// создание треугольниов с помощью z буфера
public static void createTriangleWithZBuffer(clsPolygon polygon, cls2D_Picture image, clsRGB colour, clsZbuffer zBuffer)
{
minimalX = functionMinimumX(polygon);
maximalX = functionMaximumX(polygon, image);
minimalY = functionMinimumY(polygon);
maximalY = functionMaximumY(polygon, image);
clsBarycentricCoordinates barycentricPoint = new clsBarycentricCoordinates(polygon);
for (int x = minimalX; x < maximalX; x++)
{
for (int y = minimalY; y < maximalY; y++)
{
barycentricPoint.Calculating_lambda_coefficients(new cls3D_Point(x, y));
if (barycentricPoint.Lambda0 >= 0 && barycentricPoint.Lambda1 >= 0 && barycentricPoint.Lambda2 >= 0)
{
double z = barycentricPoint.Lambda0 * polygon[0].Z + barycentricPoint.Lambda1 * polygon[1].Z + barycentricPoint.Lambda2 * polygon[2].Z;
if (z < zBuffer.getZBuffer(x, y))
{
zBuffer.setZBuffer(x, y, z);
image.setPixel(x, y, colour);
}
}
}
}
}
// улучшенный первый алгоритм
public static void line3(int x0, int y0, int x1, int y1, cls2D_Picture image, clsRGB color)
{
bool steep = false;
if (Math.Abs(x0 - x1) < Math.Abs(y0 - y1))
{
swap(ref x0, ref y0);
swap(ref x1, ref y1);
steep = true;
}
if (x0 > x1)
{
swap(ref x0, ref x1);
swap(ref y0, ref y1);
}
for (int x = x0; x <= x1; x++)
{
float t = (x - x0) / (float)(x1 - x0);
int y = Convert.ToInt32(y0 * (1 - t) + y1 * t);
if (steep)
{
image.setPixel(y, x, color);
}
else
{
image.setPixel(x, y, color);
}
}
}
public static int functionMaximumX(clsPolygon poligon, cls2D_Picture Picture)
{
maximalX = Math.Max(Math.Max(poligon[0].X, poligon[1].X), poligon[2].X);
if (maximalX > Picture.width)
{
maximalX = Picture.width;
}
return(maximalX);
}
// простейший алгоритм отрисовки линии
public static void line1(int x0, int y0, int x1, int y1, cls2D_Picture image, clsRGB color)
{
for (float t = 0.0F; t < 1.0F; t += 0.01F)
{
int x = Convert.ToInt32(x0 * (1 - t) + x1 * t);
int y = Convert.ToInt32(y0 * (1 - t) + y1 * t);
image.setPixel(x, y, color);
}
}
// модифицированный вариант
public static void line2(int x0, int y0, int x1, int y1, cls2D_Picture image, clsRGB color)
{
for (int x = x0; x <= x1; x++)
{
float t = (x - x0) / (float)(x1 - x0);
int y = Convert.ToInt32(y0 * (1 - t) + y1 * t);
image.setPixel(x, y, color);
}
}
public static int funcMaximumY(clsPolygonModified poligon, cls2D_Picture Picture)
{
maximalY = (int)Math.Max(Math.Max(poligon[0].projectiveY, poligon[1].projectiveY), poligon[2].projectiveY);
if (maximalY > Picture.height)
{
maximalY = Picture.height;
}
return(maximalY);
}
public static int funcMaximumX(clsPolygonModified poligon, cls2D_Picture Picture)
{
maximalX = (int)Math.Max(Math.Max(poligon[0].projectiveX, poligon[1].projectiveX), poligon[2].projectiveX);
if (maximalX > Picture.width)
{
maximalX = Picture.width;
}
return(maximalX);
}
public static int functionMaximumY(clsPolygon poligon, cls2D_Picture Picture)
{
maximalY = Math.Max(Math.Max(poligon[0].Y, poligon[1].Y), poligon[2].Y);
if (maximalY > Picture.height)
{
maximalY = Picture.height;
}
return(maximalY);
}
public static cls2D_Picture drawTopsFromObjectFile(List <cls3D_Point> points)
{
cls2D_Picture pointsImage = new cls2D_Picture(1800, 1500); // создаем фон изображения
for (int i = 0; i < points.Count - 1; i++)
{
cls3D_Point temp = points[i];
pointsImage.setPixel(temp.X, temp.Y, new clsRGB(255, 0, 0)); // рисуем ранее записанные точки
}
return(pointsImage);
}
// отрисовка треугольниками
