62 research outputs found
Morphing of Triangular Meshes in Shape Space
We present a novel approach to morph between two isometric poses of the same
non-rigid object given as triangular meshes. We model the morphs as linear
interpolations in a suitable shape space . For triangulated 3D
polygons, we prove that interpolating linearly in this shape space corresponds
to the most isometric morph in . We then extend this shape space
to arbitrary triangulations in 3D using a heuristic approach and show the
practical use of the approach using experiments. Furthermore, we discuss a
modified shape space that is useful for isometric skeleton morphing. All of the
newly presented approaches solve the morphing problem without the need to solve
a minimization problem.Comment: Improved experimental result
Local Uniqueness of the Circular Integral Invariant
This article is concerned with the representation of curves by means of
integral invariants. In contrast to the classical differential invariants they
have the advantage of being less sensitive with respect to noise. The integral
invariant most common in use is the circular integral invariant. A major
drawback of this curve descriptor, however, is the absence of any uniqueness
result for this representation. This article serves as a contribution towards
closing this gap by showing that the circular integral invariant is injective
in a neighbourhood of the circle. In addition, we provide a stability estimate
valid on this neighbourhood. The proof is an application of Riesz-Schauder
theory and the implicit function theorem in a Banach space setting
Leaf image retrieval using a shape based method
For content-based image retrieval, shape information is of great importance. This paper presents a shape descriptor of imaged leaf objects according to their boundaries for image retrieval. We take picture of leaves, exact the sketch from original images and produce a low dimensional feature vector to describe the shape. By comparing the similarity of the query image with those in database, a set of images with shape similarity are retrieved. The experiment shows that the method has high reliability and less time consuming
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