With the rapid advance in computational power and the popularization of neural network libraries, numerous techniques have been proposed to aid in the diagnostic of diseases. However, neural networks need thousands of labeled images in a data set to allow its training. This becomes a greater challenge in the scope of angiograms, due to the low availability of public labeled data set. Hence this work proposes a tool for the generation of synthetic angiograms. The tool uses a three dimensional analytical model as a basis. The vessels over the surface were modeled by toroidal functions including branches, thinning, aneurysm and stenosis effects. Further an approach of x-ray beams trajectory analysis over the model was deployed. This method creates a new approach in formulating synthetic angiograms images. Since the basis model is analytical, it can be changed to fit any organ i.e. the heart. Here an example was shown to a simple approximation of an coronary angiogram that can be easily expanded to a retinal angiogram. The proposed tool was able to output images that closely resemble a coronary angiography as an application example, reproducing the effect of depth for the heart and the vessels from a tridimensional model to an image.