public static cls2D_Picture drawTriangle()
{
cls2D_Picture polygonsImage = new cls2D_Picture(1700, 1500);
Random random = new Random();
for (int i = 0; i < clsLoadData.polygonsForLineTrans.Count - 1; i++)
{
createTriangle(clsLoadData.polygonsForLineTrans[i], polygonsImage, new clsRGB(random.Next(0, 255), random.Next(0, 255), random.Next(0, 255)));
}
return(polygonsImage);
}
public static cls2D_Picture drawLine(int j) // отрисовка линий
{
cls2D_Picture imageLines = new cls2D_Picture(200, 200);
switch (j) // выбор алгоритма
{
case 1:
{
for (int i = 0; i < 13; i++)
{
double alpha = 2 * i * Math.PI / 13;
clsAlgorithmDrawLine.line1(100, 100, Convert.ToInt32(100 + 95 * Math.Cos(alpha)), Convert.ToInt32(100 + 95 * Math.Sin(alpha)),
imageLines, new clsRGB(255, 0, 0));
}
};
break;
case 2:
{
for (int i = 0; i < 13; i++)
{
double alpha = 2 * i * Math.PI / 13;
clsAlgorithmDrawLine.line2(100, 100, Convert.ToInt32(100 + 95 * Math.Cos(alpha)), Convert.ToInt32(100 + 95 * Math.Sin(alpha)),
imageLines, new clsRGB(255, 0, 0));
}
};
break;
case 3:
{
for (int i = 0; i < 13; i++)
{
double alpha = 2 * i * Math.PI / 13;
clsAlgorithmDrawLine.line3(100, 100, Convert.ToInt32(100 + 95 * Math.Cos(alpha)), Convert.ToInt32(100 + 95 * Math.Sin(alpha)),
imageLines, new clsRGB(255, 0, 0));
}
};
break;
case 4:
{
for (int i = 0; i < 13; i++)
{
double alpha = 2 * i * Math.PI / 13;
clsAlgorithmDrawLine.line4(100, 100, Convert.ToInt32(100 + 95 * Math.Cos(alpha)), Convert.ToInt32(100 + 95 * Math.Sin(alpha)),
imageLines, new clsRGB(255, 0, 0));
}
};
break;
}
return(imageLines); // возврат изображения
}
// преобразование картинки в формат Bitmap
public static Bitmap picture2DtoBitmap(cls2D_Picture image2D)
{
Bitmap result = new Bitmap(image2D.Width, image2D.Height);
for (int x = 0; x < image2D.Width; x++)
{
for (int y = 0; y < image2D.Height; y++)
{
result.SetPixel(x, y, ColorRGBtoColor(image2D.getColor(x, y)));
}
}
return(result);
}
public static cls2D_Picture drawPolygonsFromObjectFile(List <clsPolygon> polygons)
{
cls2D_Picture polygonsImage = new cls2D_Picture(1800, 1500); // фон
for (int i = 0; i < polygons.Count - 1; i++) // рисуем полигон по алгоритму Брезенхема
{
clsPolygon poligonchik = polygons[i];
clsAlgorithmDrawLine.line4(poligonchik[0].X, poligonchik[0].Y, poligonchik[1].X, poligonchik[1].Y, polygonsImage, new clsRGB(0, 0, 255));
clsAlgorithmDrawLine.line4(poligonchik[0].X, poligonchik[0].Y, poligonchik[2].X, poligonchik[2].Y, polygonsImage, new clsRGB(0, 0, 255));
clsAlgorithmDrawLine.line4(poligonchik[1].X, poligonchik[1].Y, poligonchik[2].X, poligonchik[2].Y, polygonsImage, new clsRGB(0, 0, 255));
}
return(polygonsImage);
}
// отрисовка треуголниками с помощью z буфера объемного изображения
public static cls2D_Picture drawTriangleWithZBuffer()
{
cls2D_Picture polygonsImage = new cls2D_Picture(1700, 1500);
clsZbuffer zBuffer = new clsZbuffer(1700, 1500);
for (int i = 0; i < clsLoadData.polygonsForLineTrans.Count - 1; i++)
{
createTriangleWithZBuffer(clsLoadData.polygonsForLineTrans[i], polygonsImage,
new clsRGB((int)Math.Abs(clsVectorsOperations.cosDirectionEarthNormal(clsLoadData.polygonsForLineTrans[i]) * 128),
(int)Math.Abs(clsVectorsOperations.cosDirectionEarthNormal(clsLoadData.polygonsForLineTrans[i]) * 128), 0), zBuffer);
}
return(polygonsImage);
}
// отрисовка красного квадрата
public static cls2D_Picture createRedImage()
{
cls2D_Picture redImage = new cls2D_Picture(widht, height);
