Shape from Texture through Deformations
نویسندگان
چکیده
This paper is a contribution to the recovery of shape from texture under perspective projection. We regard shape from texture as a statistical estimation problem, the texture being the realization of a stochastic process. There are two minimal conditions in order for the problem to be solvable: the first is a stationarity condition on the texture with respect to the surface; the second is the regularity of the surface. Information about the surface is obtained by estimating a deformation map. We prove that at a fine scale, the wavelet decomposition of the image obeys a transport PDE, the coefficients of which can be estimated, and related to the deformation map. We show how the global surface shape can then be integrated.
منابع مشابه
Direct Appearance Models
Active appearance model (AAM), which makes ingenious use of both shape and texture constraints, is a powerful tool for face modeling, alignment and facial feature extraction under shape deformations and texture variations. However, as we will show through our analysis and experiments, there exist admissible appearances that are not modeled by AAM and hence cannot be reached by AAM search; also ...
متن کاملCombinations of Deformable Shape Prototypes
We present a model-based technique for encoding nonrigid object classes in terms of object prototypes. Objects from the same class can be parameterized by identifying shape and appearance invariants of the class to devise lowlevel representations. The approach presented here creates a flexible model for an object class from a set of prototypes. This model is then used to estimate the parameters...
متن کاملShape-adapted smoothing in estimation of 3-D shape cues from affine deformations of local 2-D brightness structure
This article describes a method for reducing the shape distortions due to scale-space smoothing that arise in the computation of 3-D shape cues using operators (derivatives) defined from scale-space representation. More precisely, we are concerned with a general class of methods for deriving 3-D shape cues from a 2-D image data based on the estimation of locally linearized deformations of brigh...
متن کاملA Texture Manifold for Curve-Based Morphometry of the Cerebral Cortex
The cortical surface of the human brain is composed of folds that are juxtaposed alongside one another. Several methods have been proposed to study the shape of these folds, e.g., by first segmenting them on the cortical surface or by analysis via a continuous deformation of a common template. A major disadvantage of these methods is that, while they can localize shape differences, they cannot ...
متن کاملSparse Texture Representation Using Affine-Invariant Neighborhoods
This paper proposes a novel texture representation suitable for recognizing images of textured surfaces under a wide range of transformations, including viewpoint changes and non-rigid deformations. Unlike many existing feature extraction methods, which treat the neighborhood of every pixel as a candidate texture element, the proposed algorithm works by selecting a sparse set of affine-invarian...
متن کامل