The work aims to investigate the possible contemporary interactive cloud based solutions in the fields of the applied medicine for the smart Healthcare as the data visualization open-source free system distributed under the MIT license. A comparative study of a number of the well-known implementations of the Ray Casting algorithms was studied. A new method of numerical calculus is proposed for calculating the volume -- the method of spheres, as well as a proposal for paralleling the algorithm on graphic accelerators in a linearly homogeneous computing environment using the block decomposition methods. For the artifacts control -- algorithm of the cubic interpolation was used. The cloud server architecture was proposed.