1. An ultrasonic image processing apparatus comprising: a controller configured to include an in-frame processor and a re-constructing unit; the in-frame processor which applies a process between a first pixel array and a second pixel array in a frame acquired by transmitting and receiving ultrasound, and which calculates a movement destination on the second pixel array for each pixel of interest in the first pixel array; and the re-constructing unit which re-constructs the second pixel array into a high-density pixel array using the movement destination calculated for each of the pixel of interest, wherein the in-frame processor calculates the movement destination of the pixel of interest by applying a pattern matching process between the first pixel array and the second pixel array, wherein in the pattern matching process, the in-frame processor; sets a template centered at the pixel of interest in the first pixel array; sequentially sets, at different positions in the second pixel array, reference areas each having a size equal to that of the template; generates a correlation value profile by calculating a correlation value between the template and the reference area set at each of the positions; and calculates a correspondent address on the second pixel array as the movement destination in accordance with the correlation value profile.