Disclosed is an encoding and decoding system and associated methods for producing a compressed waveform that encodes data points of a point cloud in a format and size that may be transmitted over a data network, decompressed, decoded, and rendered on a remote device without the buffering or lag associated with transmitting and rendering an uncompressed point cloud. The encoder receives a request from a remote device to access the point cloud, encodes a set of data points from the point cloud as one or more signals derived from values defined for the positional and non-positional elements of each data point from the set of data points, generates one or more compressed waveforms from compressing the one or more signals and transmits the one or more compressed waveforms to the remote device in response to the request for decompression, decoding, and image rendering.