The variational approach to shape from shading
Computer Vision, Graphics, and Image Processing
A line-integration based method for depth recovery from surface normals
Computer Vision, Graphics, and Image Processing
A Method for Enforcing Integrability in Shape from Shading Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Height and gradient from shading
International Journal of Computer Vision
On the representation of operators in bases of compactly supported wavelets
SIAM Journal on Numerical Analysis
Wavelet analysis: the scalable structure of information
Wavelet analysis: the scalable structure of information
Computer Vision: Three-Dimensional Data from Images
Computer Vision: Three-Dimensional Data from Images
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This paper presents a wavelet-based algorithm for height from gradients. The tensor product of the third-order Daubechies' scaling functions is used to span the solution space. The surface height is described as a linear combination of a set of the scaling basis functions. This method efficiently discretizes the cost function associated with the height from gradients problem. After discretization, the height from gradients problem becomes a discrete minimization problem rather than discretized PDE's. To solve the minimization problem, perturbation method is used. The surface height is finally decided after finding the weight coefficients.