for (int i = 0; i < widht; i++)
{
for (int j = 0; j < height; j++)
{
redImage.setPixel(i, j, new clsRGB(255, 0, 0));
}
}
return(redImage);
}
public static cls2D_Picture drawTriangleWithZBufferForTransformationWithModifiedLight()
{
cls2D_Picture polygonsImage = new cls2D_Picture(5000, 5000);
clsZbuffer zBuffer = new clsZbuffer(5000, 5000);
for (int i = 0; i < clsLoadData.polygonsForTransformation.Count; i++)
{
if (clsVectorsOperations.getCosNormal(clsLoadData.polygonsForTransformation[i]) < 0)
{
createTriangleWithZBufferForTransformationWithModifiedLight(clsLoadData.polygonsForTransformation[i], clsLoadData.normPolygons[i], polygonsImage, zBuffer, i);
}
else
{
continue;
}
}
return(polygonsImage);
}
// отрисовка треугольниками объемного изображения
public static cls2D_Picture drawVolTriangle()
{
cls2D_Picture polygonsImage = new cls2D_Picture(1700, 1500);
Random random = new Random();
for (int i = 0; i < clsLoadData.polygonsForLineTrans.Count - 1; i++)
{
if (clsVectorsOperations.cosDirectionEarthNormal(clsLoadData.polygonsForLineTrans[i]) < 0)
{
createTriangle(clsLoadData.polygonsForLineTrans[i], polygonsImage,
new clsRGB((int)Math.Abs(clsVectorsOperations.cosDirectionEarthNormal(clsLoadData.polygonsForLineTrans[i]) * 255), 0, 0));
}
else
{
continue;
}
}
return(polygonsImage);
}
// создание треугольников
public static void createTriangle(clsPolygon polygon, cls2D_Picture image, clsRGB colour)
{
minimalX = functionMinimumX(polygon);
maximalX = functionMaximumX(polygon, image);
minimalY = functionMinimumY(polygon);
maximalY = functionMaximumY(polygon, image);
clsBarycentricCoordinates barycentricPoint = new clsBarycentricCoordinates(polygon);
for (int x = minimalX; x < maximalX; x++)
{
for (int y = minimalY; y < maximalY; y++)
{
barycentricPoint.Calculating_lambda_coefficients(new cls3D_Point(x, y));
if (barycentricPoint.Lambda0 >= 0 && barycentricPoint.Lambda1 >= 0 && barycentricPoint.Lambda2 >= 0)
{
image.setPixel(x, y, colour);
}
}
}
}
// отрисовка градиентного квадрата
public static cls2D_Picture createGradImage()
{
cls2D_Picture gradImage = new cls2D_Picture(widht, height); // задаем размерность картинки
int[,] grad = new int[widht, height];
for (int i = 0; i < widht; i++)
{
for (int j = 0; j < height; j++)
{
grad[i, j] = (i + j) % 256; // задаем массив цветовых пикселей
}
}
for (int i = 0; i < widht; i++)
{
for (int j = 0; j < height; j++)
{
gradImage.setPixel(i, j, new clsRGB(grad[i, j], grad[i, j], grad[i, j])); // отрисовка полученного массива
}
}
return(gradImage);
}
// отрисовка белого квадрата
public static cls2D_Picture createWhiteImage()
{
cls2D_Picture whiteImage = new cls2D_Picture(widht, height); // задаем размерность картинки
int[,] white = new int[widht, height];
for (int i = 0; i < widht; i++)
{
for (int j = 0; j < height; j++)
{
white[i, j] = 255; // залдаем массив белых пискелей
}
}
for (int i = 0; i < widht; i++)
{
for (int j = 0; j < height; j++)
{
whiteImage.setPixel(i, j, new clsRGB(white[i, j], white[i, j], white[i, j])); // рисуем массив
}
}
return(whiteImage); // возвращаем полученное изображдение
}
// отрисовка черного квадрата
public static cls2D_Picture createBlackImage()
{
cls2D_Picture blackImage = new cls2D_Picture(widht, height); // задаем размерность картинки
int[,] black = new int[widht, height];
for (int i = 0; i < widht; i++)
{
for (int j = 0; j < height; j++)
{
