Geodesic histogram based 3D deformable shape correspondence

Author(s):  
Xiang Pan ◽  
Zhihao Cheng ◽  
Junmian Lin ◽  
Zhi Liu
Keyword(s):  
2008 ◽  
Vol 27 (5) ◽  
pp. 1431-1439 ◽  
Author(s):  
H. Zhang ◽  
A. Sheffer ◽  
D. Cohen-Or ◽  
Q. Zhou ◽  
O. van Kaick ◽  
...  
Keyword(s):  

2015 ◽  
Vol 3 (1) ◽  
Author(s):  
Tao Liao ◽  
Hao-Chih Lee ◽  
Ge Yang ◽  
Yongjie Jessica Zhang

AbstractThe functionality of biomolecules depends on their flexible structures, which can be characterized by their surface shapes. Tracking the deformation and comparing biomolecular shapes are essential in understanding their mechanisms. In this paper, a new spectral shape correspondence analysis method is introduced for biomolecules based on volumetric eigenfunctions. The eigenfunctions are computed from the joint graph of two given shapes, avoiding the sign flipping and confusion in the order of modes. An initial correspondence is built based on the distribution of a shape diameter, which matches similar surface features in different shapes and guides the eigenfunction computation. A two-step scheme is developed to determine the final correspondence. The first step utilizes volumetric eigenfunctions to correct the assignment of boundary nodes that disobeys the main structures. The second step minimizes the distortion induced by deforming one shape to the other. As a result, a dense point correspondence is constructed between the two given shapes, based on which we approximate and predict the shape deformation, as well as quantitatively measure the detailed shape differences.


2018 ◽  
Vol 38 (1) ◽  
pp. 7-20 ◽  
Author(s):  
Yanir Kleiman ◽  
Maks Ovsjanikov
Keyword(s):  

Author(s):  
Pahal Dalal ◽  
Song Wang

Shape correspondence, which aims at accurately identifying corresponding landmarks from a given population of shape instances, is a very challenging step in constructing a statistical shape model such as the Point Distribution Model. Many shape correspondence methods are primarily focused on closed-surface shape correspondence. The authors of this chapter discuss the 3D Landmark Sliding method of shape correspondence, which is able to identify accurately corresponding landmarks on 3D closed-surfaces and open-surfaces (Dalal 2007, 2009). In particular, they introduce a shape correspondence measure based on Thin-plate splines and the concept of explicit topology consistency on the identified landmarks to ensure that they form a simple, consistent triangle mesh to more accurately model the correspondence of the underlying continuous shape instances. The authors also discuss issues such as correspondence of boundary landmarks for open-surface shapes and different strategies to obtain an initial estimate of correspondence before performing landmark sliding.


2019 ◽  
Vol 38 (5) ◽  
pp. 1-12 ◽  
Author(s):  
M. Eisenberger ◽  
Z. Lähner ◽  
D. Cremers

2020 ◽  
Vol 33 (6) ◽  
pp. 569-598
Author(s):  
Yuna Kwak ◽  
Hosung Nam ◽  
Hyun-Woong Kim ◽  
Chai-Youn Kim

Abstract Cross-modal correspondence is the tendency to systematically map stimulus features across sensory modalities. The current study explored cross-modal correspondence between speech sound and shape (Experiment 1), and whether such association can influence shape representation (Experiment 2). For the purpose of closely examining the role of the two factors — articulation and pitch — combined in speech acoustics, we generated two sets of 25 vowel stimuli — pitch-varying and pitch-constant sets. Both sets were generated by manipulating articulation — frontness and height of the tongue body’s positions — but differed in terms of whether pitch varied among the sounds within the same set. In Experiment 1, participants made a forced choice between a round and a spiky shape to indicate the shape better associated with each sound. Results showed that shape choice was modulated according to both articulation and pitch, and we therefore concluded that both factors play significant roles in sound–shape correspondence. In Experiment 2, participants reported their subjective experience of shape accompanied by vowel sounds by adjusting an ambiguous shape in the response display. We found that sound–shape correspondence exerts an effect on shape representation by modulating audiovisual interaction, but only in the case of pitch-varying sounds. Therefore, pitch information within vowel acoustics plays the leading role in sound–shape correspondence influencing shape representation. Taken together, our results suggest the importance of teasing apart the roles of articulation and pitch for understanding sound–shape correspondence.


2020 ◽  
Vol 92 ◽  
pp. 28-43 ◽  
Author(s):  
Roberto M. Dyke ◽  
Yu-Kun Lai ◽  
Paul L. Rosin ◽  
Stefano Zappalà ◽  
Seana Dykes ◽  
...  

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