Parametrization of spline functions to describe the shape of shell structures.

Lenda, Grzegorz; Mirek, Grzegorz

doi:10.7494/geom.2013.7.1.65

Cited by 1 publication

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An example of such a method, weighted-quadratic trigonometric spline, was presented by Sarfraz et al (2016). Other researchers focused on the application of those tools for 2D and 3D data (Lenda, 2006, Lenda andMirek, 2013). The results of those methods depend strongly on the shape of the input objects.…”

Section: Algorithms In Shape Analysismentioning

confidence: 99%

Area collapse algorithm computing new curve of 2D geometric objects

Buczek

2017

Geodesy and Cartography

View full text Add to dashboard Cite

The processing of cartographic data demands human involvement. Up-to-date algorithms try to automate a part of this process. The goal is to obtain a digital model, or additional information about shape and topology of input geometric objects. A topological skeleton is one of the most important tools in the branch of science called shape analysis. It represents topological and geometrical characteristics of input data. Its plot depends on using algorithms such as medial axis, skeletonization, erosion, thinning, area collapse and many others. Area collapse, also known as dimension change, replaces input data with lower-dimensional geometric objects like, for example, a polygon with a polygonal chain, a line segment with a point. The goal of this paper is to introduce a new algorithm for the automatic calculation of polygonal chains representing a 2D polygon. The output is entirely contained within the area of the input polygon, and it has a linear plot without branches. The computational process is automatic and repeatable. The requirements of input data are discussed. The author analyzes results based on the method of computing ends of output polygonal chains. Additional methods to improve results are explored. The algorithm was tested on real-world cartographic data received from BDOT/GESUT databases, and on point clouds from laser scanning. An implementation for computing hatching of embankment is described.

show abstract

Section: Algorithms In Shape Analysismentioning

confidence: 99%

Area collapse algorithm computing new curve of 2D geometric objects

Buczek

2017

Geodesy and Cartography

View full text Add to dashboard Cite

show abstract

Parametrization of spline functions to describe the shape of shell structures.

Cited by 1 publication

References 5 publications

Area collapse algorithm computing new curve of 2D geometric objects

Area collapse algorithm computing new curve of 2D geometric objects

Contact Info

Product

Resources

About