Authors:
Zizhao Wu
;
Ruyang Shou
and
Xinguo Liu
Affiliation:
Zhejiang University, China
Keyword(s):
Geometry Processing, Shape Correspondence, Spectral Embedding.
Related
Ontology
Subjects/Areas/Topics:
Computer Vision, Visualization and Computer Graphics
;
Geometric Computing
;
Geometry and Modeling
;
Modeling and Algorithms
;
Surface Modeling
Abstract:
Spectral embedding, as one of shape representative techniques, takes hold of many researchers’ attention
in field of shape correspondence. One of the biggest challenges of spectral correspondence method is that
embeddings of different shapes need to be aligned in the embedding space in order to eliminate sign flip and
ordering ambiguity of their eigenfunctions, before seeking for correspondence. In this paper, we introduce
a spectral correspondence method by embedding shapes in a unified space simultaneously. In the unified
embedding space, the sample points of the same shape with small intrinsic distances, and from different
shapes with high similarity, are close to each other. Our unified embedding can be used for correspondence
directly, without need of alignment. Furthermore, the unified embedding captures both the spatial arrangement
and the feature similarity. Shape correspondence is achieved with such embedding by minimizing an objective
function. Results show the efficiency o
f our method.
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