能否通过C++的point类实现点的变换和投影

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作者
筋斗云
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当然可以。首先,我们需要定义一个表示点的类 Point,然后实现变换(例如平移、旋转)和投影(例如正交投影、透视投影)的方法。以下是一个简单的示例:

#include <iostream> #include <cmath>  class Point { public:     double x, y, z;      Point(double x = 0, double y = 0, double z = 0) : x(x), y(y), z(z) {}      // 平移变换     Point translate(double dx, double dy, double dz) const {         return Point(x + dx, y + dy, z + dz);     }      // 旋转变换(绕Z轴)     Point rotateZ(double angle) const {         double rad = angle * M_PI / 180.0;         double newX = x * cos(rad) - y * sin(rad);         double newY = x * sin(rad) + y * cos(rad);         return Point(newX, newY, z);     }      // 投影方法(正交投影)     Point orthographicProjection(double width, double height, double depth) const {         double u = (x + 1.0) / 2.0 * width;         double v = (z + 1.0) / 2.0 * height;         return Point(u, v, 0);     }      // 投影方法(透视投影)     Point perspectiveProjection(double fov, double aspect, double near, double far) const {         double range = far - near;         double n = near + (z - near) * tan(fov * M_PI / 360.0);         double u = (x + 1.0) / 2.0 * width * (n + near) / range;         double v = (z + 1.0) / 2.0 * height * (n + near) / range;         return Point(u, v, n);     } };  int main() {     Point p(1, 1, 1);     Point translated = p.translate(2, 3, 4);     Point rotated = p.rotateZ(45);     Point orthographic = p.orthographicProjection(800, 600, 100);     Point perspective = p.perspectiveProjection(45, 1, 0.1, 100);      std::cout << "Original point: (" << p.x << ", " << p.y << ", " << p.z << ")\n";     std::cout << "Translated point: (" << translated.x << ", " << translated.y << ", " << translated.z << ")\n";     std::cout << "Rotated point: (" << rotated.x << ", " << rotated.y <<

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