The computation of saliency from an image and a video is an interesting challenge in image processing and computer vision. Context-aware saliency, which addresses the saliency based on the geometric structure of an image, is known as one of the most powerful schemes for computing saliency. An obstacle of the context-aware scheme is the heavy computation load. We reduce the computational load in a great scale by applying the dart throwing algorithm, which is a widely used stochastic noise generation scheme in computer graphics society.