A Curvature Tensor Distance for Mesh Visual Quality Assessment
نویسندگان
چکیده
This paper presents a new objective metric for assessing the visual difference between a reference or ‘perfect’ mesh and its distorted version. The proposed metric is based on the measurement of a distance between curvature tensors of the two triangle meshes under comparison. Unlike existing methods, our algorithm uses not only eigenvalues but also eigenvectors of the curvature tensor to derive a perceptually-oriented distance. Our metric also accounts for some important properties of the human visual system. Experimental results show good coherence between the proposed objective metric and subjective assessments.
منابع مشابه
A Curvature-Tensor-Based Perceptual Quality Metric for 3D Triangular Meshes
Perceptual quality assessment of 3D triangular meshes is crucial for a variety of applications. In this paper, we present a new objective metric for assessing the visual difference between a reference triangular mesh and its distorted version produced by lossy operations, such as noise addition, simplification, compression and watermarking. The proposed metric is based on the measurement of the...
متن کاملA fast roughness-based approach to the assessment of 3D mesh visual quality
We propose in this paper a new objective metric for the visual quality assessment of 3D meshes. The metric can predict the extent of the visual difference between a reference mesh, which is considered to be of perfect quality, and a distorted version. The proposed metric is based on a mesh local roughness measure derived from Gaussian curvature. The perceptual distance between two meshes is com...
متن کاملAssessment of the Log-Euclidean Metric Performance in Diffusion Tensor Image Segmentation
Introduction: Appropriate definition of the distance measure between diffusion tensors has a deep impact on Diffusion Tensor Image (DTI) segmentation results. The geodesic metric is the best distance measure since it yields high-quality segmentation results. However, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. The main goal of this ...
متن کاملSpacetimes admitting quasi-conformal curvature tensor
The object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. At first we prove that a quasi-conformally flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein's field equation with cosmological constant is covariant constant. Next, we prove that if the perfect flui...
متن کاملConformal mappings preserving the Einstein tensor of Weyl manifolds
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds r...
متن کامل