black[i, j] = 0; // задаем массив черных пикселей
}
}
for (int i = 0; i < widht; i++)
{
for (int j = 0; j < height; j++)
{
blackImage.setPixel(i, j, new clsRGB(black[i, j], black[i, j], black[i, j])); // рисуем массив
}
}
return(blackImage); // возврат изображения
}
// алгоритм Брезенхема
public static void line4(int x0, int y0, int x1, int y1, cls2D_Picture image, clsRGB color)
{
bool steep = false;
if (Math.Abs(x0 - x1) < Math.Abs(y0 - y1))
{
swap(ref x0, ref y0);
swap(ref x1, ref y1);
steep = true;
}
if (x0 > x1)
{
swap(ref x0, ref x1);
swap(ref y0, ref y1);
}
int dx = x1 - x0;
int dy = y1 - y0;
float derror = Math.Abs(dy / (float)dx);
float error = 0;
int y = y0;
for (int x = x0; x <= x1; x++)
{
if (steep)
{
image.setPixel(y, x, color);
}
else
{
image.setPixel(x, y, color);
}
error += derror;
if (error > 0.5)
{
y += (y1 > y0 ? 1 : -1);
error -= 1.0F;
}
}
}
public static void createTriangleWithZBufferForTransformation(clsPolygonModified polygon, cls2D_Picture image, clsZbuffer zBuffer, int i)
{
minimalX = funcMinimumX(polygon);
maximalX = funcMaximumX(polygon, image);
minimalY = funcMinimumY(polygon);
maximalY = funcMaximumY(polygon, image);
clsBarycentricCoordinates barycentricPoint = new clsBarycentricCoordinates(polygon);
for (int x = minimalX; x <= maximalX; x++)
{
for (int y = minimalY; y <= maximalY; y++)
{
barycentricPoint.calc_lambda_for_Transformation(x, y);
if (barycentricPoint.lambda0 > 0 && barycentricPoint.lambda1 > 0 && barycentricPoint.lambda2 > 0)
{
double z = barycentricPoint.lambda0 * polygon[0].originalZ + barycentricPoint.lambda1 * polygon[1].originalZ + barycentricPoint.lambda2 * polygon[2].originalZ;
if (z < zBuffer.getZBuffer(x, y))
{
zBuffer.setZBuffer(x, y, z);
image.setPixel(x, y, new clsRGB((int)Math.Abs(clsVectorsOperations.getCosNormal(clsLoadData.polygonsForTransformation[i]) * 255), 0, 0));
}
}
}
}
}
public static void createTriangleWithZBufferForTransformationWithModifiedLight(clsPolygonModified polygon, clsNormsPolygon normsPolygon, cls2D_Picture image, clsZbuffer zBuffer, int i)
{
minimalX = funcMinimumX(polygon);
maximalX = funcMaximumX(polygon, image);
minimalY = funcMinimumY(polygon);
maximalY = funcMaximumY(polygon, image);
clsBarycentricCoordinates barycentricPoint = new clsBarycentricCoordinates(polygon);
double l0 = clsVectorsOperations.scalarMulty(normsPolygon[0]) / (clsVectorsOperations.lengthNorm(normsPolygon[0]) * clsVectorsOperations.lengthVectorLight());
double l1 = clsVectorsOperations.scalarMulty(normsPolygon[1]) / (clsVectorsOperations.lengthNorm(normsPolygon[1]) * clsVectorsOperations.lengthVectorLight());
double l2 = clsVectorsOperations.scalarMulty(normsPolygon[2]) / (clsVectorsOperations.lengthNorm(normsPolygon[2]) * clsVectorsOperations.lengthVectorLight());
for (int x = minimalX; x <= maximalX; x++)
{
for (int y = minimalY; y <= maximalY; y++)
{
barycentricPoint.calc_lambda_for_Transformation(x, y);
if (barycentricPoint.lambda0 > 0 && barycentricPoint.lambda1 > 0 && barycentricPoint.lambda2 > 0)
{
double z = barycentricPoint.lambda0 * polygon[0].originalZ + barycentricPoint.lambda1 * polygon[1].originalZ + barycentricPoint.lambda2 * polygon[2].originalZ;
if (z < zBuffer.getZBuffer(x, y))
{
int brightness = (int)Math.Abs((255 * (barycentricPoint.lambda0 * l0 + barycentricPoint.lambda1 * l1 + barycentricPoint.lambda2 * l2)));
image.setPixel(x, y, new clsRGB(brightness, 0, 0));
zBuffer.setZBuffer(x, y, z);
}
}
}
}
}
