Diffusive smoothing of 3D segmented medical data

Diffusive smoothing of 3D segmented medical data

This paper proposes an accurate, computationally efficient, and spectrum-free formulation of the heat diffusion smoothing on 3D shapes, represented as triangle meshes. The idea behind our approach is to apply a [Formula: see text]-degree Padé-Chebyshev rational approximation to the solution of the heat diffusion equation. The proposed formulation is equivalent to solve r sparse, symmetric linea...

Compression of Segmented 3D Seismic Data

We present a preliminary investigation of compression of segmented 3D seismic volumes for the rendering purposes. Promising results are obtained on the base of 3D discrete cosine transforms followed by the SPIHT coding scheme. An accelerated version of the algorithm combines 1D discrete cosine transform in vertical direction with the 2D wavelet transform of horizontal slices. In this case the S...

Segmented Data

In mobile robotics, pure geometric representations may not be well suited for navigation in large scale environments. New models combine topological and metrical information to give compact and eecient representations. In this paper, we brieey remind the outlines of the construction of our Vorono-like graph and give further details about its implementation in a real environment. Several trials ...

3D Encoding/2D Decoding of Medical Data

We propose a fully three-dimensional wavelet-based coding system featuring 3D encoding/2D decoding functionalities. A fully threedimensional transform is combined with context adaptive arithmetic coding; 2D decoding is enabled by encoding every 2D subband image independently. The system allows a finely graded up to lossless quality scalability on any 2D image of the dataset. Fast access to 2D i...

Multirate Coding of 3D Medical Data