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This paper presents a fully scalable texture coding algorithm for arbitrarily shaped video object based on the 3D-SPIHT algorithm. The proposed algorithm, called Fully Scalable Object-based 3D-SPIHT (FSOB-3DSPIHT), modifies the 3D-SPIHT algorithm to code video objects with arbitrary shape and adds spatial and temporal scalability features to it. It keeps important features of the original 3D-SPIHT coder such as compression efficiency, full embeddedness, and rate scalability. The full scalability feature of the modified algorithm is achieved through the introduction of multiple resolution dependent lists for the sorting stage of the algorithm. The idea of bitstream transcoding without decoding to obtain different bitstreams for various spatial and temporal resolutions and bit rates is completely supported by the algorithm.