Change search
ReferencesLink to record
Permanent link

Direct link
When Computers Can Discuss Shape Properties with Each Other
Blekinge Institute of Technology, School of Engineering.
2011 (English)Independent thesis Advanced level (degree of Master (Two Years))Student thesisAlternative title
When Computers Can Discuss Shape Properties with Each Other (Swedish)
Abstract [en]

A novel idea for perception of object surfaces is presented by so called "shape descriptors". Such idea is as an abstract level to represent the object surface by some real numbers. It has the similar idea like as the Fourier coefficients of mapping a function f(x) to frequency domain by Fourier transform. The main goal of this thesis is to define some of the key issues in understanding of an object shape and also to find a modeling methodology to create the "shape descriptors". The modeling methodology is designed based on a variational interpolation technique. Such technique is used to generate a group of variational implicit functions with help of radial basis functions. In our modeling methodology, we randomly choose some reference points on a set of related concentric spheres around a 3D point cloud data as known values in variational implicit functions. The "shape descriptors" are found from these implicit functions implementing LU decomposition. We show that the "shape descriptors" are invariant to size and positioning (rotation and translation) changes of a shape and they are also effective tools for matching of two similar objects surfaces.

Place, publisher, year, edition, pages
2011. , 48 p.
Keyword [en]
shape descriptors, variational interpolation, implicit function
National Category
Mathematics Computer Science
URN: urn:nbn:se:bth-2205Local ID: diva2:829472
Physics, Chemistry, Mathematics
Available from: 2015-04-22 Created: 2011-10-27 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

fulltext(1563 kB)19 downloads
File information
File name FULLTEXT01.pdfFile size 1563 kBChecksum SHA-512
Type fulltextMimetype application/pdf

By organisation
School of Engineering
MathematicsComputer Science

Search outside of DiVA

GoogleGoogle Scholar
Total: 19 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 45 hits
ReferencesLink to record
Permanent link

Direct link