A method for decoding comprises receiving a compressed bitstream relating to a video presentation; decoding from the received bitstream data relating to three-dimensional blocks of a video frame; for each block of the video frame, determining information on surface parameters; generating a bounding box for a three-dimensional block according to the surface parameters; calculating a ray direction for each pixel of the three-dimensional block from a viewpoint to coordinates of the pixel; determining at least two points according to an intersection of the ray to the generated bounding box; ray casting points between the determined at least two points until a condition to finish the ray casting is met; reconstructing three-dimensional data from the geometry image and the texture image according to the information on one or more surface parameters for a block; reconstructing a video presentation according to the reconstructed three-dimensional data for rendering.