Discrete geometric shapes: Matching, interpolation, and approximation

H Alt, LJ Guibas - Handbook of computational geometry, 2000 - Elsevier
In this chapter we survey geometric techniques which have been used to measure the
similarity or distance between shapes, as well as to approximate shapes, or interpolate …

Polygonal approximations of a curve—formulations and algorithms

I Hiroshi, IRI Masao - Machine Intelligence and Pattern Recognition, 1988 - Elsevier
A general framework for polygonal approximation problems in various situations is given,
and solution algorithms are discussed. The problems are classified according to three …

Infrared-visible image fusion method based on sparse and prior joint saliency detection and LatLRR-FPDE

Y Li, G Liu, DP Bavirisetti, X Gu, X Zhou - Digital Signal Processing, 2023 - Elsevier
In this paper, a new infrared and visible image fusion method based on saliency detection
and LatLRR-FPDE is proposed to ensure the saliency of the fused target and improve the …

Approximation of polygonal curves with minimum number of line segments or minimum error

WS Chan, F Chin - International Journal of Computational Geometry …, 1996 - World Scientific
We improve the time complexities for solving the polygonal curve approximation problems
formulated by Imai and Iri. The time complexity for approximating any polygonal curve of n …

Near-linear time approximation algorithms for curve simplification

PK Agarwal, S Har-Peled, NH Mustafa, Y Wang - Algorithmica, 2005 - Springer
We consider the problem of approximating a polygonal curve P under a given error criterion
by another polygonal curve P'whose vertices are a subset of the vertices of P. The goal is to …

A Fast Multiresolution Polygonal Approximation Algorithm for GPS Trajectory Simplification

M Chen, M Xu, P Franti - IEEE Transactions on Image …, 2012 - ieeexplore.ieee.org
Recent advances in geopositioning mobile phones have made it possible for users to collect
a large number of GPS trajectories by recording their location information. However, these …

Polygonal representation of digital planar curves through dominant point detection—a nonparametric algorithm

M Marji, P Siy - Pattern Recognition, 2004 - Elsevier
We describe a new algorithm that detects a set of feature points on the boundary of an 8-
connected shape that constitute the vertices of a polygonal approximation of the shape itself …

Polygonal approximation of digital planar curves through break point suppression

A Carmona-Poyato, FJ Madrid-Cuevas… - Pattern Recognition, 2010 - Elsevier
This paper presents a new algorithm that detects a set of dominant points on the boundary of
an eight-connected shape to obtain a polygonal approximation of the shape itself. The set of …

Efficient algorithms for approximating polygonal chains

PK Agarwal, KR Varadarajan - Discrete & Computational Geometry, 2000 - Springer
We consider the problem of approximating a polygonal chain C by another polygonal chain
C'whose vertices are constrained to be a subset of the set of vertices of C. The goal is to …

Efficient piecewise-linear function approximation using the uniform metric: (preliminary version)

MT Goodrich - Proceedings of the tenth annual symposium on …, 1994 - dl.acm.org
We give an O (n log n)-time method for finding a best k-link piecewise-linear function
approximating an n-point planar data set using the well-known uniform metric to measure …