Typical C++ Code for a Convolution Function - 2022.1 English

A standard convolution function applied to an image is used here to demonstrate how the C++ code can negatively impact the performance which is possible from an FPGA. In this example, a horizontal and then vertical convolution is performed on the data. Since the data at edge of the image lies outside the convolution windows, the final step is to address the data around the border.

The algorithm structure can be summarized as follows:

template<typename T, int K>
static void convolution_orig(
 int width, 
 int height,
 const T *src, 
 T *dst,
 const T *hcoeff, 
const T *vcoeff) {

T local[MAX_IMG_ROWS*MAX_IMG_COLS];

// Horizontal convolution 
HconvH:for(int col = 0; col < height; col++){
 HconvWfor(int row = border_width; row < width - border_width; row++){
   Hconv:for(int i = - border_width; i <= border_width; i++){
 }
 }
// Vertical convolution 
VconvH:for(int col = border_width; col < height - border_width; col++){
 VconvW:for(int row = 0; row < width; row++){
   Vconv:for(int i = - border_width; i <= border_width; i++){
 }
 }
// Border pixels
Top_Border:for(int col = 0; col < border_width; col++){
}
Side_Border:for(int col = border_width; col < height - border_width; col++){
}
Bottom_Border:for(int col = height - border_width; col < height; col++){
}
}