Shape from Shading with discontinuous image brightness

نویسندگان

  • Fabio Camilli
  • Emmanuel Prados
چکیده

The Shape–from–Shading models in image analysis lead to first order Hamilton– Jacobi equations which may have several weak solutions (in the viscosity sense). Moreover, for real images, these equations are highly discontinuous in the space variable. The lack of uniqueness and the irregularity of the coefficients involve some troubles when we try to compute a solution. In order to avoid these difficulties, here we use recent results in the theory of viscosity solutions to characterize the maximal solution of these equations. Moreover we describe an approximation procedure via smooth equations with a unique viscosity solution.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Project Proposal: A Multiresolution Stochastic Approach for Shape From Shading Using Intensity Gradient Constraint

The objective of this project is the study of Shape from Shading (SfS) problem in a variational framework. Among the other shape recovery methods, SfS is employed to obtain three-dimensional shape using spatial variations of brightness in an image. In this study, SfS problem will be addressed as an energy minimization problem. A constraint which establishes a connection between intensity gradie...

متن کامل

Variational Techniques and Open Problems in the Recovery of Surface Shape from Image Shading

Shading, or brightness variation, exhibited within an image is a well-known cue for what is variously termed surface shape, depth, or form. As examples, artists commonly use tonal values in drawings to convey a realistic impression of 3-dimensionality, and make-up is sometimes used to give facial shape a flattering appearance. Just how shape might be recovered from shading has long been studied...

متن کامل

Comment on "Numerical Shape from Shading and Occluding Boundaries"

The paper ‘Numerical shape from shading and occluding boundaries” [ I O ] proposed a method to determine the 3D shape of an object from a single brightness image using the smoothness constraint on surface orientations, and the orientations of the surface given along an occluding boundary. This paper contributed both a specific algorithm for solving a specific problem, and a general approach tha...

متن کامل

Characterizing Ambiguity in Light Source Invariant Shape from Shading

Shape from shading is a classical inverse problem in computer vision. This shape reconstruction problem is inherently ill-defined; it depends on the assumed light source direction. We introduce a novel mathematical formulation for calculating local surface shape based on covariant derivatives of the shading flow field, rather than the customary integral minimization or P.D.E approaches. On smoo...

متن کامل

A Multigrid Method for Shape from Shading 1

The shape-from-shading problem has received much attention in the Computer Vision literature in recent years. The basic problem is to recover the shape z(x; y) of a surface from a given map of its shading, i.e. its variation of brightness over a given domain. Mathematically, one has to solve approximately the image irradiance equation R(p; q)(x; y) = E(x; y) relating a given image irradiance E(...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005