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Branch Profiles for Shape Analysis

2020 Digital Image Computing: Techniques and Applications (DICTA), 2020
The necessity for characterising highly irregularly shaped objects appears in many circumstances, most prominently in biology and medicine, but also in physical sciences and elsewhere. Here, a multi-scale method for quantifying the level of branching in irregular structures is presented to extend the repertoire descriptors of shape. The method was used
Zayed M. Asiri   +2 more
openaire   +4 more sources

SHAPE MODELING AND SHAPE ANALYSIS BASED ON SINGULARITIES

International Journal of Shape Modeling, 1996
Summary: To analyze given object shapes, it is necessary first to model the shapes and then to analyze the models. This paper proposes a method of modeling and analyzing two-dimensional (2D) and three-dimensional (3D) shapes based on singularities. First, a function is defined on an object.
Yoshihisa Shinagawa   +3 more
openaire   +2 more sources

Description logics for shape analysis

Third IEEE International Conference on Software Engineering and Formal Methods (SEFM'05), 2005
Verification of programs requires reasoning about sets of program states. In case of programs manipulating pointers, program states are pointer graphs. Verification of such programs involves reasoning about unbounded sets of graphs. Three-valued shape analysis (Sagiv et. al.) is an approach based on explicit manipulation of 3-valued shape graphs, which
Georgieva, L., Maier, P.
openaire   +2 more sources

Indirect shape analysis for 3D shape retrieval

Computers & Graphics, 2015
We introduce indirect shape analysis, or ISA, where a given shape is analyzed not based on geometric or topological features computed directly from the shape itself, but by studying how external agents interact with the shape. The potential benefits of ISA are two-fold.
Zhenbao Liu   +6 more
openaire   +1 more source

The Shaping of Functional Analysis

Bulletin of the London Mathematical Society, 1997
This paper (based on a lecture given in Oxford in May 1995) outlines the development of linear functional analysis over the years 1895-1938. It is remarked that although up to 1909 much had been achieved in dealing with various problems in the field, no general unifying theme was visible at this date.
openaire   +1 more source

The Generalized Shape Distributions for Shape Matching and Analysis

IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06), 2006
This paper presents a novel 3D shape descriptor "The Generalized Shape Distributions" for effective shape matching and analysis, by taking advantage of both local and global shape signatures. We start this process by generating spin images on meshes. These local shape descriptors are then quantized via k-means clustering.
Yi Liu, Hongbin Zha, Hong Qin 0001
openaire   +1 more source

Fourier Analysis of Cephalometric Shapes

The Cleft Palate-Craniofacial Journal, 1996
Craniofacial growth and development involve both size and shape variations. Shape variations can be assessed independently from size using mathematical methods such as the Fourier series. A method for the reconstruction of outlines starting from selected landmarks and for their Fourier analysis has been developed and applied to analyze the age ...
V.F. Ferrario   +4 more
openaire   +3 more sources

Shape Analysis and Structuring

2008
Several techniques have been developed in the literature for processing different aspects of the geometry of shapes, for representing and manipulating a shape at different levels of detail, and for describing a shape at a structural level as a concise, part-based, or iconic model.
DE FLORIANI, LEILA, M. SPAGNUOLO
openaire   +4 more sources

DIFFERENTIAL SHAPE STATISTICAL ANALYSIS

International Journal of Wavelets, Multiresolution and Information Processing, 2007
A novel statistical approach that involves differential shape is proposed to analyze contour segments. First, a moment-based algorithm to represent the differential contour segment in an efficient way is introduced. Then, a curvature mean-shift method is adopted to search for the salient features.
Yufeng Chen   +3 more
openaire   +3 more sources

Shape Analysis with Connectors

2015
We extend off-the-shelf shape analyses with the ability to infer numeric relations between directly or indirectly connected heap cells. Specifically, we introduce the concept of connectors, an instrumentation that retains relations between heap cells even if these cells are merged into summary nodes.
Holger Siegel, Axel Simon
openaire   +2 more sources

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