Graph signal processing deals with signals whose domain, defined by a graph, is irregular.
An overview of basic graph forms and definitions is presented first. Spectral analysis of …

With the rapid advancement of computer graphics and three-dimensional modeling
technology, the processing and optimization of three-dimensional (3D) models have …

We introduce a simplification method based on irregular triangular networks to create a
generalized digital elevation model (DEM) for land surface segmentation. The quadric error …

Terrain data pose modeling challenges due to their high inherent redundancy and difficulty
of identifying features at different levels of detail. We propose a multiresolution analysis …

Partitioning geometric data into two sets, one corresponding to high frequencies and the
other to low frequencies, is a critical operation in the second generation wavelet …

Designing filters over irregular non-Euclidean domains requires algorithms that take into
account the intrinsic curvature of these domains. We propose a new filtering method based …

The quadric error metric incremental simplification process involves two stages: cost
computation and vertex estimation. In this work, we replace the latter through the use of a …