Can the Sun’s Direction Be Estimated Prior to the Determination of Shape? Wojciech Chojnacki
نویسندگان
چکیده
A smooth object depicted in a photographwill often exhibit brightness variation, or shading. Various computational techniques have been developed that perform reasonably well in inferring shape from shading. However, these techniques typically require substantial prerequisite information if they are to evolve an estimate of surface shape. It is therefore interesting to consider how depth might be inferred from shading information without prior knowledge of the scene conditions. One approach has been to undertake a pre-processing step of estimating the light-source direction, thereby providing input to the computation of shape from shading. In this paper, we argue that a versatile light-source estimator of this kind is unattainable, and suggest that in the absence of domain-specific knowledge, shape and light-source direction must be determined in a coupled manner.
منابع مشابه
Estimating Sun Direction from a Single Image
This paper focusses on the pioneering and influential method of Pentland which automatically estimates the direction of the “sun” from a single image. We show that, under the assumptions used in the derivation of the method, the estimate of source direction is incorrect. Specifically, we show that an image-based expression used in calculating source direction diverges to infinity as the density...
متن کاملEstimation of structure from motion in the uncalibrated case
A procedure is described for determining structure from motion in the uncalibrated case. It is shown that a camera with unknown focal length undergoing arbitrary motion can be self-calibrated via closed-form expressions in the composite ratio of elements of two special matrices. Techniques are given for robust determination of this ratio via least-squares methods, and for the elimination of out...
متن کاملBayesian Estimation of Shift Point in Shape Parameter of Inverse Gaussian Distribution Under Different Loss Functions
In this paper, a Bayesian approach is proposed for shift point detection in an inverse Gaussian distribution. In this study, the mean parameter of inverse Gaussian distribution is assumed to be constant and shift points in shape parameter is considered. First the posterior distribution of shape parameter is obtained. Then the Bayes estimators are derived under a class of priors and using variou...
متن کاملEstimation of Source Location Using Curvature Analysis
A quadratic surface can be fitted to potential-field data within 3×3 windows, which allow us to calculate curvature attributes from its coefficients. Phillips (2007) derived an equation depending on the most negative curvature to obtain the depth and structural index of isolated sources from peak values of special functions. They divided the special functions into two categories: Model-specific...
متن کاملA New Proof of a Theorem concerning Decomposable Groups
We give an elementary proof of the following result: If G is a compact non-zero Abelian group with dual isomorphic to a subgroup of Q, such that U u (U) = G \ G(2) and U n (U) = 0 for some open subset U c G, where G(2) = {a E G: 2a = O}, then G is topologically isomorphic with T.
متن کامل