Discrete analytical objects in the body-centered cubic grid

Article Computer Science, Artificial Intelligence

Hough Transform for Detecting Space Curves in Digital 3D Models

Chiara Romanengo et al.

Summary: This article presents a method for recognizing and approximating space curves in digital models, which works on incomplete or noisy models and is suitable for analyzing digital models derived from 3D scans. The method utilizes a recent formulation of the Hough Transform for algebraic curves to define both parametric and implicit space curve representations, and compares the computational performance and approximation accuracy of both strategies.

JOURNAL OF MATHEMATICAL IMAGING AND VISION (2022)

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Article Computer Science, Software Engineering

Efficient Parallel Thinning of 3d Objects on the Body-centered Cubic Lattice

David Brunner et al.

Summary: This paper presents a thinning method to extract one-dimensional skeletons from discrete objects on the body-centered cubic lattice. By introducing stronger conditions, including the removal of topological invariant points in a parallelized process, the thinning process becomes faster. Moreover, distance information and an optional pruning mechanism are introduced to improve the quality of the resulting skeletons.

COMPUTER-AIDED DESIGN (2022)

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Article Computer Science, Information Systems