Title
Shading through Defocus
Abstract
Traditional shape from defocus has been based on modeling the defocusing process through a normalized point spread function (PSF). Here we show that, in the general case, the normalization factor will depend on the depth map, what precludes shape estimation. If the camera is focused at far distances, however, such dependence can be neglected and an unnormalized PSF can be employed. We thus reformulate Pentland’s shape from defocus approach using unnormalized gaussians, and prove that, under certain assumptions, such model allows the estimation of a dense depth map from a single input image. Moreover, by using unnormalized Gabor functions as a generalization of the unnormalized-gaussian PSF, we are able to approximate any signal as resulting from a series of local, frequency-dependent defocusing processes, to which the modified Pentland’s approach also applies. Such approximation proves suitable for shading images, and has allowed us to obtain good shape-from-shading estimates essentially through a shape-from-defocus approach, without resorting to the reflectance map concept.
Year
DOI
Venue
2008
10.1007/978-3-540-89646-3_49
International Symposium on Visual Computing
Keywords
Field
DocType
shape estimation,unnormalized-gaussian psf,traditional shape,depth map,dense depth map,unnormalized psf,reflectance map concept,unnormalized gaussians,shape-from-defocus approach,unnormalized gabor function,shape from shading,point spread function
Computer vision,Normalization (statistics),Computer science,Artificial intelligence,Depth map,Point spread function,Reflectivity,Shading
Conference
Volume
ISSN
Citations 
5359
0302-9743
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
José R. A. Torreão15910.18
João L. Fernandes2163.80