THREEDIMENSIONAL SHAPE RECOVERY BASED ON SINGLE HISTORICAL IMAGE
seminarsense Active In SP Posts: 53 Joined: Nov 2010 
16112010, 09:30 PM
INTRODUCTION Image Reconstruction As name implies it is the process of reconstructing the three dimensional shape of a single frame image. principle The principle of 3Dreconstruction is that, the object's three dimensions are acquired by the conversion from the shade of gray to the depth of the information of the image. THREEDIMENSIONAL SHAPE RECOVERY.pdf (Size: 120.94 KB / Downloads: 56) The basic design concept The object surface shadeof gray can be expressed as E(x,y) = I(x,y)cos Where I(x,y) = Light intensity of the optical source. = Object surface re ectivity. = Included angle between optical source and object surface vertical vector The value of cos on the basis of inner product space is cos = p ppi+qqi+1 p2+q2+1 p p2 i +q2 i +1 The direction of the surface vertical vector of the brightest point of the image is calculated as Ei = I cos i Emax = I coss Where s = Source tilt angle i = Source tilt angle at point i Suppose any part of the image is sphere The coordinate of any point i on the surface is (xi ; yi ; zi ) Where xi = x0 + r sin i cos(i 


seminarsense Active In SP Posts: 53 Joined: Nov 2010 
16112010, 09:43 PM
ThreeDimensional Shape Recovery Based On
Single Historical Image Priyaraj P.R M1 AEI November 25, 2009 COLLEGE OF ENGINEERING, TRIVANDRUM ThreeDimensional Shape Recovery Based On.pdf (Size: 171.21 KB / Downloads: 46) Abstract To recover 3D shape of precious historical images, conventional methods are not used. This is because of we are not able to establish the geometrical relationship of coordinates. In this seminar and presentation we discus about a new method of 3D shape recovery based on single frame historical images. According to the change of the shade of gray of each pixel, the tilt angle and slant angle of the surface vertical vector of each object's pixel in the image is analyzed, then the depth of each pixel is calculated in response to the tilt angle and slant angle. Then the 3D digitized data of the image or object can be obtained by simulating human being's vision system and the process of thinking of brain makes the process of man's 3D comprehension of single image. This 3D digitized data can be used for the 3D recovery of historical images. Chapter 1 Principle of 3D shape recovery based on single frame image It may be regarded as that the change of the shade of gray of the image is caused by the change of the object shape [1] [2], because the light intensity of source, the distance between object and imaging, and surface re ectivity is usually xed in the image establishment. In the imaging process, though the incident light is the same, the information received by image processing equipment generate the dierence of the shade of gray, for the re ected light from the object parts with various shape is dierent. The basic design concept of this paper is to nd the clue of the object surface shape from the shade of gray. The object surface shade of gray can be expressed as: E(x; y) = I(x; y) cos (1.1) Where I(x,y) is the light intensity of optical source, is the object surface re ectivity and is the included angle between optical source and the object surface vertical vector. The included angle between optical source and the object surface vertical vector can be shown as formula (1.2) on the basis of the nature of inner product space cos = ppi + qqi + 1 p p2 + q2 + 1 p p2 i + q2 i + 1 (1.2) Put formula (1.2) into (1.1), then the shade of gray can be calculated as formula (1.3) E(x; y) = I(x; y) ppi + qqi + 1 p p2 + q2 + 1 p p2 i + q2 i + 1 (1.3) According to this, we got important information: the direction of the sur face vertical vector of the brightest point of the image is the same as the source direction. As the source vector direction xed, the direction of the surface ver tical vector of the brightest point of the image is conrmed soon afterwards. From formula (1.2), it is calculated as: Ei = I cos i (1.4) 1 Emax = I cos s (1.5) Where Ei is the brightness of the random point i of the image. Express ing the object surface shape needs to convert the shade of gray to the quantity relative to the object geometrical information. At the present time, the 4 ways are often employed in the expression of the forms of a surface. When the source direction is used as the z axis to establish the axis system, the source tilt angle s is 0, put s into formula (1.4), then the formula form is changed as: Ei Emax = cos i (1.6) Suppose any part of the object is a sphere, and the radius of the sphere is r, and the center of the sphere is (x0; y0; z0). If the coordinate of any point i on the surface is (xi; yi; zi), and the tilt and slant of the point i is i and i, then the relationship can be seen as formula (1.7, 1.8, 1.9): xi = x0 + r sin i cos i 



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