ship's direction is unpredictable I have only the previous positions of the player's ship to work with. To draw the trail I could simply draw a pixel (or a texture) at the previous position of the player but this is memory expensive and it doesn't draw curves, it won't achieve a pleasing to the eye curved effect.
I've been looking into Beziers Paths and Cathmull Rom for solutions.
Now I can get the control points for a given point, then from 2 points and 2 control points calculate a curve, from here I make an array of VertexPositionColor with a distance between points to make a triangleStrip from the curve.
These are the main functions I have so far:
public Vector2[] GetControlPoints(Vector2 p0, Vector2 p1, Vector2 p2, float tension = 0.5f)
{
// get length of lines [p0-p1] and [p1-p2]
float d01 = Vector2.Distance(p0, p1);
float d12 = Vector2.Distance(p1, p2);
// calculate scaling factors as fractions of total
float sa = tension * d01 / (d01 + d12);
float sb = tension * d12 / (d01 + d12);
// left control point
float c1x = p1.X - sa * (p2.X - p0.X);
float c1y = p1.Y - sa * (p2.Y - p0.Y);
// right control point
float c2x = p1.X + sb * (p2.X - p0.X);
float c2y = p1.Y + sb * (p2.Y - p0.Y);
return new Vector2[] {new Vector2(c1x, c1y), new Vector2(c2x, c2y) };
}
// Given 2 points and 2 control points
public static VertexPositionColor[] bezierCurve(Vector2 start, Vector2 end, Vector2 c1, Vector2 c2)
{
VertexPositionColor[] points = new VertexPositionColor[SUBDIVISIONS + 2];
float fraction;
for (int i = 0; i < SUBDIVISIONS + 2; i++)
{
fraction = i * (1f / (float)SUBDIVISIONS);
points[i] = new VertexPositionColor(new Vector3((float)((start.X * Math.Pow((1 - fraction), 3))
+(c1.X * 3 * fraction * Math.Pow(1-fraction, 2))
+(c2.X * 3 * Math.Pow(fraction,2) * (1-fraction))
+(end.X * Math.Pow(fraction,3))),
(float)((start.Y * Math.Pow((1 - fraction), 3))
+ (c1.Y * 3 * fraction * Math.Pow(1 - fraction, 2))
+ (c2.Y * 3 * Math.Pow(fraction, 2) * (1 - fraction))
+ (end.Y * Math.Pow(fraction, 3))), 0), UNLIT);
}
return points;
}
/*
* This function treats the curve as a series of straight lines and calculates points on a line perpendicular to each point, resulting in two points THICKNESS appart.
* Requires THICKNESS to be set
*/
public static VertexPositionColor[] curveToStrip(VertexPositionColor[] curve)
{
VertexPositionColor[] strip = new VertexPositionColor[curve.Length * 2];
VertexPositionColor[] new1 = new VertexPositionColor[curve.Length];
VertexPositionColor[] new2 = new VertexPositionColor[curve.Length];
for (int i = 0; i < curve.Length; i++)
{
if (i < curve.Length-1)
{
Vector2 p1 = new Vector2(curve[i].Position.X, curve[i].Position.Y);
Vector2 p2 = new Vector2(curve[i + 1].Position.X, curve[i + 1].Position.Y);
Vector2 perpPoint = perpendicularPoint(p1, p2);
new1[i] = new VertexPositionColor(new Vector3(distanceToPoint(p1, perpPoint, THICKNESS / 2), 0), UNLIT);
new2[i] = new VertexPositionColor(new Vector3(distanceToPoint(p1, perpPoint, -1 * THICKNESS / 2), 0), UNLIT);
}
else
{
Vector2 p1 = new Vector2(curve[i].Position.X, curve[i].Position.Y);
Vector2 p2 = new Vector2(curve[i - 1].Position.X, curve[i - 1].Position.Y);
Vector2 perpPoint = perpendicularPoint(p1, p2);
new1[i] = new VertexPositionColor(new Vector3(distanceToPoint(p1, perpPoint, -1 * THICKNESS / 2), 0), UNLIT);
new2[i] = new VertexPositionColor(new Vector3(distanceToPoint(p1, perpPoint, THICKNESS / 2), 0), UNLIT);
}
}
I thought about calling the functions on the draw phase but this seems very expensive just to make a tiny curve and to draw a bigger Beziers path I imagine it worse. Since I would get a point at each frame, each function would be called to calculate the curve between points just to draw 1 curve of 3 pixels (or less).
How can I proceed? Any suggestions?
I am still a beginner on this kind of stuff!
All this I got from several sources:
CathmullRom
Beziers and Triangle strip

http://www.imagehosting.cz/images/trails.gif
I will just briefly explain how this works:
It is function that receives position, it is called each time you want add next segment of trail.
When function is called it adds two vertices on position, look at tangent vector from previous step, creates normal vector to current position and place vertices along that normal according to trail width.
Next it looks to at previous two vertexes and align them according to average of current and previous tangent, creating trapezoid.
I suggest to leave calculation of fading on GPU (effectively using approach of GPU particles).
If you know velocity vector of object when you are calling update of trail you can use it to optimize that algorithm. Use of dynamic vertex buffer is probably without saying (just use your own vertex format that will include current time at moment when you create those vertices so you can fade it on GPU).

One way could be that you create a list of trails/particles, and you init that on every frame or how much you like. i will try to explain in pseudo code below. i also rotate a bit every trail, and use different size and color of smoke texture, and added a bit of ofsset +- 5 pixels on init.
class Trail
position as vector2d
duration as single
velocity as vector2d
fade as integer = 1
active = true
end class
class Trails
inherits list of Trail
sub Init(position as vector2d, velocity as vector2d)
// add trail to list
end sub
sub Update()
for each trail in me.findAll(function(c) c.active))
position += velocity
fade -= .05 // or some value
end for
me.removeAll(function(c) not(c.active)) // remove from list when unused
end sub
sub Draw()
for each trail in me.findAll(function(c) c.active))
draw(smokeTexture, position, size, rotate, color * trail.fade)
end for
end sub
end class
by this i have achieved this effect, it's barely visible but it gives effect.