1. A vehicle brake control apparatus applied to a vehicle including: a brake device for braking the vehicle; and a camera device for capturing an image of a landscape in a traveling direction of the vehicle as a landscape image, the vehicle brake control apparatus comprising an electronic control unit configured to: perform a process for detecting a person image included in the landscape image by a pattern matching technique, the person image being an image of a person; determine whether or not a person exists in a braking area on the basis of a position of the person image in the landscape image when the electronic control unit detects the person image included in the landscape image, the braking area being a part of a traveling scheduled area of the vehicle that is within a range of a predetermined distance from the vehicle; start an activation of the brake device to brake the vehicle when the electronic control unit determines that the person exists in the braking area; determine whether or not the person exists outside of the braking area on the basis of the position of the person image in the landscape image after the electronic control unit starts the activation of the brake device; stop the activation of the brake device when the electronic control unit determines that the person exists outside of the braking area; determine whether or not a non-detection situation occurs after the electronic control unit starts the activation of the brake device, the non-detection situation being a situation that the electronic control unit cannot detect the person image by the pattern matching technique; acquire at least one first characteristic point included in a first landscape image and at least one second characteristic point included in a second landscape image when the non-detection situation occurs before the electronic control unit determines that the person exists outside of the braking area, the first landscape image being the landscape image acquired at a first time, the second landscape image being the landscape image acquired at a second time before the first time, the at least one second characteristic point corresponding to the at least one first characteristic point; acquire a moving direction and a moving amount of the at least one first or second characteristic point on the basis of the at least one first characteristic point and the at least one second characteristic point; and stop the activation of the brake device when the electronic control unit determines that the person exists outside of the braking area on the basis of the moving direction and the moving amount.