Practical application of recursion in C++: image processing and data analysis cases

Recursion is widely used in C, including: Image processing: Image reduction recursively divides the image into smaller parts and calls the reduction operation repeatedly. Data Analysis: Merge Sort: Achieved by recursively splitting an array into smaller subarrays and merging the sorted subarrays. Binary search: Find the target element in an ordered array through recursion.

Practical application of recursion in C: Image processing and data analysis cases

Recursion is a powerful programming technology. Solved the problem by calling itself inside the function. In C, recursion has a wide range of applications, such as:

Image processing

• Image reduction:Reduce the image Up to a certain size, you can recursively divide the image into smaller parts and call the shrink operation recursively.

  // 递归缩小图像
  Image resize(Image image, int new_width, int new_height) {
  if (image.width == new_width && image.height == new_height) {
    return image;
  }
  // 缩小图像是原图的一半
  Image half_size = resize(image, image.width / 2, image.height / 2);
  // 扩大缩小的图像到指定尺寸
  return half_size.resize(new_width, new_height);
  }

Data analysis

• ##Merge sort: An effective and stable sorting algorithm , achieved by recursively splitting the array into smaller subarrays and merging the sorted subarrays.

  // 递归归并排序
  void merge_sort(int* arr, int n) {
  if (n <= 1) {
    return;
  }
  int mid = n / 2;
  int* left_arr = new int[mid];
  int* right_arr = new int[n - mid];
  for (int i = 0; i < mid; i++) {
    left_arr[i] = arr[i];
  }
  for (int i = mid; i < n; i++) {
    right_arr[i - mid] = arr[i];
  }
  merge_sort(left_arr, mid);
  merge_sort(right_arr, n - mid);
  merge(arr, left_arr, mid, right_arr, n - mid);
  delete[] left_arr;
  delete[] right_arr;
  }

• Binary search: An efficient search algorithm that finds the target element in an ordered array through recursion.

  // 递归二分查找
  int binary_search(int* arr, int n, int target) {
  int low = 0;
  int high = n - 1;
  while (low <= high) {
    int mid = (low + high) / 2;
    if (arr[mid] == target) {
      return mid;
    } else if (arr[mid] < target) {
      low = mid + 1;
    } else {
      high = mid - 1;
    }
  }
  return -1;
  }

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